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University of Waterloo
1.
Lawrence, Liam Shawn Pritchard.
The Optimal Steady-State Control Problem.
Degree: 2019, University of Waterloo
URL: http://hdl.handle.net/10012/14510
► Many engineering systems – including electrical power networks, chemical processing plants, and communication networks – have a well-defined notion of an "optimal'" steady-state operating point.…
(more)
▼ Many engineering systems – including electrical power networks, chemical processing plants, and communication networks – have a well-defined notion of an "optimal'" steady-state operating point. This optimal operating point is often defined mathematically as the solution of a constrained optimization problem that seeks to minimize the monetary cost of distributing electricity, maximize the profit of chemical production, or minimize the communication latency between agents in a network. Optimal steady-state regulation is obviously of crucial importance in such systems.
This thesis is concerned with the optimal steady-state control problem, the problem of designing a controller to continuously and automatically regulate a dynamical system to an optimal operating point that minimizes cost while satisfying equipment constraints and other engineering requirements, even as this optimal operating point changes with time. An optimal steady-state controller must simultaneously solve the optimization problem and force the plant to track its solution.
This thesis makes two primary contributions. The first is a general problem definition and controller architecture for optimal steady-state control for nonlinear systems subject to time-varying exogenous inputs. We leverage output regulation theory to define the problem and provide necessary and sufficient conditions on any optimal steady-state controller. Regarding our controller architecture, the typical controller in the output regulation literature consists of two components: an internal model and a stabilizer. Inspired by this division, we propose that a typical optimal steady-state controller should consist of three pieces: an optimality model, an internal model, and a stabilizer. We show that our design framework encompasses many existing controllers from the literature.
The second contribution of this thesis is a complete constructive solution to an important special case of optimal steady-state control: the linear-convex case, when the plant is an uncertain linear time-invariant system subject to constant exogenous inputs and the optimization problem is convex. We explore the requirements on the plant and optimization problem that allow for optimal regulation even in the presence of parametric uncertainty, and we explore methods for stabilizer design using tools from robust control theory.
We illustrate the linear-convex theory on several examples. We first demonstrate the use of the small-gain theorem for stability analysis when a PI stabilizer is employed; we then show that we can use the solution to the H-infinity control problem to synthesize a stabilizer when the PI controller fails. Furthermore, we apply our theory to the design of controllers for the optimal frequency regulation problem in power systems and show that our methods recover standard designs from the literature.
Subjects/Keywords: control theory; robust control; optimization
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APA (6th Edition):
Lawrence, L. S. P. (2019). The Optimal Steady-State Control Problem. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/14510
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Lawrence, Liam Shawn Pritchard. “The Optimal Steady-State Control Problem.” 2019. Thesis, University of Waterloo. Accessed March 01, 2021.
http://hdl.handle.net/10012/14510.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Lawrence, Liam Shawn Pritchard. “The Optimal Steady-State Control Problem.” 2019. Web. 01 Mar 2021.
Vancouver:
Lawrence LSP. The Optimal Steady-State Control Problem. [Internet] [Thesis]. University of Waterloo; 2019. [cited 2021 Mar 01].
Available from: http://hdl.handle.net/10012/14510.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Lawrence LSP. The Optimal Steady-State Control Problem. [Thesis]. University of Waterloo; 2019. Available from: http://hdl.handle.net/10012/14510
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Coventry University
2.
Davies, I.
Optimal control of functional differential systems with application to transmission lines.
Degree: PhD, 2015, Coventry University
URL: http://curve.coventry.ac.uk/open/items/11749285-3b9a-44cf-bc72-0d02c27141bc/1
;
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.685591
► Robust control is an aspect of control theory which explicitly considers uncertainties and how they affect robust stability in the analysis and design of control…
(more)
▼ Robust control is an aspect of control theory which explicitly considers uncertainties and how they affect robust stability in the analysis and design of control decisions. A basic requirement for optimal robust guaranteed control in a real life scenario is the stabilization of systems in the presence of uncertainties or perturbations. In this thesis, the system uncertainties are embedded into a norm bounded uncertainty elements. The perturbation function is modelled as a class of nonlinear uncertainty influencing a neutral system with infinite delay. It is assumed to have delay in state and is input dependent; which implies the effect of control action can directly or indirectly influence the nonlinear perturbation function. In recognition of the fact that stability and controllability are fundamental in obtaining the optimal robust guaranteed cost control design for neutral functional integro-differential systems with infinite delays (NFDSID), total asymptotic stability results were developed using Razumikhin technique, unique properties of eigenvalues, and the uniform stability properties of the functional difference operator for neutral systems. The new results, obtained using Razumikhin’s technique, extend and complement basic stability results in neutral systems to NFDSID. Novel sufficient conditions were developed for the null controllability of nonlinear NFDSID when the controls are constrained. By exploring the knowledge gained through other controllability results; conditions are placed on the perturbation function. This guaranteed that, if the uncontrolled system is uniformly asymptotically stable, and the controlled system satisfies a full rank condition, then the control system is null controllable with constraint if it satisfies some algebraic conditions. The investigation of optimal robust guaranteed cost control method has resulted in a novel delay dependent stability criterion for a nonlinear NFDSID with a given quadratic cost function. The new design is based on a model transformation technique, Lyapunov matrix equation and Lyapunov-Razumikhin stability approach. The Lyapunov-Razumikhin technique is adopted for this investigation because it is considered more scalable for optimal robust guaranteed cost control design for NFDSID. It is demonstrated that a memory less feedback control can be synthesized appropriately to ensure: (i) the closed-loop systems robust stability, and (ii) guarantee that the closed-loop cost function value remains within a specified bound. The problem of designing the optimal guaranteed cost controller is also realized in terms of inequalities. The Lyapunov-Krasovskii method is used to obtain stability conditions in comparison to the Razumikhin method. This method leads to linear matrix inequality (LMI) for the delay-independent case which is known to be conservative. To illustrate the potential practical applicability of the theoretical results; a cascade connection of two fully filled chemical solution mixers, and an integrated lossless transmission line which has a…
Subjects/Keywords: 629.8; control theory; robust control
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
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APA (6th Edition):
Davies, I. (2015). Optimal control of functional differential systems with application to transmission lines. (Doctoral Dissertation). Coventry University. Retrieved from http://curve.coventry.ac.uk/open/items/11749285-3b9a-44cf-bc72-0d02c27141bc/1 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.685591
Chicago Manual of Style (16th Edition):
Davies, I. “Optimal control of functional differential systems with application to transmission lines.” 2015. Doctoral Dissertation, Coventry University. Accessed March 01, 2021.
http://curve.coventry.ac.uk/open/items/11749285-3b9a-44cf-bc72-0d02c27141bc/1 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.685591.
MLA Handbook (7th Edition):
Davies, I. “Optimal control of functional differential systems with application to transmission lines.” 2015. Web. 01 Mar 2021.
Vancouver:
Davies I. Optimal control of functional differential systems with application to transmission lines. [Internet] [Doctoral dissertation]. Coventry University; 2015. [cited 2021 Mar 01].
Available from: http://curve.coventry.ac.uk/open/items/11749285-3b9a-44cf-bc72-0d02c27141bc/1 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.685591.
Council of Science Editors:
Davies I. Optimal control of functional differential systems with application to transmission lines. [Doctoral Dissertation]. Coventry University; 2015. Available from: http://curve.coventry.ac.uk/open/items/11749285-3b9a-44cf-bc72-0d02c27141bc/1 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.685591

Delft University of Technology
3.
Jongeneel, Wouter (author).
Controlling the Unknown: A Game Theoretic Perspective.
Degree: 2019, Delft University of Technology
URL: http://resolver.tudelft.nl/uuid:b22ec1bb-b0b7-4ae4-896d-4d79d594c70a
► We consider the problem of safely controlling an unknown stochastic linear dynamical system subject to an infinite-horizon discounted quadratic cost. Many of the existing model-based…
(more)
▼ We consider the problem of safely controlling an unknown stochastic linear dynamical system subject to an infinite-horizon discounted quadratic cost. Many of the existing model-based approaches for handling the corresponding robust optimal control problem resort to game theoretic formulations of the uncertainty, either explicit- or implicitly. It is widely known that in practice the corresponding control laws can be rather conservative. In this work, we give further theoretical evidence that this is an inherent property of the underlying game theoretic formulation. We show that the most common uncertainty sets, for example resulting from linear least-squares identification, are almost surely different from the geometry a game theoretic adversary samples from. Nevertheless, we provide theoretical- and empirical evidence that a game theoretic control law has favourable properties over the nominal control law when the estimated model is obtained using regularized linear least-squares.
Mechanical Engineering | Systems and Control
Advisors/Committee Members: Mohajerin Esfahani, Peyman (mentor), Delft University of Technology (degree granting institution).
Subjects/Keywords: Game-Theory; Robust control; LQR
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Jongeneel, W. (. (2019). Controlling the Unknown: A Game Theoretic Perspective. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:b22ec1bb-b0b7-4ae4-896d-4d79d594c70a
Chicago Manual of Style (16th Edition):
Jongeneel, Wouter (author). “Controlling the Unknown: A Game Theoretic Perspective.” 2019. Masters Thesis, Delft University of Technology. Accessed March 01, 2021.
http://resolver.tudelft.nl/uuid:b22ec1bb-b0b7-4ae4-896d-4d79d594c70a.
MLA Handbook (7th Edition):
Jongeneel, Wouter (author). “Controlling the Unknown: A Game Theoretic Perspective.” 2019. Web. 01 Mar 2021.
Vancouver:
Jongeneel W(. Controlling the Unknown: A Game Theoretic Perspective. [Internet] [Masters thesis]. Delft University of Technology; 2019. [cited 2021 Mar 01].
Available from: http://resolver.tudelft.nl/uuid:b22ec1bb-b0b7-4ae4-896d-4d79d594c70a.
Council of Science Editors:
Jongeneel W(. Controlling the Unknown: A Game Theoretic Perspective. [Masters Thesis]. Delft University of Technology; 2019. Available from: http://resolver.tudelft.nl/uuid:b22ec1bb-b0b7-4ae4-896d-4d79d594c70a

