+publisher:"University of Florida" +contributor:("Rao, Anil")

University of Florida

1. Franklin, Adam J. Trajectory Optimization Using Pseudospectral Methods for a Multiple Autonomous Underwater Vehicle Target Tracking Problem.

Degree: MS, Mechanical Engineering - Mechanical and Aerospace Engineering, 2012, University of Florida

URL: https://ufdc.ufl.edu/UFE0044152

► In this work, a method is presented for solving a multiple AUV target tracking problem using pseudospectral methods. The multiple AUV target tracking problem involves… (more)

Subjects/Keywords: Boundary conditions; Collision avoidance; Cost control; Cost efficiency; Cost functions; Equations of motion; Optimal control; Position tracking; Textual collocation; Trajectories; auv – control – optimal – pseudospectral – trajectory

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APA (6^th Edition):

Franklin, A. J. (2012). Trajectory Optimization Using Pseudospectral Methods for a Multiple Autonomous Underwater Vehicle Target Tracking Problem. (Masters Thesis). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0044152

Chicago Manual of Style (16^th Edition):

Franklin, Adam J. “Trajectory Optimization Using Pseudospectral Methods for a Multiple Autonomous Underwater Vehicle Target Tracking Problem.” 2012. Masters Thesis, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0044152.

MLA Handbook (7^th Edition):

Franklin, Adam J. “Trajectory Optimization Using Pseudospectral Methods for a Multiple Autonomous Underwater Vehicle Target Tracking Problem.” 2012. Web. 12 Apr 2021.

Vancouver:

Franklin AJ. Trajectory Optimization Using Pseudospectral Methods for a Multiple Autonomous Underwater Vehicle Target Tracking Problem. [Internet] [Masters thesis]. University of Florida; 2012. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0044152.

Council of Science Editors:

Franklin AJ. Trajectory Optimization Using Pseudospectral Methods for a Multiple Autonomous Underwater Vehicle Target Tracking Problem. [Masters Thesis]. University of Florida; 2012. Available from: https://ufdc.ufl.edu/UFE0044152

University of Florida

2. Agamawi, Yunus M. C++ Framework for Solving Nonlinear Optimal Control Problems.

Degree: PhD, Aerospace Engineering - Mechanical and Aerospace Engineering, 2019, University of Florida

URL: https://ufdc.ufl.edu/UFE0055636

► A C++ framework for solving nonlinear optimal control problems is described. The framework consists of utilizing a class of direct orthogonal collocation methods with sparse… (more)

Subjects/Keywords: derivative-estimation – direct-collocation – mesh-refinement – nonlinear-programming-problem – numerical-methods – optimal-control – software

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APA (6^th Edition):

Agamawi, Y. M. (2019). C++ Framework for Solving Nonlinear Optimal Control Problems. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0055636

Chicago Manual of Style (16^th Edition):

Agamawi, Yunus M. “C++ Framework for Solving Nonlinear Optimal Control Problems.” 2019. Doctoral Dissertation, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0055636.

MLA Handbook (7^th Edition):

Agamawi, Yunus M. “C++ Framework for Solving Nonlinear Optimal Control Problems.” 2019. Web. 12 Apr 2021.

Vancouver:

Agamawi YM. C++ Framework for Solving Nonlinear Optimal Control Problems. [Internet] [Doctoral dissertation]. University of Florida; 2019. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0055636.

Council of Science Editors:

Agamawi YM. C++ Framework for Solving Nonlinear Optimal Control Problems. [Doctoral Dissertation]. University of Florida; 2019. Available from: https://ufdc.ufl.edu/UFE0055636

University of Florida

3. Graham, Kathryn F. Trajectory Optimization of Low-Thrust Orbit Transfers.

Degree: PhD, Aerospace Engineering - Mechanical and Aerospace Engineering, 2015, University of Florida

URL: https://ufdc.ufl.edu/UFE0049591

► Since the world's first artificial satellite, the Sputnik 1, completed its first orbit around the Earth, we have persistently been developing new technology with an… (more)

Subjects/Keywords: Apocenter; Initial guess; Optimal control; Orbitals; Orbits; Periapsis; Semimajor axis; Spacecraft; Textual collocation; Trajectories; low-thrust – orbit-transfers – trajectory-optimization

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APA (6^th Edition):

Graham, K. F. (2015). Trajectory Optimization of Low-Thrust Orbit Transfers. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0049591

Chicago Manual of Style (16^th Edition):

Graham, Kathryn F. “Trajectory Optimization of Low-Thrust Orbit Transfers.” 2015. Doctoral Dissertation, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0049591.

MLA Handbook (7^th Edition):

Graham, Kathryn F. “Trajectory Optimization of Low-Thrust Orbit Transfers.” 2015. Web. 12 Apr 2021.