University of Illinois – Urbana-Champaign
4.
Li, Dapeng.
Closed-loop analysis and feedback design in the presence of limited information.
Degree: PhD, 0133, 2011, University of Illinois – Urbana-Champaign
URL: http://hdl.handle.net/2142/24370
► Recent progress in communication technologies and their use in feedback control systems motivate to look deeper into the interplay of control and communication in the…
(more)
▼ Recent progress in communication technologies and their use in feedback
control systems motivate to look deeper into the interplay of
control and communication in the closed-loop feedback architecture. Among several research directions on this topic, a great deal of attention has been given to the fundamental limitations in the presence communication constraints. Entropy rate inequalities corresponding to the information flux in a typical causal closed loop have been derived towards obtaining a Bode-like integral formula.
This work extends the discrete-time result to continuous-time systems. The main challenge in this extension is that Kolmogorov's entropy rate equality, which is fundamental to the derivation of the result in discrete-time case, does not hold for continuous-time systems. Mutual information rate instead of entropy rate is used to represent the information flow in the closed-loop, and a limiting relationship due to Pinsker towards obtaining the mutual information rate between two continuous time processes from their discretized sequence is used to derive the Bode-like formula. The results are further extended to switched systems and a Bode integral formula is obtained under the assumption that the switching sequence is an ergodic Markov chain. To enable simplified calculation of the resulting lower bound, some Lie algebraic conditions are developed.
Besides analysis results, this dissertation also includes joint
control/communication design for closed-loop stability of performance. We consider the stabilization problem within Linear Quadratic Regulator framework, where a
control gain is chosen to minimize a linear quadratic cost functional while
subject to the input power constraint imposed by an additive Gaussian channel which closes the loop. Also focused on Gaussian channel, the channel noise attenuation problem is addressed, by using H-infinity/H2 methodology. Similar feedback optimal estimation problem is solved by using Kalman filtering
theory.
Advisors/Committee Members: Hovakimyan, Naira (advisor), Hovakimyan, Naira (Committee Chair), Kumar, P. R. (committee member), Dullerud, Geir E. (committee member), Mehta, Prashant G. (committee member).
Subjects/Keywords: Control Theory; Information Theory; Robust Control; Sensitivity Function; Stochastic Control
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Li, D. (2011). Closed-loop analysis and feedback design in the presence of limited information. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/24370
Chicago Manual of Style (16th Edition):
Li, Dapeng. “Closed-loop analysis and feedback design in the presence of limited information.” 2011. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed March 01, 2021.
http://hdl.handle.net/2142/24370.
MLA Handbook (7th Edition):
Li, Dapeng. “Closed-loop analysis and feedback design in the presence of limited information.” 2011. Web. 01 Mar 2021.
Vancouver:
Li D. Closed-loop analysis and feedback design in the presence of limited information. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2011. [cited 2021 Mar 01].
Available from: http://hdl.handle.net/2142/24370.
Council of Science Editors:
Li D. Closed-loop analysis and feedback design in the presence of limited information. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2011. Available from: http://hdl.handle.net/2142/24370

University of New South Wales
5.
Yan, Yitao.
Distributed Control of Interconnected Systems in the Behavioural Framework.
Degree: Chemical Engineering, 2020, University of New South Wales
URL: http://handle.unsw.edu.au/1959.4/67153
► The rapid development of technology has made the design, monitoring and data storage of large-scale, complex interconnected systems possible. These efficient and economical interconnected systems…
(more)
▼ The rapid development of technology has made the design, monitoring and data storage of large-scale, complex interconnected systems possible. These efficient and economical interconnected systems come with a price: the complex dynamics due to convoluted interconnections make the effective
control of such a system incredibly difficult. The behaviour of the subsystems in a network is vastly different than that when it is not, and the inherent uncertainties due to modelling errors may be amplified as a result of the strong interactions. Furthermore, the ability to collect and process large amount of data leads to the paradigm shift from model-centric description to data-centric description or hybrid model/data description of a system. These challenges necessitate the need for a unified foundation for the
control of complex systems that is able to admit descriptions of systems not only limited to the conventional differential/difference models.Motivated by these challenges, this thesis aims to develop such a framework for the distributed
control of an interconnected system using the behavioural systems
theory. As a
theory that focuses on analysing the dynamics of the external variables and places the trajectories admissible within the system as the central role of describing a dynamical system, it is perfect for the construction of a platform that unifies various classes of systems and is effective in the analysis of interconnections. The framework is eventually set up as a completely representation-free structure, allowing for free choice of representations for the systems according to the specific needs. Algorithms for several representation structures are also provided.For the case where the subsystems are represented as linear time-invariant differential systems while the global requirements are specified as H-infinity type conditions, the
control design follows a two-step algorithm. Firstly, the behaviours of the subsystems, the (to-be-designed) controllers as well as the global requirements are all represented as dissipative dynamical systems with quadratic supply rates, from which the (to-be-determined) controller supply rates can be found. Secondly, parametrisations of the supply rates are carried out to search for linear time-invariant representations for the controllers. Algorithms for subsystems with various types of parametric uncertainties are given to add robustness to the controllers. The resulting framework deals with interconnections, uncertainties in the subsystems and disturbance attenuation simultaneously.For the general framework, neither the subsystems nor the controllers have prescribed representations. The behaviours of the subsystems are denoted by their respective sets of trajectories and interconnections are interpreted entirely as variable sharing instead of signal flows. Furthermore, the network of an interconnected system is also defined as a dynamical system with its own behaviour, leading to a generic, scalable and flexible representation of the interconnected behaviour. From this…
Advisors/Committee Members: Bao, Jie, Chemical Engineering, Faculty of Engineering, UNSW.
Subjects/Keywords: Distributed Control; Behavioural Systems Theory; Dissipativity; Robust Control
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Yan, Y. (2020). Distributed Control of Interconnected Systems in the Behavioural Framework. (Doctoral Dissertation). University of New South Wales. Retrieved from http://handle.unsw.edu.au/1959.4/67153
Chicago Manual of Style (16th Edition):
Yan, Yitao. “Distributed Control of Interconnected Systems in the Behavioural Framework.” 2020. Doctoral Dissertation, University of New South Wales. Accessed March 01, 2021.
http://handle.unsw.edu.au/1959.4/67153.
MLA Handbook (7th Edition):
Yan, Yitao. “Distributed Control of Interconnected Systems in the Behavioural Framework.” 2020. Web. 01 Mar 2021.
Vancouver:
Yan Y. Distributed Control of Interconnected Systems in the Behavioural Framework. [Internet] [Doctoral dissertation]. University of New South Wales; 2020. [cited 2021 Mar 01].
Available from: http://handle.unsw.edu.au/1959.4/67153.
Council of Science Editors:
Yan Y. Distributed Control of Interconnected Systems in the Behavioural Framework. [Doctoral Dissertation]. University of New South Wales; 2020. Available from: http://handle.unsw.edu.au/1959.4/67153

University of New South Wales
6.
Roy, Tushar Kanti.
Robust Backstepping Control for Small Helicopter.
Degree: Engineering & Information Technology Canberra, 2012, University of New South Wales
URL: http://handle.unsw.edu.au/1959.4/52197
;
https://unsworks.unsw.edu.au/fapi/datastream/unsworks:10867/SOURCE01?view=true
► This thesis is concerned with robust control theory and its application to the autonomous flight control system of small-scale unmanned autonomous helicopters.The goal of this…
(more)
▼ This thesis is concerned with
robust control theory and its application to the autonomous flight
control system of small-scale unmanned autonomous helicopters.The goal of this thesis is to
control a small-scale unmanned helicopter for different flight modes in the presence of external disturbances. The
control approachis based on the backstepping
control theory. Backstepping is a nonlinear controldesign method that provides an alternative to feedback linearization. It is based onLyapunov
theory, the
control laws and a Lyapunov function are derived simultaneously. This Lyapunov function is used to guarantee the stability of the closed-loopsystem.Firstly, a
robust backstepping
control technique for the heave motion of a small-scale unmanned helicopter to automatic height
control is proposed. In general, thecontrol of a small-scale helicopter is a difficult task, because its system is highlynonlinear, coupled and sensitive to the
control inputs and external disturbances.For simplicity, only vertical flight motion is focused on in this study. The influencesof external wind gusts and the ground effect are taken into account within the heavemotion model. When the performance of the proposed
control method is examinedin a computer simulation model, it is shown that it can achieve the desired heightand compensate the effect of external wind gusts and the ground effect.Secondly, the horizontal position
control for the linearized version of the non-linear model representing a small unmanned helicopter with external wind gusts isconsidered. Based on the Lyapunov stability
theory, a stable
robust backsteppingcontroller is derived. For comparison purposes, another controller is also designedbased on the linear quadratic regulator (LQR) criteria. To test their performancesa computer simulation is conducted, which shows that the proposed controller hasrapid horizontal position tracking and a good gust attenuation capability.Finally, a
robust controller for the nonlinear system of a small-scale unmannedautonomous helicopter with unknown external wind gusts is considered. The
robust backstepping
control law is derived from the Lyapunov stability analysis whichguarantees that the unknown external parameter estimation error is bounded. Theproposed controller has the ability to stabilise the helicopter system and successfullyachieves our
control objective.
Advisors/Committee Members: Garratt, Matt, Engineering & Information Technology, UNSW Canberra, UNSW, Pota, Hemanshu, Engineering & Information Technology, UNSW Canberra, UNSW.
Subjects/Keywords: Lyapunov function; Robust control theory; Autonomous flight control; Stability analysis
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Roy, T. K. (2012). Robust Backstepping Control for Small Helicopter. (Masters Thesis). University of New South Wales. Retrieved from http://handle.unsw.edu.au/1959.4/52197 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:10867/SOURCE01?view=true
Chicago Manual of Style (16th Edition):
Roy, Tushar Kanti. “Robust Backstepping Control for Small Helicopter.” 2012. Masters Thesis, University of New South Wales. Accessed March 01, 2021.
http://handle.unsw.edu.au/1959.4/52197 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:10867/SOURCE01?view=true.
MLA Handbook (7th Edition):
Roy, Tushar Kanti. “Robust Backstepping Control for Small Helicopter.” 2012. Web. 01 Mar 2021.
Vancouver:
Roy TK. Robust Backstepping Control for Small Helicopter. [Internet] [Masters thesis]. University of New South Wales; 2012. [cited 2021 Mar 01].
Available from: http://handle.unsw.edu.au/1959.4/52197 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:10867/SOURCE01?view=true.
Council of Science Editors:
Roy TK. Robust Backstepping Control for Small Helicopter. [Masters Thesis]. University of New South Wales; 2012. Available from: http://handle.unsw.edu.au/1959.4/52197 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:10867/SOURCE01?view=true

Drexel University
7.
Zambare, Neeraj Chudaman.
Studies in robust estimation and control.
Degree: 2001, Drexel University
URL: http://hdl.handle.net/1860/93
► Effective monitoring and tight control of chemical, petrochemical and biochemical processes are often hindered by the absence of frequent measurements of important process variables that…
(more)
▼ Effective monitoring and tight control of chemical, petrochemical and biochemical processes are often hindered by the absence of frequent measurements of important process variables that are related to product quality, the presence of process-model mismatch, unmeasureable disturbances, measurement noise, and highly nonlinear process dynamics. This dissertation presents new methods of nonlinear estimation and control in the presence of such practical problems. Simulation and real-time implementation are used to show the capability and the ease of implementation of the developed estimation and control methods. The inadequacy of the standard notions of detectability and observability to ascertain robust state estimation is shown. To address this inadequacy, the notions of integral detectability and integral observability are defined. A method of robust, nonlinear, multi-rate, state estimator design is developed. It can be used to improve robustness in an existing estimator or to design a new robust estimator. Real-time implementation of such a robust estimator on a polymerization reactor, in DuPontâs Marshall Laboratory, Philadelphia, PA, shows that the estimator calculates robust continuous estimates of monomer concentration, and polymer weight-average and number-average molecular weights from their infrequent and delayed measurements and frequent temperature measurements. An expression is developed to calculate an upper bound on the maximum sampling period and time delay of infrequent measurements, such that estimation error does not exceed a desired limit. The upper bound depends directly on process time constants, and inversely on disturbance magnitude, process-model mismatch and measurement noise. For a class of free-radical polymerization reactors that exhibit multiple steady states, a nonlinear output feedback control law (which includes an input-output linearizing state feedback, and a reduced-order nonlinear state observer) is presented. For this class of processes, the global asymptotic stability of the closed-loop system is proven. A robust multi-rate nonlinear controller, comprising a mixed error- and state-feedback controller and the robust estimator, is derived and used for tight control of temperature and weight-average molecular weight in a polymerization reactor under different measurement scenarios. Superior performance is demonstrated as compared to that of conventional multi-rate controllers.
Ph.D., Chemical Engineering – Drexel University, 2001
Advisors/Committee Members: Soroush, Masoud.
Subjects/Keywords: Nonlinear control theory; Robust control
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Zambare, N. C. (2001). Studies in robust estimation and control. (Thesis). Drexel University. Retrieved from http://hdl.handle.net/1860/93
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Zambare, Neeraj Chudaman. “Studies in robust estimation and control.” 2001. Thesis, Drexel University. Accessed March 01, 2021.
http://hdl.handle.net/1860/93.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Zambare, Neeraj Chudaman. “Studies in robust estimation and control.” 2001. Web. 01 Mar 2021.
Vancouver:
Zambare NC. Studies in robust estimation and control. [Internet] [Thesis]. Drexel University; 2001. [cited 2021 Mar 01].
Available from: http://hdl.handle.net/1860/93.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Zambare NC. Studies in robust estimation and control. [Thesis]. Drexel University; 2001. Available from: http://hdl.handle.net/1860/93
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Boston University
8.
Sadraddini, Sadra.
Formal methods for resilient control.
Degree: PhD, Mechanical Engineering, 2018, Boston University
URL: http://hdl.handle.net/2144/27455
► Many systems operate in uncertain, possibly adversarial environments, and their successful operation is contingent upon satisfying specific requirements, optimal performance, and ability to recover from…
(more)
▼ Many systems operate in uncertain, possibly adversarial environments, and their successful operation is contingent upon satisfying specific requirements, optimal performance, and ability to recover from unexpected situations. Examples are prevalent in many engineering disciplines such as transportation, robotics, energy, and biological systems. This thesis studies designing correct, resilient, and optimal controllers for discrete-time complex systems from elaborate, possibly vague, specifications.
The first part of the contributions of this thesis is a framework for optimal control of non-deterministic hybrid systems from specifications described by signal temporal logic (STL), which can express a broad spectrum of interesting properties. The method is optimization-based and has several advantages over the existing techniques. When satisfying the specification is impossible, the degree of violation - characterized by STL quantitative semantics - is minimized. The computational limitations are discussed.
The focus of second part is on specific types of systems and specifications for which controllers are synthesized efficiently. A class of monotone systems is introduced for which formal synthesis is scalable and almost complete. It is shown that hybrid macroscopic traffic models fall into this class. Novel techniques in modular verification and synthesis are employed for distributed optimal control, and their usefulness is shown for large-scale traffic management. Apart from monotone systems, a method is introduced for robust constrained control of networked linear systems with communication constraints. Case studies on longitudinal control of vehicular platoons are presented.
The third part is about learning-based control with formal guarantees. Two approaches are studied. First, a formal perspective on adaptive control is provided in which the model is represented by a parametric transition system, and the specification is captured by an automaton. A correct-by-construction framework is developed such that the controller infers the actual parameters and plans accordingly for all possible future transitions and inferences. The second approach is based on hybrid model identification using input-output data. By assuming some limited knowledge of the range of system behaviors, theoretical performance guarantees are provided on implementing the controller designed for the identified model on the original unknown system.
Subjects/Keywords: Mechanical engineering; Control theory; Formal methods; Optimal control; Resilient control; Robust control
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APA (6th Edition):
Sadraddini, S. (2018). Formal methods for resilient control. (Doctoral Dissertation). Boston University. Retrieved from http://hdl.handle.net/2144/27455
Chicago Manual of Style (16th Edition):
Sadraddini, Sadra. “Formal methods for resilient control.” 2018. Doctoral Dissertation, Boston University. Accessed March 01, 2021.
http://hdl.handle.net/2144/27455.
MLA Handbook (7th Edition):
Sadraddini, Sadra. “Formal methods for resilient control.” 2018. Web. 01 Mar 2021.
Vancouver:
Sadraddini S. Formal methods for resilient control. [Internet] [Doctoral dissertation]. Boston University; 2018. [cited 2021 Mar 01].
Available from: http://hdl.handle.net/2144/27455.
Council of Science Editors:
Sadraddini S. Formal methods for resilient control. [Doctoral Dissertation]. Boston University; 2018. Available from: http://hdl.handle.net/2144/27455

University of Waterloo
9.
Shahab, Mohamad T.
A New Approach to Multi-Model Adaptive Control.
Degree: 2020, University of Waterloo
URL: http://hdl.handle.net/10012/15766
► Adaptive control is an approach used to deal with systems with uncertain or time-varying parameters. A classical adaptive controller typically consists of a linear time-invariant…
(more)
▼ Adaptive control is an approach used to deal with systems with uncertain or time-varying parameters. A classical adaptive controller typically consists of a linear time-invariant (LTI) control law together with a tuning mechanism which adjusts its parameters. Usually, though not exclusively, discrete-time adaptive controllers provide only asymptotic stability and possibly bounded-noise bounded-state stability; neither exponential stability nor a bounded noise gain is typically proven. Recently it has been shown that if we employ a parameter estimator based on the original Projection Algorithm together with projecting the parameter estimates onto a given compact and convex set, then the adaptive controller guarantees linear-like closed-loop behavior: exponential stability, a bounded noise gain and a convolution bound on the exogenous inputs. In this thesis, the overarching objective is to show that we can prove these same desirable linear-like properties in a wide range of adaptive control problems without the convexity assumption: the main idea is to use multiple estimators and a switching algorithm. Indeed, we show that those properties arise in a surprisingly natural way.
We first prove a general result that exponential stability and a convolution bound on the closed-loop behavior can be leveraged to show tolerance to a degree of time-variations and unmodelled dynamics, i.e. such closed-loop properties guarantee robustness. After reviewing the original Projection Algorithm and introducing the reader to our slightly revised version, we turn our attention to controller design, with a focus on a non-convex set of plant uncertainty. As a starting point, we first consider first-order plants incorporating a simple switching algorithm. We then extend the approach to a class of nonlinear plants (which have stable zero dynamics); we consider both cases of convex and non-convex sets of parameter uncertainty. Afterwards, we turn to possibly non-minimum phase LTI plants; first we consider the stabilization problem for which we have two convex sets of uncertainty; then, we turn to the problem of tracking the sum of a finite number of sinusoids of known frequencies subject to an unknown plant order and a general compact set of uncertainty.
Subjects/Keywords: adaptive control; switching adaptive control; exponential stability; robust adaptive control; control theory; projection algorithm; multi-model; Adaptive control systems; Control theory
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Shahab, M. T. (2020). A New Approach to Multi-Model Adaptive Control. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/15766
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Shahab, Mohamad T. “A New Approach to Multi-Model Adaptive Control.” 2020. Thesis, University of Waterloo. Accessed March 01, 2021.
http://hdl.handle.net/10012/15766.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Shahab, Mohamad T. “A New Approach to Multi-Model Adaptive Control.” 2020. Web. 01 Mar 2021.
Vancouver:
Shahab MT. A New Approach to Multi-Model Adaptive Control. [Internet] [Thesis]. University of Waterloo; 2020. [cited 2021 Mar 01].
Available from: http://hdl.handle.net/10012/15766.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Shahab MT. A New Approach to Multi-Model Adaptive Control. [Thesis]. University of Waterloo; 2020. Available from: http://hdl.handle.net/10012/15766
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Oxford
10.
Evans, Martin A.
Multiplicative robust and stochastic MPC with application to wind turbine control.
Degree: PhD, 2014, University of Oxford
URL: http://ora.ox.ac.uk/objects/uuid:0ad9b878-00f3-4cfa-a683-148765e3ae39
;
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.635233
► A robust model predictive control algorithm is presented that explicitly handles multiplicative, or parametric, uncertainty in linear discrete models over a finite horizon. The uncertainty…
(more)
▼ A robust model predictive control algorithm is presented that explicitly handles multiplicative, or parametric, uncertainty in linear discrete models over a finite horizon. The uncertainty in the predicted future states and inputs is bounded by polytopes. The computational cost of running the controller is reduced by calculating matrices offline that provide a means to construct outer approximations to robust constraints to be applied online. The robust algorithm is extended to problems of uncertain models with an allowed probability of violation of constraints. The probabilistic degrees of satisfaction are approximated by one-step ahead sampling, with a greedy solution to the resulting mixed integer problem. An algorithm is given to enlarge a robustly invariant terminal set to exploit the probabilistic constraints. Exponential basis functions are used to create a Robust MPC algorithm for which the predictions are defined over the infinite horizon. The control degrees of freedom are weights that define the bounds on the state and input uncertainty when multiplied by the basis functions. The controller handles multiplicative and additive uncertainty. Robust MPC is applied to the problem of wind turbine control. Rotor speed and tower oscillations are controlled by a low sample rate robust predictive controller. The prediction model has multiplicative and additive uncertainty due to the uncertainty in short-term future wind speeds and in model linearisation. Robust MPC is compared to nominal MPC by means of a high-fidelity numerical simulation of a wind turbine under the two controllers in a wide range of simulated wind conditions.
Subjects/Keywords: 629.8; Control engineering; predictive control; model predictive control; robust control; stochastic MPC; probabilistic control; control theory; wind power; wind turbine control
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Evans, M. A. (2014). Multiplicative robust and stochastic MPC with application to wind turbine control. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:0ad9b878-00f3-4cfa-a683-148765e3ae39 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.635233
Chicago Manual of Style (16th Edition):
Evans, Martin A. “Multiplicative robust and stochastic MPC with application to wind turbine control.” 2014. Doctoral Dissertation, University of Oxford. Accessed March 01, 2021.
http://ora.ox.ac.uk/objects/uuid:0ad9b878-00f3-4cfa-a683-148765e3ae39 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.635233.
MLA Handbook (7th Edition):
Evans, Martin A. “Multiplicative robust and stochastic MPC with application to wind turbine control.” 2014. Web. 01 Mar 2021.
Vancouver:
Evans MA. Multiplicative robust and stochastic MPC with application to wind turbine control. [Internet] [Doctoral dissertation]. University of Oxford; 2014. [cited 2021 Mar 01].
Available from: http://ora.ox.ac.uk/objects/uuid:0ad9b878-00f3-4cfa-a683-148765e3ae39 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.635233.
Council of Science Editors:
Evans MA. Multiplicative robust and stochastic MPC with application to wind turbine control. [Doctoral Dissertation]. University of Oxford; 2014. Available from: http://ora.ox.ac.uk/objects/uuid:0ad9b878-00f3-4cfa-a683-148765e3ae39 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.635233