Vancouver:

Graham KF. Trajectory Optimization of Low-Thrust Orbit Transfers. [Internet] [Doctoral dissertation]. University of Florida; 2015. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0049591.

Council of Science Editors:

Graham KF. Trajectory Optimization of Low-Thrust Orbit Transfers. [Doctoral Dissertation]. University of Florida; 2015. Available from: https://ufdc.ufl.edu/UFE0049591

University of Florida

4. Cannataro, Begum. Graph Coarsening Methods for Karush-Kuhn-Tucker Matrices Arising in Orthogonal Collocation of Optimal Control Problems.

Degree: PhD, Aerospace Engineering - Mechanical and Aerospace Engineering, 2015, University of Florida

URL: https://ufdc.ufl.edu/UFE0049059

► A state-defect constraint pairing graph coarsening method is described for improving computational efficiency during the numerical factorization of large sparse Karush-Kuhn-Tucker matrices that arise from… (more)

▼ A state-defect constraint pairing graph coarsening method is described for improving computational efficiency during the numerical factorization of large sparse Karush-Kuhn-Tucker matrices that arise from the discretization of optimal control problems via a Legendre-Gauss-Radau orthogonal collocation method. The method takes advantage of the particular sparse structure of the Karush-Kuhn-Tucker matrix that arises from the orthogonal collocation method. The state-defect constraint pairing graph coarsening method pairs each component of the state with its corresponding defect constraint and forces paired rows to be adjacent in the reordered Karush-Kuhn-Tucker matrix. Aggregate state-defect constraint pairing results are presented using a wide variety of benchmark optimal control problems where it is found that the proposed state-defect constraint pairing graph coarsening method significantly reduces both the number of delayed pivots and the number of floating point operations and increases the computational efficiency by performing more floating point operations per unit time. It is then shown that the state-defect constraint pairing graph coarsening method is less effective on Karush-Kuhn-Tucker matrices arising from Legendre-Gauss-Radau collocation when the optimal control problem contains state and control equality path constraints because such matrices may have delayed pivots that correspond to both defect and path constraints. An unweighted alternate graph coarsening method that employs maximal matching and a weighted alternate graph coarsening method that employs Hungarian algorithm on a weighting matrix are then used to attempt to further reduce the number of delayed pivots. It is found, however, that these alternate graph coarsening methods provide no further advantage over the state-defect constraint pairing graph coarsening method. ( en ) Advisors/Committee Members: RAO,ANIL (committee chair), CONKLIN,JOHN (committee member), DAVIS,TIMOTHY ALDEN (committee member).

Subjects/Keywords: Factorization; Grid refinement; Jacobians; Lagrangian function; Linear systems; Matrices; Optimal control; Simulations; Term weighting; Textual collocation; coarsening – delayed – kkt – lgr – pivots – sparse

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APA (6^th Edition):

Cannataro, B. (2015). Graph Coarsening Methods for Karush-Kuhn-Tucker Matrices Arising in Orthogonal Collocation of Optimal Control Problems. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0049059

Chicago Manual of Style (16^th Edition):

Cannataro, Begum. “Graph Coarsening Methods for Karush-Kuhn-Tucker Matrices Arising in Orthogonal Collocation of Optimal Control Problems.” 2015. Doctoral Dissertation, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0049059.

MLA Handbook (7^th Edition):

Cannataro, Begum. “Graph Coarsening Methods for Karush-Kuhn-Tucker Matrices Arising in Orthogonal Collocation of Optimal Control Problems.” 2015. Web. 12 Apr 2021.

Vancouver:

Cannataro B. Graph Coarsening Methods for Karush-Kuhn-Tucker Matrices Arising in Orthogonal Collocation of Optimal Control Problems. [Internet] [Doctoral dissertation]. University of Florida; 2015. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0049059.

Council of Science Editors:

Cannataro B. Graph Coarsening Methods for Karush-Kuhn-Tucker Matrices Arising in Orthogonal Collocation of Optimal Control Problems. [Doctoral Dissertation]. University of Florida; 2015. Available from: https://ufdc.ufl.edu/UFE0049059

University of Florida

5. Kelly, Patrick W. Orbital Debris Mitigation Using Solar Sail Trajectory Optimization.

Degree: PhD, Aerospace Engineering - Mechanical and Aerospace Engineering, 2018, University of Florida

URL: https://ufdc.ufl.edu/UFE0053995

► Solar-sailing satellites offer unique propulsive advantages for orbit manipulation and propellant mass requirements. When compared with traditional, propellant-based satellites, solar-sailing spacecraft are not limited by… (more)

Subjects/Keywords: astrodynamics – optimization

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APA (6^th Edition):

Kelly, P. W. (2018). Orbital Debris Mitigation Using Solar Sail Trajectory Optimization. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0053995

Chicago Manual of Style (16^th Edition):

Kelly, Patrick W. “Orbital Debris Mitigation Using Solar Sail Trajectory Optimization.” 2018. Doctoral Dissertation, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0053995.