University of Kansas
11.
Bowman, Alec Davis.
Gain-Scheduled H-Infinity Control and Analysis of a Nonlinear Generic Hypersonic Vehicle.
Degree: MS, Aerospace Engineering, 2016, University of Kansas
URL: http://hdl.handle.net/1808/22339
► The concept of hypersonic flight has been around for many years. In recent years, emerging technologies and market forces have renewed latent interest in this…
(more)
▼ The concept of hypersonic flight has been around for many years. In recent years, emerging technologies and market forces have renewed latent interest in this challenging field. With many private and government institutions driving new innovations, these concepts are becoming reality. New research is needed to facilitate future innovation and deployment. The complex dynamic behaviors within the hypersonic flight envelope must be studied for designers to either mitigate or compensate for their effects on future vehicles.
Control techniques must be adapted to suit the unstable and highly nonlinear dynamics of such systems. This work has two goals: to explore the dynamic characteristics of hypersonic flight and to
control such a vehicle in the face of non-linearly changing dynamics. A nonlinear, 6 degree of freedom dynamic model of a Generic Hypersonic Vehicle is developed. The model integrates changing mass, moments of inertia, and center of gravity as a function of fuel burn. A bank of spline interpolation tables generates aerodynamic coefficients dependent on speed, angle of attack, and
control surface deflections for the entire flight envelope. The nonlinear model of the full flight envelope is then reduced to a series of linear models to represent the aircraft trimmed under straight and level flight conditions over the range of Mach numbers, Mach 2 to 23. The changing Longitudinal and Lateral dynamics of the linearized system are analyzed as a function of Mach number using standard linear techniques to show the changing vehicle characteristics. A spline-based gain-scheduled, H-infinity controller is also designed for a subset of the linear systems. The controller stabilizes the system between Mach 4.9 and 7.1, with aircraft weight ranging from 160,000 to 230,000 pounds and from 68,000 to 92,000 feet altitude. The controller maintains system stability while commanded to change both Mach number and altitude within the gain-scheduled envelope. Additionally, the controller’s performance is assessed in the presence of low frequency disturbances.
Advisors/Committee Members: Keshmiri, Shawn S (advisor), Ewing, Mark S (cmtemember), Hale, Richard D (cmtemember).
Subjects/Keywords: Aerospace engineering; aircraft dynamics; control theory; gain scheduling; h-infinity control; Hypersonic aircraft; robust control
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Bowman, A. D. (2016). Gain-Scheduled H-Infinity Control and Analysis of a Nonlinear Generic Hypersonic Vehicle. (Masters Thesis). University of Kansas. Retrieved from http://hdl.handle.net/1808/22339
Chicago Manual of Style (16th Edition):
Bowman, Alec Davis. “Gain-Scheduled H-Infinity Control and Analysis of a Nonlinear Generic Hypersonic Vehicle.” 2016. Masters Thesis, University of Kansas. Accessed March 01, 2021.
http://hdl.handle.net/1808/22339.
MLA Handbook (7th Edition):
Bowman, Alec Davis. “Gain-Scheduled H-Infinity Control and Analysis of a Nonlinear Generic Hypersonic Vehicle.” 2016. Web. 01 Mar 2021.
Vancouver:
Bowman AD. Gain-Scheduled H-Infinity Control and Analysis of a Nonlinear Generic Hypersonic Vehicle. [Internet] [Masters thesis]. University of Kansas; 2016. [cited 2021 Mar 01].
Available from: http://hdl.handle.net/1808/22339.
Council of Science Editors:
Bowman AD. Gain-Scheduled H-Infinity Control and Analysis of a Nonlinear Generic Hypersonic Vehicle. [Masters Thesis]. University of Kansas; 2016. Available from: http://hdl.handle.net/1808/22339

NSYSU
12.
Hsu, Shih-lin.
Robust Control Design for Wind Power System with Dynamic Integral Quadratic Constraints.
Degree: Master, Electrical Engineering, 2016, NSYSU
URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0625116-161155
► In the real world, a wind turbine generator system may be affected by various uncertain factors, such as external disturbances, wear loss of the individual…
(more)
▼ In the real world, a wind turbine generator system may be affected by various uncertain factors, such as external disturbances, wear loss of the individual components, variation of critical parameters, etc., which may result in unexpected reduced performance. In this thesis, we consider
control design problem if a new wind turbine generator system, which was introduced in [1]. Based on the
robust control point of view, we establish a mathematical model with structured uncertainties for the system. A
robust control is then designed based on the Hâ norm minimization principle. Moreover, the problem caused by the resistance mismatch is also addressed and handled under the integral quadratic constraint framework.
The principle design objective considered in this thesis is to ensure the maximal power tracking and maintaining a constant rotational
speed - and hence a constant frequency of the electrical power output. In case the resistance mismatch occurs, the system equations governing the power generation are transformed in such a way that the periodic time-varying terms appearing as part of the structured uncertainties in feedback interconnection with a nominal dynamics. Integral quadratic constraints are then utilized to characterized these uncertainties and an Hâ optimal controller is designed based on the resulting
robust stability criterion. The simulation results shows that the Hâ optimal controller designed by this approach renders satisfactory performance.
Advisors/Committee Members: Li Lee (chair), Jau-Wei Perng (chair), Chung-Yao Kao (committee member), Chih-Chiang Cheng (chair).
Subjects/Keywords: wind turbine generator; robust control theory; uncertainty; IQC; Hâ optimal controller
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Hsu, S. (2016). Robust Control Design for Wind Power System with Dynamic Integral Quadratic Constraints. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0625116-161155
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Hsu, Shih-lin. “Robust Control Design for Wind Power System with Dynamic Integral Quadratic Constraints.” 2016. Thesis, NSYSU. Accessed March 01, 2021.
http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0625116-161155.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Hsu, Shih-lin. “Robust Control Design for Wind Power System with Dynamic Integral Quadratic Constraints.” 2016. Web. 01 Mar 2021.
Vancouver:
Hsu S. Robust Control Design for Wind Power System with Dynamic Integral Quadratic Constraints. [Internet] [Thesis]. NSYSU; 2016. [cited 2021 Mar 01].
Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0625116-161155.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Hsu S. Robust Control Design for Wind Power System with Dynamic Integral Quadratic Constraints. [Thesis]. NSYSU; 2016. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0625116-161155
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

NSYSU
13.
Wu, Tung-han.
Robust Control Design for A Novel Wind Power System.
Degree: Master, Electrical Engineering, 2015, NSYSU
URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0524115-222707
► Robustness is a very important topic in control-system design because real engineering systems are vulnerable to external disturbance and measurement noise and there are always…
(more)
▼ Robustness is a very important topic in
control-system design because real engineering systems are vulnerable to external disturbance and measurement noise and there are always difference between mathematical models and the actual system. In this thesis, we consider a
robust stabilization problem over a new wind turbine generator system which was introduced in [1], the design process including modelling of uncertain system,
robust stability and performance analysis, and
robust controller design.
The design objective for the system is to find an Hâ optimal controller, which ensures the maximum power and speed tracking erorr of the system to be small. In order to verify the controller, the MATLAB, Simulink, and DSP are used in this application. We realize the controller by the DSP, eZdSP F28335. The simulation results shows that the closed-loop system with Hâ optimal controller achieves a satisfactory level of
robust stability and
robust performance.
Advisors/Committee Members: Chih-Chiang Cheng (chair), Tzuen-Lih Chen (chair), Chung-Yao Kao (committee member), Chang-Hua Lien (chair).
Subjects/Keywords: wind turbine generator; uncertainty; Hâ optimal controller; DSP; robust control theory
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Wu, T. (2015). Robust Control Design for A Novel Wind Power System. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0524115-222707
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Wu, Tung-han. “Robust Control Design for A Novel Wind Power System.” 2015. Thesis, NSYSU. Accessed March 01, 2021.
http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0524115-222707.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Wu, Tung-han. “Robust Control Design for A Novel Wind Power System.” 2015. Web. 01 Mar 2021.
Vancouver:
Wu T. Robust Control Design for A Novel Wind Power System. [Internet] [Thesis]. NSYSU; 2015. [cited 2021 Mar 01].
Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0524115-222707.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Wu T. Robust Control Design for A Novel Wind Power System. [Thesis]. NSYSU; 2015. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0524115-222707
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Delft University of Technology
14.
Lambrechts, P.F.
The Application of Robust Control Theory Concepts to Mechanical Servo Systems.
Degree: 1994, Delft University of Technology
URL: http://resolver.tudelft.nl/uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91
;
urn:NBN:nl:ui:24-uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91
;
urn:NBN:nl:ui:24-uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91
;
http://resolver.tudelft.nl/uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91
Subjects/Keywords: robust control theory; mechanical servosystems
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Lambrechts, P. F. (1994). The Application of Robust Control Theory Concepts to Mechanical Servo Systems. (Doctoral Dissertation). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91 ; urn:NBN:nl:ui:24-uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91 ; urn:NBN:nl:ui:24-uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91 ; http://resolver.tudelft.nl/uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91
Chicago Manual of Style (16th Edition):
Lambrechts, P F. “The Application of Robust Control Theory Concepts to Mechanical Servo Systems.” 1994. Doctoral Dissertation, Delft University of Technology. Accessed March 01, 2021.
http://resolver.tudelft.nl/uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91 ; urn:NBN:nl:ui:24-uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91 ; urn:NBN:nl:ui:24-uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91 ; http://resolver.tudelft.nl/uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91.
MLA Handbook (7th Edition):
Lambrechts, P F. “The Application of Robust Control Theory Concepts to Mechanical Servo Systems.” 1994. Web. 01 Mar 2021.
Vancouver:
Lambrechts PF. The Application of Robust Control Theory Concepts to Mechanical Servo Systems. [Internet] [Doctoral dissertation]. Delft University of Technology; 1994. [cited 2021 Mar 01].
Available from: http://resolver.tudelft.nl/uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91 ; urn:NBN:nl:ui:24-uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91 ; urn:NBN:nl:ui:24-uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91 ; http://resolver.tudelft.nl/uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91.
Council of Science Editors:
Lambrechts PF. The Application of Robust Control Theory Concepts to Mechanical Servo Systems. [Doctoral Dissertation]. Delft University of Technology; 1994. Available from: http://resolver.tudelft.nl/uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91 ; urn:NBN:nl:ui:24-uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91 ; urn:NBN:nl:ui:24-uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91 ; http://resolver.tudelft.nl/uuid:c442ab29-b9cb-49c3-806e-1b83587d3e91

Louisiana State University
15.
Gruszka, Aleksandra.
Some tracking problems for aerospace models with input constraints.
Degree: PhD, Applied Mathematics, 2012, Louisiana State University
URL: etd-06052012-163734
;
https://digitalcommons.lsu.edu/gradschool_dissertations/1132
► We study tracking controller design problems for key models of planar vertical takeoff and landing (PVTOL) aircraft and unmanned air vehicles (UAVs). The novelty of…
(more)
▼ We study tracking controller design problems for key models of planar vertical takeoff and landing (PVTOL) aircraft and unmanned air vehicles (UAVs). The novelty of our PVTOL work is the global boundedness of our controllers in the decoupled coordinates, the positive uniform lower bound on the thrust controller, the applicability of our work to cases where the velocity measurements may not be available, the uniform global asymptotic stability and uniform local exponential stability of our closed loop tracking dynamics, the generality of our class of trackable reference trajectories, and the input-to-state stability of the controller performance under actuator errors of arbitrarily large amplitude. The significance of our UAV results is the generality of the trackable trajectories, the input-to-state stability properties of the tracking dynamics with respect to additive uncertainty on the controllers, and our ability to satisfy command amplitude and command rate constraints as well as state dependent command constraints and a state constraint on the velocity. Our work is based on a Matrosov approach for converting a nonstrict Lyapunov function for the UAV tracking dynamics into a strict one, in conjunction with asymptotic strict Lyapunov function methods and bounded backstepping.
Subjects/Keywords: control theory; dynamical systems; aerospace engineering; input constraints; robust tracking
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Gruszka, A. (2012). Some tracking problems for aerospace models with input constraints. (Doctoral Dissertation). Louisiana State University. Retrieved from etd-06052012-163734 ; https://digitalcommons.lsu.edu/gradschool_dissertations/1132
Chicago Manual of Style (16th Edition):
Gruszka, Aleksandra. “Some tracking problems for aerospace models with input constraints.” 2012. Doctoral Dissertation, Louisiana State University. Accessed March 01, 2021.
etd-06052012-163734 ; https://digitalcommons.lsu.edu/gradschool_dissertations/1132.
MLA Handbook (7th Edition):
Gruszka, Aleksandra. “Some tracking problems for aerospace models with input constraints.” 2012. Web. 01 Mar 2021.
Vancouver:
Gruszka A. Some tracking problems for aerospace models with input constraints. [Internet] [Doctoral dissertation]. Louisiana State University; 2012. [cited 2021 Mar 01].
Available from: etd-06052012-163734 ; https://digitalcommons.lsu.edu/gradschool_dissertations/1132.
Council of Science Editors:
Gruszka A. Some tracking problems for aerospace models with input constraints. [Doctoral Dissertation]. Louisiana State University; 2012. Available from: etd-06052012-163734 ; https://digitalcommons.lsu.edu/gradschool_dissertations/1132
16.
Baker, Winston.
Performance-Robust Dynamic Feedback Control of Lipschitz Nonlinear Systems.
Degree: 2016, Marquette University
URL: https://epublications.marquette.edu/dissertations_mu/678
► This dissertation addresses the dynamic control of nonlinear systems with finite energy noise in the state and measurement equations. Regional eigenvalue assignment (REA) is used…
(more)
▼ This dissertation addresses the dynamic
control of nonlinear systems with finite energy noise in the state and measurement equations. Regional eigenvalue assignment (REA) is used to ensure that the state estimate error is driven to zero significantly faster than the state itself. Moreover, the controller is designed for the resulting closed loop system to achieve any one of a set of general performance criteria (GPC). The nonlinear model is assumed to have a Lipschitz nonlinearity both in the state and measurement equations. By using the norm bound of the nonlinearity, the controller is designed to be
robust against all nonlinearities satisfying the norm-bound. A Luenberger-type nonlinear observer is used to estimate the system state, which is not directly measurable. The choice of the eigenvalue locations for the linear part of the system is based on the transient response specifications and the separation of the controller dynamics from the observer dynamics. Furthermore, the GPC are incorporated to achieve performance requirements such as H2, H∞, etc. The advantage of using GPC is it allows the designer flexibility in choosing a performance objective to tune the system. The design problem introduced in this dissertation uses various mathematical techniques to derive LMI conditions for the controller and observer design using REA, GPC, and the bounds on the Lipschitz nonlinearities. All work will be demonstrated in both continuous- and discrete-time. Illustrative examples in both time domains are given to demonstrate the proposed design procedure. Multiple numerical approaches are also presented and compared in simulations for ease of use, applicability, and conservatism.
Advisors/Committee Members: Schneider, Susan C., Yaz, Edwin E., Jeong, Chung Seop.
Subjects/Keywords: Controls; LMIs; Nonlinear; Robust; Controls and Control Theory; Non-linear Dynamics
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
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to Zotero / EndNote / Reference
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APA (6th Edition):
Baker, W. (2016). Performance-Robust Dynamic Feedback Control of Lipschitz Nonlinear Systems. (Thesis). Marquette University. Retrieved from https://epublications.marquette.edu/dissertations_mu/678
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Baker, Winston. “Performance-Robust Dynamic Feedback Control of Lipschitz Nonlinear Systems.” 2016. Thesis, Marquette University. Accessed March 01, 2021.
https://epublications.marquette.edu/dissertations_mu/678.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Baker, Winston. “Performance-Robust Dynamic Feedback Control of Lipschitz Nonlinear Systems.” 2016. Web. 01 Mar 2021.
Vancouver:
Baker W. Performance-Robust Dynamic Feedback Control of Lipschitz Nonlinear Systems. [Internet] [Thesis]. Marquette University; 2016. [cited 2021 Mar 01].
Available from: https://epublications.marquette.edu/dissertations_mu/678.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Baker W. Performance-Robust Dynamic Feedback Control of Lipschitz Nonlinear Systems. [Thesis]. Marquette University; 2016. Available from: https://epublications.marquette.edu/dissertations_mu/678
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of New South Wales
17.
Malyavej, Veerachai.
Robust control and state estimation via limited capacity communication networks.
Degree: Electrical Engineering & Telecommunications, 2006, University of New South Wales
URL: http://handle.unsw.edu.au/1959.4/23981
;
https://unsworks.unsw.edu.au/fapi/datastream/unsworks:921/SOURCE02?view=true
► Telecommunication networks become major parts in modern complex control systems recently. They provide many advantages over conventional point-to-point connections, such as the simplification on installation…
(more)
▼ Telecommunication networks become major parts in modern complex control systems recently. They provide many advantages over conventional point-to-point connections, such as the simplification on installation and maintenance with comparatively low cost and the nature requirement of wireless communication in remote control systems. In practice, limited resource networks are shared by multiple controllers, sensors and actuators, and they may need to serve some other information unrelated to control purpose. Consequently, the control system design in networked control systems should be revised by taking communication constraints, for example, finite precision data, time delay and noise in transmission, into account. This thesis studies the robust control and state estimation of uncertain systems, when feedback information is sent via limited capacity communication channels. It focuses on the problem of finite precision data due to the communication constraints. The proposed schemes are based on the robust set-valued state estimation and the optimal control techniques.A state estimation problem of linear uncertain system is studied first. In this problem, we propose an algorithm called coder-decoder for uncertain systems. The coder encodes the observed output into a finite-length codeword and sends it to the decoder that generates the estimated state based on the received codeword. As an illustration, we apply the results in state estimation problem to a precision missile guidance problem using sensor fusion. In this problem, the information obtained from remote sensors is transmitted through limited capacity communication networks to the guided missile. Next, we study a stabilization problem of linear uncertain systems with state feedback. In this problem, the coder-controller scheme is developed to asymptotically stabilize the uncertain systems via limited capacity communication channels. The coder encodes the full state variable into a finite-length codeword and sends it to the controller that drives the system state to the origin. To achieve the asymptotic stability, we use a dynamic quantizer so that quantization noise converges to zero.The results in both state estimation and stabilization problems can handle the problem of finite data rate communication networks in control systems.
Subjects/Keywords: robust control; Estimation theory; Telecommunication
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Malyavej, V. (2006). Robust control and state estimation via limited capacity communication networks. (Doctoral Dissertation). University of New South Wales. Retrieved from http://handle.unsw.edu.au/1959.4/23981 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:921/SOURCE02?view=true
Chicago Manual of Style (16th Edition):
Malyavej, Veerachai. “Robust control and state estimation via limited capacity communication networks.” 2006. Doctoral Dissertation, University of New South Wales. Accessed March 01, 2021.
http://handle.unsw.edu.au/1959.4/23981 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:921/SOURCE02?view=true.
MLA Handbook (7th Edition):
Malyavej, Veerachai. “Robust control and state estimation via limited capacity communication networks.” 2006. Web. 01 Mar 2021.
Vancouver:
Malyavej V. Robust control and state estimation via limited capacity communication networks. [Internet] [Doctoral dissertation]. University of New South Wales; 2006. [cited 2021 Mar 01].
Available from: http://handle.unsw.edu.au/1959.4/23981 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:921/SOURCE02?view=true.
Council of Science Editors:
Malyavej V. Robust control and state estimation via limited capacity communication networks. [Doctoral Dissertation]. University of New South Wales; 2006. Available from: http://handle.unsw.edu.au/1959.4/23981 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:921/SOURCE02?view=true

McMaster University
18.
Kinio, Steven C.
Linear Robust Control in Indirect Deformable Object Manipulation.
Degree: MASc, 2013, McMaster University
URL: http://hdl.handle.net/11375/13024
► Robotic platforms have several characteristics such as speed and precision that make them enticing for use in medical procedures. Companies such as Intuitive Medical…
(more)
▼ Robotic platforms have several characteristics such as speed and precision that make them enticing for use in medical procedures. Companies such as Intuitive Medical and Titan Medical have taken advantage of these features to introduce surgical robots for minimally invasive procedures. Such robots aim to reduce procedure and patient recovery times. Current technology requires platforms to be master-slave manipulators controlled by a surgeon, effectively converting the robot into an expensive surgical tool. Research into the interaction between robotic platforms and deformable objects such as human tissue is necessary in the development of autonomous and semi-autonomous surgical systems. This thesis investigates a class of robust linear controllers based on a worst case performance measure known as the H∞ norm, for the purpose of performing so called Indirect Deformable Object Manipulation (IDOM). This task allows positional regulation of regions of interest in a deformable object without directly interacting with them, enabling tasks such as stabilization of tumors during biopsies or automatic suturing. A complete approach to generating linear H∞ based controllers is presented, from derivation of a plant model to the actual synthesis of the controller. The introduction of model uncertainty requires μ synthesis techniques, which extend H∞ designs to produce highly robust controller solutions. In addition to H∞ and μ synthesis designs, the thesis presents an approach to design an optimal PID controller with gains that minimize the H∞ norm of a weighted plant. The three control approaches are simulated performing set point regulation in {MATLAB}TM's simulink. Simulations included disturbance inputs and noises to test stability and robustness of the approaches. H∞ controllers had the best robust performance of the controllers simulated, although all controllers simulated were stable. The H∞ and PID controllers were validated in an experimental setting, with experiments performed on two different deformable synthetic materials. It was found that H∞ techniques were highly robust and provided good tracking performance for a material that behaved in a relatively elastic manner, but failed to track well when applied to a highly nonlinear rubber compound. PID based control was outperformed by H∞ control in experiments performed on the elastic material, but proved to be superior when faced with the nonlinear material. These experimental findings are discussed and a linear H∞ control design approach is proposed.
Master of Applied Science (MASc)
Advisors/Committee Members: Patriciu, Alexandru, N/A, N/A, Electrical and Computer Engineering.
Subjects/Keywords: Medical Robotics; Robot Control; Deformable Object Manipulation; Robust Control; Controls and Control Theory; Controls and Control Theory
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Kinio, S. C. (2013). Linear Robust Control in Indirect Deformable Object Manipulation. (Masters Thesis). McMaster University. Retrieved from http://hdl.handle.net/11375/13024
Chicago Manual of Style (16th Edition):
Kinio, Steven C. “Linear Robust Control in Indirect Deformable Object Manipulation.” 2013. Masters Thesis, McMaster University. Accessed March 01, 2021.
http://hdl.handle.net/11375/13024.
MLA Handbook (7th Edition):
Kinio, Steven C. “Linear Robust Control in Indirect Deformable Object Manipulation.” 2013. Web. 01 Mar 2021.
Vancouver:
Kinio SC. Linear Robust Control in Indirect Deformable Object Manipulation. [Internet] [Masters thesis]. McMaster University; 2013. [cited 2021 Mar 01].
Available from: http://hdl.handle.net/11375/13024.
Council of Science Editors:
Kinio SC. Linear Robust Control in Indirect Deformable Object Manipulation. [Masters Thesis]. McMaster University; 2013. Available from: http://hdl.handle.net/11375/13024