MLA Handbook (7^th Edition):

Kelly, Patrick W. “Orbital Debris Mitigation Using Solar Sail Trajectory Optimization.” 2018. Web. 12 Apr 2021.

Vancouver:

Kelly PW. Orbital Debris Mitigation Using Solar Sail Trajectory Optimization. [Internet] [Doctoral dissertation]. University of Florida; 2018. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0053995.

Council of Science Editors:

Kelly PW. Orbital Debris Mitigation Using Solar Sail Trajectory Optimization. [Doctoral Dissertation]. University of Florida; 2018. Available from: https://ufdc.ufl.edu/UFE0053995

University of Florida

6. Li, Lingmin. Computational Simulation of Knee Osteoarthritis Development.

Degree: PhD, Mechanical Engineering - Mechanical and Aerospace Engineering, 2014, University of Florida

URL: https://ufdc.ufl.edu/UFE0043664

► Though changes in normal joint motions and loads (e.g., following anterior cruciate ligament injury) contribute to the development of knee osteoarthritis, the precise mechanism by… (more)

Subjects/Keywords: Anterior cruciate ligament; Articular cartilage; Bones; Cartilage; Femur; Kinematics; Knee joint; Knees; Modeling; Simulations; cartilage-adaptation – elastic-foundation-model – finite-element-model – knee-joint – osteoarthritis

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APA (6^th Edition):

Li, L. (2014). Computational Simulation of Knee Osteoarthritis Development. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0043664

Chicago Manual of Style (16^th Edition):

Li, Lingmin. “Computational Simulation of Knee Osteoarthritis Development.” 2014. Doctoral Dissertation, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0043664.

MLA Handbook (7^th Edition):

Li, Lingmin. “Computational Simulation of Knee Osteoarthritis Development.” 2014. Web. 12 Apr 2021.

Vancouver:

Li L. Computational Simulation of Knee Osteoarthritis Development. [Internet] [Doctoral dissertation]. University of Florida; 2014. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0043664.

Council of Science Editors:

Li L. Computational Simulation of Knee Osteoarthritis Development. [Doctoral Dissertation]. University of Florida; 2014. Available from: https://ufdc.ufl.edu/UFE0043664

University of Florida

7. Walter, Jonathan Paul. Emg-Based Muscle Force Estimation.

Degree: PhD, Mechanical Engineering - Mechanical and Aerospace Engineering, 2012, University of Florida

URL: https://ufdc.ufl.edu/UFE0044612

► Excessive contact forces in the medial compartment of the knee during walking are believed to progress articular cartilage damage in osteoarthritis. Abnormally large adduction moments… (more)

▼ Excessive contact forces in the medial compartment of the knee during walking are believed to progress articular cartilage damage in osteoarthritis. Abnormally large adduction moments of the knee from gait analyses have been linked to progression and severity of this disease. The results of the first study presented here indicate that reducing the knee adduction moment does not necessarily guarantee a reduction in corresponding contact forces. Therefore, a more accurate measurement of the loads on the knee, especially the balance between contact and muscle forces, is desired for a subject-specific biomechanical analysis of subjects with neuromusculoskeletal disorders. However, the inability to easily measure muscle forces in vivo, along with the inability to calculate unique muscle forces directly, has greatly hindered achievement of this goal. The use ofelectromyography (EMG) to constrain shapes of muscle excitations has been helpful to produce muscle force estimates, but require EMG-to-force models with unknown model parameters and EMG collection is limited to a subset of leg muscles. The concept of neural synergies is developed here to parameterize the muscle excitations of all muscles based on a small set of time varying neural commands. The second and third studies presented here investigated how the complexity of EMG-to-force models, and the inclusion of EMG tracking or neural synergy parameterization, affect estimates of muscle and contact forces in the leg during walking using optimization methods. The investigations were performed using experimental motion capture,ground reaction, EMG, and knee contact loads collected from a subject implanted with a force-measuring tibial prosthesis. A small trend for better contact force predictions was found with the use of synergies to constrain muscle excitations and also with the removal of EMG tracking. It is believed that EMG-based constraint methods suffer from the difficulties of accurate EMG collection,model parameter uncertainty, and the lack of experimental excitation-magnitude constraints. Further research should be performed to determine how well the complexity of EMG-to-force models affects contact force estimates and to determine the best model parameter calibration techniques for EMG-based muscle force estimations ( en ) Advisors/Committee Members: Fregly, Benjamin J (committee chair), Banks, Scott A (committee member), Rao, Anil (committee member), Conrad, Bryan (committee member).