York University
19.
Liu, Lei.
Cooperative Control of Nonlinear Multi-Agent Systems.
Degree: PhD, Earth & Space Science, 2016, York University
URL: http://hdl.handle.net/10315/32733
► Multi-agent systems have attracted great interest due to their potential applications in a variety of areas. In this dissertation, a nonlinear consensus algorithm is developed…
(more)
▼ Multi-agent systems have attracted great interest due to their potential applications in a variety of areas. In this dissertation, a nonlinear consensus algorithm is developed for networked Euler-Lagrange multi-agent systems. The proposed consensus algorithm guarantees that all agents can reach a common state in the workspace. Meanwhile, the external disturbances and structural uncertainties are fundamentally considered in the controller design. The robustness of the proposed consensus algorithm is then demonstrated in the stability analysis. Furthermore, experiments are conducted to validate the effectiveness of the proposed consensus algorithm.
Next, a distributed leader-follower formation tracking controller is developed for networked nonlinear multi-agent systems. The dynamics of each agent are modeled by Euler-Lagrange equations, and all agents are guaranteed to track a desired time-varying trajectory in the presence of noise. The fault diagnosis strategy of the nonlinear multi-agent system is also investigated with the help of differential geometry tools. The effectiveness of the proposed controller is verified through simulations.
To further extend the application area of the multi-agent technique, a distributed
robust controller is then developed for networked Lipschitz nonlinear multi-agent systems. With the appearance of system uncertainties and external disturbances, a sampled-data feedback
control protocol is carried out through the Lyapunov functional approach. The effectiveness of the proposed controller is verified by numerical simulations. Other than the robustness and sampled-data information exchange, this dissertation is also concerned with the event-triggered consensus problem for the Lipschitz nonlinear multi-agent systems. Furthermore, the sufficient condition for the stochastic stabilization of the networked
control system is proposed based on the Lyapunov functional method. Finally, simulation is conducted to demonstrate the effectiveness of the proposed
control algorithm.
In this dissertation, the cooperative
control of networked Euler-Lagrange systems and networked Lipschitz systems is investigated essentially with the assistance of nonlinear
control theory and diverse controller design techniques. The main objective of this work is to propose realizable
control algorithms for nonlinear multi-agent systems.
Advisors/Committee Members: Shan, Jinjun (advisor).
Subjects/Keywords: Mathematics; Control theory; Consensus; Cooperative control; Robust control; Nonlinear control; Synchronization; Multi-agent systems; Sampled-data control; Fault diagnosis
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Liu, L. (2016). Cooperative Control of Nonlinear Multi-Agent Systems. (Doctoral Dissertation). York University. Retrieved from http://hdl.handle.net/10315/32733
Chicago Manual of Style (16th Edition):
Liu, Lei. “Cooperative Control of Nonlinear Multi-Agent Systems.” 2016. Doctoral Dissertation, York University. Accessed March 01, 2021.
http://hdl.handle.net/10315/32733.
MLA Handbook (7th Edition):
Liu, Lei. “Cooperative Control of Nonlinear Multi-Agent Systems.” 2016. Web. 01 Mar 2021.
Vancouver:
Liu L. Cooperative Control of Nonlinear Multi-Agent Systems. [Internet] [Doctoral dissertation]. York University; 2016. [cited 2021 Mar 01].
Available from: http://hdl.handle.net/10315/32733.
Council of Science Editors:
Liu L. Cooperative Control of Nonlinear Multi-Agent Systems. [Doctoral Dissertation]. York University; 2016. Available from: http://hdl.handle.net/10315/32733

Rochester Institute of Technology
20.
Macksamie, Kevin.
Optimal economic planning and control for the management of ecosystems.
Degree: Computer Engineering, 2011, Rochester Institute of Technology
URL: https://scholarworks.rit.edu/theses/3120
► In recent years the interest on sustainable systems has increased significantly. Among the many interested problems, creating and restoring sustainable ecosystems is a challenging and…
(more)
▼ In recent years the interest on sustainable systems has increased
significantly. Among the many interested problems, creating and restoring
sustainable ecosystems is a challenging and complex problem. One of the
fundamental problems within this area is the imbalance between species that
have a predator-prey relationship. Solutions involving management have become
an integral player in many environments. Management systems typically use ad
hoc methods to develop harvesting policies to
control the populations of
species to desired numbers. In order to amalgamate intelligence and structure,
ecological systems require a diverse research effort from three primary fields:
ecology, economics, and
control theory.
In this thesis, all three primary fields aforementioned are researched to
develop a theoretical framework that includes an optimal trajectory planning
system that exploits an ecosystem to maximize profits for the supporting
community, and a
robust control system design to track the optimal trajectories
subjected to exogenous disturbances. Population ecology is used to select a
model that identifies the key characteristics a management system needs to
understand the behavior of the natural environment. A bioeconomic model is
developed to relate the species populations to revenue. The nonlinear ecosystem
is transformed into a linear parameter-varying (LPV) system that is then
controlled using hinf synthesis and the gain scheduling methodology.
The consequences of the results in this thesis are that optimal trajectories of
an ecosystem can be obtained by constructing and solving a nonlinear
programming problem (NLP), and the LPV based gain scheduling approach produces
a
robust controller that rejects disturbances and advises quality
control
policies to the manager an ecosystem. The LPV controller achieves comparable
profits with satisfactory tracking performance while minding the induced costs
of its high frequency output. Implications of constraining the
control effort
when designing for robustness are observed. Overall, the theoretical framework
provides a solid foundation for future research on the understanding and
improvement of ecosystem management.
Advisors/Committee Members: Cockburn, Juan.
Subjects/Keywords: Bioeconomics; H-infinity synthesis via LMIs; Linear parameter-varying control; Mathematical bioeconomics; Optimal control theory; Robust control theory
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Macksamie, K. (2011). Optimal economic planning and control for the management of ecosystems. (Thesis). Rochester Institute of Technology. Retrieved from https://scholarworks.rit.edu/theses/3120
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Macksamie, Kevin. “Optimal economic planning and control for the management of ecosystems.” 2011. Thesis, Rochester Institute of Technology. Accessed March 01, 2021.
https://scholarworks.rit.edu/theses/3120.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Macksamie, Kevin. “Optimal economic planning and control for the management of ecosystems.” 2011. Web. 01 Mar 2021.
Vancouver:
Macksamie K. Optimal economic planning and control for the management of ecosystems. [Internet] [Thesis]. Rochester Institute of Technology; 2011. [cited 2021 Mar 01].
Available from: https://scholarworks.rit.edu/theses/3120.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Macksamie K. Optimal economic planning and control for the management of ecosystems. [Thesis]. Rochester Institute of Technology; 2011. Available from: https://scholarworks.rit.edu/theses/3120
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California – Santa Cruz
21.
Chai, Jun.
Analysis, Design of Control Algorithms and Applications for Forward Invariance of Hybrid Systems.
Degree: Computer Engineering (Robotics and Control), 2018, University of California – Santa Cruz
URL: http://www.escholarship.org/uc/item/9j86583v
► This dissertation focuses on developing tools to study the robust forward invariance of sets for systems with unknown disturbances and hybrid dynamics. In particular, the…
(more)
▼ This dissertation focuses on developing tools to study the robust forward invariance of sets for systems with unknown disturbances and hybrid dynamics. In particular, the notions of robust forward invariance properties are proposed for hybrid dynamical systems modeled by differential and difference inclusions with state-depending conditions enabling flows and jumps. A set is said to enjoy robust forward invariance for a system when its solutions start within the set always stay in the set regardless of disturbances. These proposed notions allow for a diverse type of solutions (with and without disturbances), including solutions that have persistent flow and jumps, that are Zeno, and that stop to exist after finite amount of (hybrid) time. Moreover, sufficient conditions for sets to enjoy such properties are presented. The proposed conditions involve the system data and the set to be rendered robust forward invariant.Furthermore, such conditions are exploited to derive conditions guaranteeing that sublevel sets of Lyapunov-like functions are robust forward invariant and, in turn, inspired a constructive way to design invariance-based control algorithms for a class of hybrid systems with control inputs and disturbances. More precisely, when a hybrid system have a Lyapunov-like function V satisfying a set of specific conditions, existence of feedback laws that render sublevel sets of V robustly forward invariant for the closed-loop hybrid systems are presented. In addition, two selection theorems are proposed to design invariance-based controllers for the class of hybrid systems considered.Applications and academic examples are given to illustrate the results. In particular, the presented forward invariance analysis and design tools are applied to the design and validate of hybrid controllers for power conversion systems, specifically, a single-phase DC/AC inverter and a DC/DC boost converter. Moreover, results are applied to the estimation of weakly forward invariant sets, which is an invariance property of interest when employing invariance principles to study convergence properties of solutions. Finally, the developed algorithms are tested on the control of a constrained bouncing ball system.
Subjects/Keywords: Robotics; Engineering; Applied mathematics; Control Lyapunov Functions; Control theory; Feedback control; Forward invariance; Hybrid system; Robust control
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Chai, J. (2018). Analysis, Design of Control Algorithms and Applications for Forward Invariance of Hybrid Systems. (Thesis). University of California – Santa Cruz. Retrieved from http://www.escholarship.org/uc/item/9j86583v
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Chai, Jun. “Analysis, Design of Control Algorithms and Applications for Forward Invariance of Hybrid Systems.” 2018. Thesis, University of California – Santa Cruz. Accessed March 01, 2021.
http://www.escholarship.org/uc/item/9j86583v.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Chai, Jun. “Analysis, Design of Control Algorithms and Applications for Forward Invariance of Hybrid Systems.” 2018. Web. 01 Mar 2021.
Vancouver:
Chai J. Analysis, Design of Control Algorithms and Applications for Forward Invariance of Hybrid Systems. [Internet] [Thesis]. University of California – Santa Cruz; 2018. [cited 2021 Mar 01].
Available from: http://www.escholarship.org/uc/item/9j86583v.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Chai J. Analysis, Design of Control Algorithms and Applications for Forward Invariance of Hybrid Systems. [Thesis]. University of California – Santa Cruz; 2018. Available from: http://www.escholarship.org/uc/item/9j86583v
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Virginia Tech
23.
Zhao, Junbo.
A Robust Dynamic State and Parameter Estimation Framework for Smart Grid Monitoring and Control.
Degree: PhD, Electrical Engineering, 2018, Virginia Tech
URL: http://hdl.handle.net/10919/83423
► The enhancement of the reliability, security, and resiliency of electric power systems depends on the availability of fast, accurate, and robust dynamic state estimators. These…
(more)
▼ The enhancement of the reliability, security, and resiliency of electric power systems depends on the availability of fast, accurate, and
robust dynamic state estimators. These estimators should be
robust to gross errors on the measurements and the model parameter values while providing good state estimates even in the presence of large dynamical system model uncertainties and non-Gaussian thick-tailed process and observation noises. It turns out that the current Kalman filter-based dynamic state estimators given in the literature suffer from several important shortcomings, precluding them from being adopted by power utilities for practical applications. To be specific, they cannot handle (i) dynamic model uncertainty and parameter errors; (ii) non-Gaussian process and observation noise of the system nonlinear dynamic models; (iii) three types of outliers; and (iv) all types of cyber attacks. The three types of outliers, including observation, innovation, and structural outliers are caused by either an unreliable dynamical model or real-time synchrophasor measurements with data quality issues, which are commonly seen in the power system.
To address these challenges, we have pioneered a general theoretical framework that advances both
robust statistics and
robust control theory for
robust dynamic state and parameter estimation of a cyber-physical system. Specifically, the generalized maximum-likelihood-type (GM)-estimator, the unscented Kalman filter (UKF), and the H-infinity filter are integrated into a unified framework to yield various centralized and decentralized
robust dynamic state estimators. These new estimators include the GM-iterated extended Kalman filter (GM-IEKF), the GM-UKF, the H-infinity UKF and the
robust H-infinity UKF. The GM-IEKF is able to handle observation and innovation outliers but its statistical efficiency is low in the presence of non-Gaussian system process and measurement noise. The GM-UKF addresses this issue and achieves a high statistical efficiency under a broad range of non-Gaussian process and observation noise while maintaining the robustness to observation and innovation outliers. A reformulation of the GM-UKF with multiple hypothesis testing further enables it to handle structural outliers. However, the GM-UKF may yield biased state estimates in presence of large system uncertainties. To this end, the H-infinity UKF that relies on
robust control theory is proposed. It is shown that H-infinity is able to bound the system uncertainties but lacks of robustness to outliers and non-Gaussian noise. Finally, the
robust H-infinity filter framework is proposed that leverages the H-infinity criterion to bound system uncertainties while relying on the robustness of GM-estimator to filter out non-Gaussian noise and suppress outliers. Furthermore, these new
robust estimators are applied for system bus frequency monitoring and
control and synchronous generator model parameter calibration. Case studies of several different IEEE standard systems show the efficiency and robustness of the…
Advisors/Committee Members: Mili, Lamine M. (committeechair), Rahman, Saifur (committee member), Sandu, Adrian (committee member), Wang, Yue J. (committee member), Kekatos, Vasileios (committee member).
Subjects/Keywords: Kalman filter; Robust statistics; Power system state estimation; Dynamic state estimation; Unscented transformation; Robust control theory; Estimation theory; Power system dynamics and control; Outliers; Cyber attacks; Phasor measurement units
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Zhao, J. (2018). A Robust Dynamic State and Parameter Estimation Framework for Smart Grid Monitoring and Control. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/83423
Chicago Manual of Style (16th Edition):
Zhao, Junbo. “A Robust Dynamic State and Parameter Estimation Framework for Smart Grid Monitoring and Control.” 2018. Doctoral Dissertation, Virginia Tech. Accessed March 01, 2021.
http://hdl.handle.net/10919/83423.
MLA Handbook (7th Edition):
Zhao, Junbo. “A Robust Dynamic State and Parameter Estimation Framework for Smart Grid Monitoring and Control.” 2018. Web. 01 Mar 2021.
Vancouver:
Zhao J. A Robust Dynamic State and Parameter Estimation Framework for Smart Grid Monitoring and Control. [Internet] [Doctoral dissertation]. Virginia Tech; 2018. [cited 2021 Mar 01].
Available from: http://hdl.handle.net/10919/83423.
Council of Science Editors:
Zhao J. A Robust Dynamic State and Parameter Estimation Framework for Smart Grid Monitoring and Control. [Doctoral Dissertation]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/83423