Subjects/Keywords: Contact loads; Electromyography; Error rates; Gait; Knees; Modeling; Muscles; Parametric models; Signals; Tendons; biomechanics – contact – emg – implant – knee – muscles – optimization – osteoarthritis

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APA (6^th Edition):

Walter, J. P. (2012). Emg-Based Muscle Force Estimation. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0044612

Chicago Manual of Style (16^th Edition):

Walter, Jonathan Paul. “Emg-Based Muscle Force Estimation.” 2012. Doctoral Dissertation, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0044612.

MLA Handbook (7^th Edition):

Walter, Jonathan Paul. “Emg-Based Muscle Force Estimation.” 2012. Web. 12 Apr 2021.

Vancouver:

Walter JP. Emg-Based Muscle Force Estimation. [Internet] [Doctoral dissertation]. University of Florida; 2012. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0044612.

Council of Science Editors:

Walter JP. Emg-Based Muscle Force Estimation. [Doctoral Dissertation]. University of Florida; 2012. Available from: https://ufdc.ufl.edu/UFE0044612

University of Florida

8. Francolin, Camila C. Costate Estimation in Optimal Control Problems Using Orthogonal Collocation at Gaussian Quadrature Points.

Degree: PhD, Aerospace Engineering - Mechanical and Aerospace Engineering, 2013, University of Florida

URL: https://ufdc.ufl.edu/UFE0045808

► Costate estimation is an important step in the numerical solution of optimal control problems as it provides a reliable way of verifying the optimality of… (more)

▼ Costate estimation is an important step in the numerical solution of optimal control problems as it provides a reliable way of verifying the optimality of the approximated solution. In this dissertation the problem of estimating the costate in an optimal control problem using orthogonal collocation at Legendre-Gauss (LG) and Legendre-Gauss-Radau (LGR) points is presented. First, methods are presented for estimating the costate using orthogonal collocation at the LG or LGR points when the dynamic constraints of the optimal control problem are formulated in integral form. Specifically, transformations are derived that relate the Lagrange multipliers of the integral forms of the LG and LGR collocation methods to the costate of the original optimal control problem. These transformations are derived by writing the original continuous-time optimal control problem in integral form. A new continuous-time dual variable called the integral costate is then introduced, where the integral costate is the Lagrange multiplier of the integral dynamic constraint. The first-order optimality conditions of the integral form of the optimal control problem are derived in terms of the integral costate. The integral form of the optimal control problem is then discretized using the integral LG and LGR collocation methods and relationship between the discrete form of the integral costate and the costate of the original differential optimal control problem are developed. It is shown that the LGR integration matrix that relates the differential costate to the integral costate is singular while the corresponding LG integration matrix is full rank. The approach developed in this research then provides a way to estimate the costate of the original optimal control problem using the Lagrange multipliers of the integral form of the LG and LGR collocation methods. Furthermore, the costate estimates presented in this research result in a set of Karuhn-Kush-Tucker conditions of the nonlinear program which are a discrete approximation of the first-order optimality conditions of the continuous-time optimal control problem both in differential and integral forms. The second part of this research focuses on state inequality path constrained optimal control problems. Problems with active state-inequality path constraints are difficult to solve due to the high-index differential-algebraic equations (DAE) that result from the constraint activity. This DAE index fluctuation in the solution domain results in possible discontinuities in the dual variables which are hard to approximate numerically. Due to these discontinuities, previous costate estimates for direct transcription methods using collocation at LG or LGR points resulted in a transformed adjoint system which was not a discrete approximation to the first-order optimality conditions in the presence of state inequality path constraints. In this research a different set of costate estimates are developed which result in a transformed adjoint system that is a discrete approximation of the first-order… Advisors/Committee Members: Rao, Anil (committee chair), Dixon, Warren E (committee member), Lind Jr, Richard C (committee member), Hager, William Ward (committee member).

Subjects/Keywords: Approximation; Cost estimates; Degrees of polynomials; Estimation methods; Matrices; Necessary conditions for optimality; Optimal control; Point estimators; Polynomials; Textual collocation; control – costate – estimation – gaussian – optimal – quaerature

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APA (6^th Edition):

Francolin, C. C. (2013). Costate Estimation in Optimal Control Problems Using Orthogonal Collocation at Gaussian Quadrature Points. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0045808

Chicago Manual of Style (16^th Edition):

Francolin, Camila C. “Costate Estimation in Optimal Control Problems Using Orthogonal Collocation at Gaussian Quadrature Points.” 2013. Doctoral Dissertation, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0045808.

MLA Handbook (7^th Edition):

Francolin, Camila C. “Costate Estimation in Optimal Control Problems Using Orthogonal Collocation at Gaussian Quadrature Points.” 2013. Web. 12 Apr 2021.

Vancouver:

Francolin CC. Costate Estimation in Optimal Control Problems Using Orthogonal Collocation at Gaussian Quadrature Points. [Internet] [Doctoral dissertation]. University of Florida; 2013. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0045808.

Council of Science Editors:

Francolin CC. Costate Estimation in Optimal Control Problems Using Orthogonal Collocation at Gaussian Quadrature Points. [Doctoral Dissertation]. University of Florida; 2013. Available from: https://ufdc.ufl.edu/UFE0045808

University of Florida

9. Fuchs, Zachariah E. Cooperative Control Strategies and Deception in Adversarial Systems.

Degree: PhD, Electrical and Computer Engineering, 2012, University of Florida

URL: https://ufdc.ufl.edu/UFE0044608

► The protection of vulnerable, high-value assets has been a challenge throughout history. These high-value targets may be fixed, mobile, or in the cloud. In any… (more)

▼ The protection of vulnerable, high-value assets has been a challenge throughout history. These high-value targets may be fixed, mobile, or in the cloud. In any case, it is necessary to deploy and effectively utilize defensive assets in an attempt to neutralize an attack if it occurs, or make the prospect of further engagement so unappealing that the attackers stand down and retreat. My research focused on two aspects of applying game theoretic methods to the development of defensive strategies. The first aspect of my research utilized tools from differential game theory to develop cooperative, defensive control strategies against a superior, mobile attacker. It was shown that through cooperation, the defending agents can combine their resources and make engagement more costly to the attacker than if they acted independently. A hierarchical attack-retreat game was then developed that incorporates the concept of player intent. This game demonstrated that it is sometimes optimal for the defending player to cooperate with the attacker in order to encourage retreat. Although cooperation can encourage retreat, cooperating at the wrong time can actually assist attacker in engagement. For this reason, a modified differential game with a value function constraint was developed to prevent the attacker from moving the state of the system to a region where engagement is optimal. The second aspect of my research focused on developing an analytic framework to quantitatively capture and describe concepts of deception. A generic two-player, zero-sum game was developed that incorporated deceptive tactics to corrupt a stochastic sensor network. The stochastic sensor network provides one player an informational advantage over its opponent. Using this framework, an illustrative example was designed and examined to describe a well-known, qualitative principle in the deception field known as the ``Jones' Lemma''. A new sequential variant of the Colonel Blotto game was also developed that included a deterministic sensor network. ( en ) Advisors/Committee Members: Khargonekar, Pramod (committee chair), Arroyo, Amauri A (committee member), Rao, Anil (committee member), Barooah, Prabir (committee member), Schwartz, Eric M (committee member).

Subjects/Keywords: Adjoints; Cost functions; Differential games; Game theory; Linear programming; Mathematical variables; Optimal control; Sensors; Sine function; Trajectories; control – cooperative – deception – game

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APA (6^th Edition):

Fuchs, Z. E. (2012). Cooperative Control Strategies and Deception in Adversarial Systems. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0044608

Chicago Manual of Style (16^th Edition):

Fuchs, Zachariah E. “Cooperative Control Strategies and Deception in Adversarial Systems.” 2012. Doctoral Dissertation, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0044608.

MLA Handbook (7^th Edition):

Fuchs, Zachariah E. “Cooperative Control Strategies and Deception in Adversarial Systems.” 2012. Web. 12 Apr 2021.

Vancouver:

Fuchs ZE. Cooperative Control Strategies and Deception in Adversarial Systems. [Internet] [Doctoral dissertation]. University of Florida; 2012. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0044608.

Council of Science Editors:

Fuchs ZE. Cooperative Control Strategies and Deception in Adversarial Systems. [Doctoral Dissertation]. University of Florida; 2012. Available from: https://ufdc.ufl.edu/UFE0044608

University of Florida

10. Goyal, Siddharth. Modeling and Control Algorithms to Improve Energy Efficiency in Buildings.

Degree: PhD, Mechanical Engineering - Mechanical and Aerospace Engineering, 2013, University of Florida

URL: https://ufdc.ufl.edu/UFE0045729

► In this dissertation, we address the problem of how to improve energy efficiency of buildings while maintaining a comfortable and healthy indoor climate with minimum… (more)