Washington University in St. Louis
24.
Ampleman, Stephen.
Robust Control of Burst Suppression Amid Physical and Neurological Uncertainty.
Degree: MS, Electrical & Systems Engineering, 2020, Washington University in St. Louis
URL: https://openscholarship.wustl.edu/eng_etds/528
► Burst suppression is a clinical term describing a phenomenon in which the electroencephalogram (EEG) of a sedated patient produces behavior that switches between higher frequency…
(more)
▼ Burst suppression is a clinical term describing a phenomenon in which the electroencephalogram (EEG) of a sedated patient produces behavior that switches between higher frequency and amplitude bursting to lower frequency and lower amplitude suppression. This phenomenon can be observed during general anesthesia, hypothermia, or in an otherwise induced coma state. In a clinical setting, this phenomenon is typically induced by sedation from a drug such as propofol (2,6-diisopropylphenol). The level of sedation can be quantified by something called the burst suppression ratio (BSR), which is defined as the amount of time that a patient’s EEG is in a suppressed state over the amount of time measured. One can vary this ratio by either increasing or decreasing the propofol infusion rate that the patient is given to bring them to a deeper or lighter state of sedation. By measuring the EEG data, one can form a closed loop feedback system where the EEG data is monitored for signs of burst suppression and the propofol is increased or decreased accordingly. Therefore, it becomes desirable to create models of this closed loop system to simulate the kind of behavior that would be expected from a clinical setting such as the one described. Many methods and experimental paradigms have been developed to address this problem including development of pharmacokinetic (PK) models that describe the dynamics of drug infusion in the body as well as signal processing methods for computing the burst suppression estimation such as the burst suppression probability. Some of these paradigms have been tested in rodent experiments, though human studies remain elusive. In this regard, simulations and detailed physiological modeling and
control design can play a key role. This thesis seeks to add on the rich body of work that has been done thus far by incorporating a Schnider PK model with the Wilson-Cowan neural mass model to form a closed loop model which we can use as a basis for more detailed analysis which includes real-time burst suppression estimation as well as uncertainty modeling in both the patient’s physical characteristics (such as weight, height, age and gender) in addition to neurological phenomena such as the recovery and consumption rates of neurons during burst suppression behavior. By creating a conversion from the physiological parameters that describe the PK models to the dimensionless and more abstract parameters which guide the Wilson-Cowan equations, and implementing an actuator and burst suppression ratio estimation algorithm, we have effectively modeled the clinical setting with which the BSR is sought to be controlled. Thus, in this study we wished to show that with PID
control, one could
control this model at a nominal condition (i.e., the patient and neurological parameters which the gains were designed for) as well as at various uncertainty conditions that include both physical and neurological uncertainty, as described above. Using the Zeigler-Nichols tuning method, we were able to design gains to sufficiently
control…
Advisors/Committee Members: Dr. ShiNung Ching, Electrical and Systems Engineering, Dr. James Feher, Dr. Sankalp Bhan.
Subjects/Keywords: PID control; robust control; burst suppression; electroencephalogram; Controls and Control Theory; Electrical and Computer Engineering; Signal Processing
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Ampleman, S. (2020). Robust Control of Burst Suppression Amid Physical and Neurological Uncertainty. (Thesis). Washington University in St. Louis. Retrieved from https://openscholarship.wustl.edu/eng_etds/528
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Ampleman, Stephen. “Robust Control of Burst Suppression Amid Physical and Neurological Uncertainty.” 2020. Thesis, Washington University in St. Louis. Accessed March 01, 2021.
https://openscholarship.wustl.edu/eng_etds/528.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Ampleman, Stephen. “Robust Control of Burst Suppression Amid Physical and Neurological Uncertainty.” 2020. Web. 01 Mar 2021.
Vancouver:
Ampleman S. Robust Control of Burst Suppression Amid Physical and Neurological Uncertainty. [Internet] [Thesis]. Washington University in St. Louis; 2020. [cited 2021 Mar 01].
Available from: https://openscholarship.wustl.edu/eng_etds/528.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Ampleman S. Robust Control of Burst Suppression Amid Physical and Neurological Uncertainty. [Thesis]. Washington University in St. Louis; 2020. Available from: https://openscholarship.wustl.edu/eng_etds/528
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Northeastern University
25.
Ghadami, Rasoul.
Distributed control of multi-agent systems with switching topology, delay, and link failure.
Degree: PhD, Department of Electrical and Computer Engineering, 2012, Northeastern University
URL: http://hdl.handle.net/2047/d20002868
► From ecology and evolutionary biology to social sciences, and from systems and control theory to aerospace and wireless sensor networks, researchers have been trying to…
(more)
▼ From ecology and evolutionary biology to social sciences, and from systems and control theory to aerospace and wireless sensor networks, researchers have been trying to develop an understanding of how a group of moving objects such as flocks of birds, schools of fish and crowds of people can perform collective tasks such as reaching a consensus or moving in a formation without centralized coordination. Researchers in the fields of robotics and control theory have also become interested in cooperative control of multi-agent systems such as a group of unmanned vehicles due to its vast variety of applications. This dissertation focuses on the study of distributed control of interconnected multi-agent systems. Research is conducted towards designing and analyzing distributed control algorithms for a fixed interconnection pattern as well as in the presence of switching network topology, interconnection delays between agents, and random link failure.; A decomposition approach is considered to design distributed controller for coupled dynamic systems for both fixed and switching network topology. A special similarity transformation constructed from interconnection pattern matrix along with the result of extended linear matrix inequality (LMI) formulation for continuous-time systems makes it possible to derive explicit expression for computing the parameters of distributed controller for both static state feedback and dynamic output feedback cases. The distributed controllers are designed under H2, H∞, and α-stability performances.; In the presence of interconnection delays, a distributed control design methodology is proposed, which realizes neighbor-based local controller for each agent. By transforming the original system into a decomposed structure and taking advantage of Lyapunov-Krasovskii functional, LMI based conditions are derived to design both static state feedback and dynamic output feedback controllers.; Moreover, multi-agent dynamic systems with random link failure are modeled by a linear discrete-time system with multiplicative random coefficients. A distributed control algorithm which uses only local and available neighboring information is proposed to stabilize the system in mean-square sense. A sufficient condition for designing stabilizing distributed controller is provided that ensures prescribed disturbance attenuation in L2 gain sense. The design is carried out using linear matrix inequalities.; The problem of designing decentralized PI-observer based controllers is also considered in the convex optimization context for interconnected systems with linear subsystems and nonlinear time-varying interconnections. When the interconnections are linear, distributed PI-observer is introduced for disturbance estimation and fault detection.; Finally, distributed controller based on linear quadratic regulator (LQR) is proposed for identical decoupled linear systems with a common objective. Two types of distributed dynamic output feedback algorithms are developed with local observers and distributed observers. The…
Subjects/Keywords: Distributed Control; Linear Matrix Inequality; Multi-Agent Systems; Robust Control; Controls and Control Theory; Electrical and Computer Engineering
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Chicago ·
MLA ·
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CSE |
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APA (6th Edition):
Ghadami, R. (2012). Distributed control of multi-agent systems with switching topology, delay, and link failure. (Doctoral Dissertation). Northeastern University. Retrieved from http://hdl.handle.net/2047/d20002868
Chicago Manual of Style (16th Edition):
Ghadami, Rasoul. “Distributed control of multi-agent systems with switching topology, delay, and link failure.” 2012. Doctoral Dissertation, Northeastern University. Accessed March 01, 2021.
http://hdl.handle.net/2047/d20002868.
MLA Handbook (7th Edition):
Ghadami, Rasoul. “Distributed control of multi-agent systems with switching topology, delay, and link failure.” 2012. Web. 01 Mar 2021.
Vancouver:
Ghadami R. Distributed control of multi-agent systems with switching topology, delay, and link failure. [Internet] [Doctoral dissertation]. Northeastern University; 2012. [cited 2021 Mar 01].
Available from: http://hdl.handle.net/2047/d20002868.
Council of Science Editors:
Ghadami R. Distributed control of multi-agent systems with switching topology, delay, and link failure. [Doctoral Dissertation]. Northeastern University; 2012. Available from: http://hdl.handle.net/2047/d20002868