▼ In this dissertation, we address the problem of how to improve energy efficiency of buildings while maintaining a comfortable and healthy indoor climate with minimum cost; Our primary focus is on commercial buildings with VAV (variable-air-volume)-based HVAC (heating, ventilation, and air-conditioning) systems. We believe that a cost effective solution to this problem is to update the existing control logics that operate the HVAC system with an improved control algorithm. Going forward with the approach of updating the control algorithm leads to a list of questions: 1. What type of improved control algorithm should be chosen? - How the choice of a controller effects energy consumption and indoor climate? - What are the computation and practical requirements to implement the controller? 2. What are the key control inputs that should be varied by the controller? 3. What type of information is required by the control algorithm? - Does the controller require a model of building dynamics? - What are the sensors required by the controller, and how they effect savings? One option is to design a controller that requires the maximum amount of information, varies all the control inputs, and uses advanced computationally-expensive optimization methods. It is possible that such a controller may result in high savings, but the effort and cost required to design and implement such a controller may also be drastically high. Our goal is to design an appropriate controller that not only results in high savings while maintaining comfortable climate but also requires minimal additional investment. To address all the above questions and find out the appropriate controller, we propose and compare the performance of several control algorithms, which are of varying complexity and require varying amount of information. We divide the work presented in this dissertation into two parts. Examination of model-based control requires a model. In the first part, we develop a lumped parameter and physics-based model of hygro-thermal dynamics for a multi-zone building, which is called “full-scale” model. Though the full-scale model is a simplified lumped parameter model, it has a large number of states, which makes it unsuitable for real-time control, especially for the model-based control methods. Therefore, we develop a method for reducing the order of the hygro-thermal dynamic model for multi-zone buildings. The reduction method exploits the linear portion and sparsity pattern of the non-linear portion of the model to obtain the reduced order model. Simulation results for a four-zone building model show that the predictions of the zone temperatures and humidity ratios obtained from the reduced model are quite close to that of the full-scale model, and the computation time reduces by a factor of six or more. In the second part, we present several control algorithms and compare their performance and complexity. The goal of the control algorithms is to reduce the energy use over a conventional control algorithm, which we call a baseline (BL)… Advisors/Committee Members: Barooah, Prabir (committee chair), Rao, Anil (committee member), Dixon, Warren E (committee member), Ingley, Herbert A, Iii (committee member), Khargonekar, Pramod P (committee member).

Subjects/Keywords: Dynamic modeling; Energy consumption; Feedback control; Flow velocity; Humidity; Modeling; Simulations; Temperature control; Temperature ratio; Thigh; control – hvac – model-reduction – modeling – mpc – optimization – predictive-control

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Goyal, S. (2013). Modeling and Control Algorithms to Improve Energy Efficiency in Buildings. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0045729

Chicago Manual of Style (16^th Edition):

Goyal, Siddharth. “Modeling and Control Algorithms to Improve Energy Efficiency in Buildings.” 2013. Doctoral Dissertation, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0045729.

MLA Handbook (7^th Edition):

Goyal, Siddharth. “Modeling and Control Algorithms to Improve Energy Efficiency in Buildings.” 2013. Web. 12 Apr 2021.

Vancouver:

Goyal S. Modeling and Control Algorithms to Improve Energy Efficiency in Buildings. [Internet] [Doctoral dissertation]. University of Florida; 2013. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0045729.

Council of Science Editors:

Goyal S. Modeling and Control Algorithms to Improve Energy Efficiency in Buildings. [Doctoral Dissertation]. University of Florida; 2013. Available from: https://ufdc.ufl.edu/UFE0045729

University of Florida

11. Nambi,Sara. Optimal Control and Design Using Genetic Algorithm Accelerated by Neural Networks.

Degree: MS, Aerospace Engineering - Mechanical and Aerospace Engineering, 2011, University of Florida

URL: https://ufdc.ufl.edu/UFE0043086

► The main feature of this paper is the incorporation of Artificial Neural Networks (ANN) to accelerate the processing time of Genetic Algorithms (GA). In this… (more)

Subjects/Keywords: Approximation; Crossovers; Design engineering; Design optimization; Genetic algorithms; Mathematical vectors; Neural networks; Optimal solutions; Range searching; Trajectories; genetic – neural – optimization

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APA (6^th Edition):

Nambi,Sara. (2011). Optimal Control and Design Using Genetic Algorithm Accelerated by Neural Networks. (Masters Thesis). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0043086

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Chicago Manual of Style (16^th Edition):

Nambi,Sara. “Optimal Control and Design Using Genetic Algorithm Accelerated by Neural Networks.” 2011. Masters Thesis, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0043086.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

MLA Handbook (7^th Edition):

Nambi,Sara. “Optimal Control and Design Using Genetic Algorithm Accelerated by Neural Networks.” 2011. Web. 12 Apr 2021.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Vancouver:

Nambi,Sara. Optimal Control and Design Using Genetic Algorithm Accelerated by Neural Networks. [Internet] [Masters thesis]. University of Florida; 2011. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0043086.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Council of Science Editors:

Nambi,Sara. Optimal Control and Design Using Genetic Algorithm Accelerated by Neural Networks. [Masters Thesis]. University of Florida; 2011. Available from: https://ufdc.ufl.edu/UFE0043086