Northeastern University
26.
Nazari, Sam.
Robust stability analysis for a class of extended linearization systems.
Degree: MS, Department of Electrical and Computer Engineering, 2011, Northeastern University
URL: http://hdl.handle.net/2047/D20002704
► We consider analysis of nonlinear systems that can be brought into a state dependent representation known as extended linearization. Under this formulation, conventional linear analysis…
(more)
▼ We consider analysis of nonlinear systems that can be brought into a state dependent representation known as extended linearization. Under this formulation, conventional linear analysis techniques may be adapted to study the stability, optimality, and robustness properties of nonlinear systems. When subject to system uncertainty, estimating the radius of stability for systems under extended linearizationis difficult since the closed-loop system equations are not available explicitly. A method for obtaining the upper bound for the radius of stability in this class of systems is proposed. It is shown that the stability radius around a suitable domain can be obtained by computing the largest singular value of an overvalued matrix with special properties.; Additionally, a property of extended linearization is that it relies on a non-unique factorization of the system dynamics to bring the nonlinear system into a psuedo-linear form referred to as the State Dependent Coefficient (SDC) parametrization. Under system uncertainty, each SDC parametrization will produce its own radius ofstability in a region of interest in the state space. We propose a method to obtainthe SDC parametrization which results in the maximum radius of stability for the original nonlinear system in the region of interest. It is shown that the problem of obtaining the maximum radius of stability from a hyperplane of SDC parametrizations can be reduced to constrained minimization of the spectral norm of a comparison system.
Subjects/Keywords: Nonlinear Control; Parameteric Uncertainty; Robust Control; SDRE; Controls and Control Theory; Electrical and Computer Engineering; Engineering
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Nazari, S. (2011). Robust stability analysis for a class of extended linearization systems. (Masters Thesis). Northeastern University. Retrieved from http://hdl.handle.net/2047/D20002704
Chicago Manual of Style (16th Edition):
Nazari, Sam. “Robust stability analysis for a class of extended linearization systems.” 2011. Masters Thesis, Northeastern University. Accessed March 01, 2021.
http://hdl.handle.net/2047/D20002704.
MLA Handbook (7th Edition):
Nazari, Sam. “Robust stability analysis for a class of extended linearization systems.” 2011. Web. 01 Mar 2021.
Vancouver:
Nazari S. Robust stability analysis for a class of extended linearization systems. [Internet] [Masters thesis]. Northeastern University; 2011. [cited 2021 Mar 01].
Available from: http://hdl.handle.net/2047/D20002704.
Council of Science Editors:
Nazari S. Robust stability analysis for a class of extended linearization systems. [Masters Thesis]. Northeastern University; 2011. Available from: http://hdl.handle.net/2047/D20002704
27.
Michailidis, Michail G.
Nonlinear Controller Design for UAVs with Time-Varying Aerodynamic Uncertainties.
Degree: PhD, Engineering, 2019, U of Denver
URL: https://digitalcommons.du.edu/etd/1553
► Unmanned Aerial Vehicles (UAVs) are here and they are here to stay. Unmanned Aviation has expanded significantly in recent years and research and development…
(more)
▼ Unmanned Aerial Vehicles (UAVs) are here and they are here to stay. Unmanned Aviation has expanded significantly in recent years and research and development in the field of navigation and
control have advanced beyond expectations. UAVs are currently being used for defense programs around the world but the range of applications is expected to grow in the near future, with civilian applications such as environmental and aerial monitoring, aerial surveillance and homeland security being some representative examples. Conventional and commercially available small-scale UAVs have limited utilization and applicability to executing specific short-duration missions because of limitations in size, payload, power supply and endurance. This fact has already marked the dawn of a new era of more powerful and versatile UAVs (e.g. morphing aircraft), able to perform a variety of missions. This dissertation presents a novel, comprehensive, step-by-step, nonlinear controller design framework for new generation, non-conventional UAVs with time-varying aerodynamic characteristics during flight. Controller design for such UAVs is a challenging task mainly due to uncertain aerodynamic parameters in the UAV mathematical model. This challenge is tackled by using and implementing μ-analysis and additive uncertainty weighting functions. The technique described herein can be generalized and applied to the class of non-conventional UAVs, seeking to address uncertainty challenges regarding the aircraft's aerodynamic coefficients.
Advisors/Committee Members: Kimon P. Valavanis, Ph.D., Matthew J. Rutherford, Ph.D..
Subjects/Keywords: Flight control; Model uncertainty; Robust control; Unmanned aerial vehicles; Controls and Control Theory; Electrical and Computer Engineering; Engineering
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Michailidis, M. G. (2019). Nonlinear Controller Design for UAVs with Time-Varying Aerodynamic Uncertainties. (Doctoral Dissertation). U of Denver. Retrieved from https://digitalcommons.du.edu/etd/1553
Chicago Manual of Style (16th Edition):
Michailidis, Michail G. “Nonlinear Controller Design for UAVs with Time-Varying Aerodynamic Uncertainties.” 2019. Doctoral Dissertation, U of Denver. Accessed March 01, 2021.
https://digitalcommons.du.edu/etd/1553.
MLA Handbook (7th Edition):
Michailidis, Michail G. “Nonlinear Controller Design for UAVs with Time-Varying Aerodynamic Uncertainties.” 2019. Web. 01 Mar 2021.
Vancouver:
Michailidis MG. Nonlinear Controller Design for UAVs with Time-Varying Aerodynamic Uncertainties. [Internet] [Doctoral dissertation]. U of Denver; 2019. [cited 2021 Mar 01].
Available from: https://digitalcommons.du.edu/etd/1553.
Council of Science Editors:
Michailidis MG. Nonlinear Controller Design for UAVs with Time-Varying Aerodynamic Uncertainties. [Doctoral Dissertation]. U of Denver; 2019. Available from: https://digitalcommons.du.edu/etd/1553

Michigan State University
28.
Freidovich, Leonid B.
Logic-based switching control of nonlinear systems using high-gain observers.
Degree: PhD, Department of Mathematics, 2005, Michigan State University
URL: http://etd.lib.msu.edu/islandora/object/etd:33741
Subjects/Keywords: Robust control; Feedback control systems; Nonlinear control theory
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Freidovich, L. B. (2005). Logic-based switching control of nonlinear systems using high-gain observers. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:33741
Chicago Manual of Style (16th Edition):
Freidovich, Leonid B. “Logic-based switching control of nonlinear systems using high-gain observers.” 2005. Doctoral Dissertation, Michigan State University. Accessed March 01, 2021.
http://etd.lib.msu.edu/islandora/object/etd:33741.
MLA Handbook (7th Edition):
Freidovich, Leonid B. “Logic-based switching control of nonlinear systems using high-gain observers.” 2005. Web. 01 Mar 2021.
Vancouver:
Freidovich LB. Logic-based switching control of nonlinear systems using high-gain observers. [Internet] [Doctoral dissertation]. Michigan State University; 2005. [cited 2021 Mar 01].
Available from: http://etd.lib.msu.edu/islandora/object/etd:33741.
Council of Science Editors:
Freidovich LB. Logic-based switching control of nonlinear systems using high-gain observers. [Doctoral Dissertation]. Michigan State University; 2005. Available from: http://etd.lib.msu.edu/islandora/object/etd:33741

Michigan State University
29.
Seshagiri, Sridhar.
Robust output regulation of minimum phase nonlinear systems using conditional servocompensators.
Degree: PhD, Department of Electrical and Computer Engineering, 2003, Michigan State University
URL: http://etd.lib.msu.edu/islandora/object/etd:33058
Subjects/Keywords: Robust control; Feedback control systems; Nonlinear control theory
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Seshagiri, S. (2003). Robust output regulation of minimum phase nonlinear systems using conditional servocompensators. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:33058
Chicago Manual of Style (16th Edition):
Seshagiri, Sridhar. “Robust output regulation of minimum phase nonlinear systems using conditional servocompensators.” 2003. Doctoral Dissertation, Michigan State University. Accessed March 01, 2021.
http://etd.lib.msu.edu/islandora/object/etd:33058.
MLA Handbook (7th Edition):
Seshagiri, Sridhar. “Robust output regulation of minimum phase nonlinear systems using conditional servocompensators.” 2003. Web. 01 Mar 2021.
Vancouver:
Seshagiri S. Robust output regulation of minimum phase nonlinear systems using conditional servocompensators. [Internet] [Doctoral dissertation]. Michigan State University; 2003. [cited 2021 Mar 01].
Available from: http://etd.lib.msu.edu/islandora/object/etd:33058.
Council of Science Editors:
Seshagiri S. Robust output regulation of minimum phase nonlinear systems using conditional servocompensators. [Doctoral Dissertation]. Michigan State University; 2003. Available from: http://etd.lib.msu.edu/islandora/object/etd:33058

Michigan Technological University
30.
Amini, Mohammad Reza.
EASILY VERIFIABLE CONTROLLER DESIGN WITH APPLICATION TO AUTOMOTIVE POWERTRAINS.
Degree: PhD, Department of Mechanical Engineering-Engineering Mechanics, 2017, Michigan Technological University
URL: https://digitalcommons.mtu.edu/etdr/403
► Bridging the gap between designed and implemented model-based controllers is a major challenge in the design cycle of industrial controllers. This gap is mainly…
(more)
▼ Bridging the gap between designed and implemented model-based controllers is a major challenge in the design cycle of industrial controllers. This gap is mainly created due to (i) digital implementation of controller software that introduces sampling and quantization imprecisions via analog-to-digital conversion (ADC), and (ii) uncertainties in the modeled plant’s dynamics, which directly propagate through the controller structure. The failure to identify and handle these implementation and model uncertainties results in undesirable controller performance and costly iterative loops for completing the controller verification and validation (V&V) process.
This PhD dissertation develops a novel theoretical framework to design controllers that are
robust to implementation imprecision and uncertainties within the models. The proposed
control framework is generic and applicable to a wide range of nonlinear
control systems. The final outcome from this study is an
uncertainty/imprecisions adaptive, easily verifiable, and robust control theory framework that minimizes V&V iterations in the design of complex nonlinear
control systems.
The concept of sliding mode controls (SMC) is used in this study as the baseline to construct an
easily verifiable model-based controller design framework. SMC is a
robust and computationally efficient controller design technique for highly nonlinear systems, in the presence of model and external uncertainties. The SMC structure allows for further modification to improve the controller robustness against implementation imprecisions, and compensate for the uncertainties within the plant model.
First, the conventional continuous-time SMC design is improved by: (i) developing a reduced-order controller based on a novel model order reduction technique. The reduced order SMC shows better performance, since it uses a balanced realization form of the plant model and reduces the destructive internal interaction among different states of the system. (ii) developing an uncertainty-adaptive SMC with improved robustness against implementation imprecisions. Second, the continuous-time SMC design is converted to a discrete-time SMC (DSMC). The baseline first order DSMC structure is improved by: (i) inclusion of the ADC imprecisions knowledge via a generic sampling and quantization uncertainty prediction mechanism which enables higher robustness against implementation imprecisions, (ii) deriving the adaptation laws via a Lyapunov stability analysis to overcome uncertainties within the plant model, and (iii) developing a second order adaptive DSMC with predicted ADC imprecisions, which provides faster and more
robust performance under modeling and implementation imprecisions, in comparison with the first order DSMC.
The developed
control theories from this PhD dissertation have been evaluated in real-time for two automotive powertrain case studies, including highly nonlinear combustion engine, and linear DC motor
control problems. Moreover, the DSMC with…
Advisors/Committee Members: Mahdi Shahbakhti.
Subjects/Keywords: Powertrain Control; Sliding Mode Control; Adaptive Control; Robust Control; combustion engines; emission control; Automotive Engineering; Controls and Control Theory; Dynamics and Dynamical Systems
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Amini, M. R. (2017). EASILY VERIFIABLE CONTROLLER DESIGN WITH APPLICATION TO AUTOMOTIVE POWERTRAINS. (Doctoral Dissertation). Michigan Technological University. Retrieved from https://digitalcommons.mtu.edu/etdr/403
Chicago Manual of Style (16th Edition):
Amini, Mohammad Reza. “EASILY VERIFIABLE CONTROLLER DESIGN WITH APPLICATION TO AUTOMOTIVE POWERTRAINS.” 2017. Doctoral Dissertation, Michigan Technological University. Accessed March 01, 2021.
https://digitalcommons.mtu.edu/etdr/403.
MLA Handbook (7th Edition):
Amini, Mohammad Reza. “EASILY VERIFIABLE CONTROLLER DESIGN WITH APPLICATION TO AUTOMOTIVE POWERTRAINS.” 2017. Web. 01 Mar 2021.
Vancouver:
Amini MR. EASILY VERIFIABLE CONTROLLER DESIGN WITH APPLICATION TO AUTOMOTIVE POWERTRAINS. [Internet] [Doctoral dissertation]. Michigan Technological University; 2017. [cited 2021 Mar 01].
Available from: https://digitalcommons.mtu.edu/etdr/403.
Council of Science Editors:
Amini MR. EASILY VERIFIABLE CONTROLLER DESIGN WITH APPLICATION TO AUTOMOTIVE POWERTRAINS. [Doctoral Dissertation]. Michigan Technological University; 2017. Available from: https://digitalcommons.mtu.edu/etdr/403
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