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

University of Florida

12. Ying,Lin. Automatic Differentiation for First and Second Derivative for Solving Nonlinear Programming Problems.

Degree: MS, Mechanical Engineering - Mechanical and Aerospace Engineering, 2011, University of Florida

URL: https://ufdc.ufl.edu/UFE0043437

► In this work, a new algorithm is proposed for automatic differentiation. The new algorithm uses object-oriented MATLAB to generate multi-dimensional derivatives. This work combines the… (more)

Subjects/Keywords: Algorithms; Composite functions; Derivative works; Mathematical constants; Mathematical independent variables; Mathematical variables; Mathematical vectors; Matrices; Nonlinear programming; Scalars

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APA (6^th Edition):

Ying,Lin. (2011). Automatic Differentiation for First and Second Derivative for Solving Nonlinear Programming Problems. (Masters Thesis). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0043437

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Chicago Manual of Style (16^th Edition):

Ying,Lin. “Automatic Differentiation for First and Second Derivative for Solving Nonlinear Programming Problems.” 2011. Masters Thesis, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0043437.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

MLA Handbook (7^th Edition):

Ying,Lin. “Automatic Differentiation for First and Second Derivative for Solving Nonlinear Programming Problems.” 2011. Web. 12 Apr 2021.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Vancouver:

Ying,Lin. Automatic Differentiation for First and Second Derivative for Solving Nonlinear Programming Problems. [Internet] [Masters thesis]. University of Florida; 2011. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0043437.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Council of Science Editors:

Ying,Lin. Automatic Differentiation for First and Second Derivative for Solving Nonlinear Programming Problems. [Masters Thesis]. University of Florida; 2011. Available from: https://ufdc.ufl.edu/UFE0043437

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

University of Florida

13. Bhat, Sanketh. Control-Oriented Analysis of Aerothermoelastic Effects for a Hypersonic Vehicle.

Degree: MS, Aerospace Engineering - Mechanical and Aerospace Engineering, 2008, University of Florida

URL: https://ufdc.ufl.edu/UFE0024107

► Hypersonic flight is seen as a feasible solution to make space travel faster, safer and more affordable. The design of the Air-breathing hypersonic vehicle is… (more)

▼ Hypersonic flight is seen as a feasible solution to make space travel faster, safer and more affordable. The design of the Air-breathing hypersonic vehicle is such that there is coupling between the structure and the propulsion system. Therefore, the aerodynamic, propulsion and the structural effects must be accounted to effectively model the vehicle. The vibrations from the structure affect the performance of the vehicle. Hence, vibration attenuation is a critical requirement for hypersonic vehicles. The problems of vibration are compounded by variations in heating during flight. Structural variations resulting from the tremendous heating incurred during hypersonic fight is mitigated by a thermal protection system (TPS); however, such mitigation is accompanied by an increase in weight that can be prohibitive. The actual design of a thermal protection system can be chosen to vary the level of heating reduction, and associated weight, across the structure. Our study examined the design of a Linear Parameter Varying controller for an hypersonic vehicle and describes the process of control-oriented analysis to suggest a better 'Thermal Protection System' for the vehicle. A Linear Parameter Varying control architecture was used that damps any thermal effects for a range of temperature profiles. Various designs are considered for a representative model to show the large variation in flight dynamics. Simulation results indicate that the proposed methodology may constitute a feasible approach toward the development of a robust Linear Parameter Varying controller to satisfactorily address the issue of temperature effects on the dynamics of the vehicle. From the above closed-loop design analysis, important information regarding the open-loop dynamics can be obtained. We then considered how such designs and resulting thermal gradients influence the ability to achieve closed-loop performance. The resulting closed-loop performance is characterized as a function of the induced thermal gradients to indicate the optimality of the design. It is also shown that the introduction of control synthesis merely adds a linear dependency onto a nonlinear dependency which does not overly increase the computational challenge. ( en ) Advisors/Committee Members: Lind, Richard C. (committee chair), Rao, Anil (committee member), Dixon, Warren E. (committee member).

Subjects/Keywords: Damping; Design analysis; Design optimization; Dynamic structural analysis; Fuselages; Hypersonic aircraft; Hypersonics; Modeling; Temperature profiles; Vibration; aerothermoelasticity, control, hypersonic, parameter, varying

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APA (6^th Edition):

Bhat, S. (2008). Control-Oriented Analysis of Aerothermoelastic Effects for a Hypersonic Vehicle. (Masters Thesis). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0024107

Chicago Manual of Style (16^th Edition):

Bhat, Sanketh. “Control-Oriented Analysis of Aerothermoelastic Effects for a Hypersonic Vehicle.” 2008. Masters Thesis, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0024107.

MLA Handbook (7^th Edition):

Bhat, Sanketh. “Control-Oriented Analysis of Aerothermoelastic Effects for a Hypersonic Vehicle.” 2008. Web. 12 Apr 2021.

Vancouver:

Bhat S. Control-Oriented Analysis of Aerothermoelastic Effects for a Hypersonic Vehicle. [Internet] [Masters thesis]. University of Florida; 2008. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0024107.

Council of Science Editors:

Bhat S. Control-Oriented Analysis of Aerothermoelastic Effects for a Hypersonic Vehicle. [Masters Thesis]. University of Florida; 2008. Available from: https://ufdc.ufl.edu/UFE0024107

University of Florida

14. Senses, Begum. Minimum-Fuel Finite Thrust Low-Earth Orbit Aeroassisted Orbital Transfer of Small Spacecraft.

Degree: MS, Aerospace Engineering - Mechanical and Aerospace Engineering, 2011, University of Florida

URL: https://ufdc.ufl.edu/UFE0043797

► In this study, minimum fuel solutions to finite thrust noncoplanar aeroassisted orbital transfers of a small spacecraft between two low-Earth orbits are found using General… (more)

Subjects/Keywords: Aircraft maneuvers; Altitude; Atmospherics; Flight paths; Heating; Low earth orbits; Sine function; Spacecraft; Textual collocation; Transfer orbits; aeroassisted – finite – fuel – leo – minimum – noncoplanar – orbital – small – spacecraft – thrust – transfer

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APA (6^th Edition):

Senses, B. (2011). Minimum-Fuel Finite Thrust Low-Earth Orbit Aeroassisted Orbital Transfer of Small Spacecraft. (Masters Thesis). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0043797

Chicago Manual of Style (16^th Edition):

Senses, Begum. “Minimum-Fuel Finite Thrust Low-Earth Orbit Aeroassisted Orbital Transfer of Small Spacecraft.” 2011. Masters Thesis, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0043797.

MLA Handbook (7^th Edition):

Senses, Begum. “Minimum-Fuel Finite Thrust Low-Earth Orbit Aeroassisted Orbital Transfer of Small Spacecraft.” 2011. Web. 12 Apr 2021.

Vancouver:

Senses B. Minimum-Fuel Finite Thrust Low-Earth Orbit Aeroassisted Orbital Transfer of Small Spacecraft. [Internet] [Masters thesis]. University of Florida; 2011. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0043797.

Council of Science Editors:

Senses B. Minimum-Fuel Finite Thrust Low-Earth Orbit Aeroassisted Orbital Transfer of Small Spacecraft. [Masters Thesis]. University of Florida; 2011. Available from: https://ufdc.ufl.edu/UFE0043797

University of Florida

15. Liu, Fengjin. Adaptive Mesh Refinement Methods for Solving Optimal Control Problems.

Degree: PhD, Mechanical Engineering - Mechanical and Aerospace Engineering, 2015, University of Florida

URL: https://ufdc.ufl.edu/UFE0049568

Subjects/Keywords: collocation-methods; differential-equations; mesh-refinement; optimal-control

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APA (6^th Edition):

Liu, F. (2015). Adaptive Mesh Refinement Methods for Solving Optimal Control Problems. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0049568

Chicago Manual of Style (16^th Edition):

Liu, Fengjin. “Adaptive Mesh Refinement Methods for Solving Optimal Control Problems.” 2015. Doctoral Dissertation, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0049568.

MLA Handbook (7^th Edition):

Liu, Fengjin. “Adaptive Mesh Refinement Methods for Solving Optimal Control Problems.” 2015. Web. 12 Apr 2021.

Vancouver:

Liu F. Adaptive Mesh Refinement Methods for Solving Optimal Control Problems. [Internet] [Doctoral dissertation]. University of Florida; 2015. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0049568.

Council of Science Editors:

Liu F. Adaptive Mesh Refinement Methods for Solving Optimal Control Problems. [Doctoral Dissertation]. University of Florida; 2015. Available from: https://ufdc.ufl.edu/UFE0049568

University of Florida

16. Hurley, Ryan. Three-Dimensional Trajectory Generation for Flight Within an Obstacle Rich Environment.

Degree: MS, Aerospace Engineering - Mechanical and Aerospace Engineering, 2009, University of Florida

URL: https://ufdc.ufl.edu/UFE0024478

► Autonomous flight through urban environments requires methods to generate trajectories that traverse the region and its associated obstacles. This thesis introduces the development of a… (more)

Subjects/Keywords: Aircraft maneuvers; City planning; Kinetics; Robotics; Simulations; Trajectories; Travel time; Tree growth; Vehicles; Walkways; aerial, air, airplane, autonomous, avoidance, bridge, building, city, dense, dimension, dimensional, dubins, hurley, lind, mav, micro, obstacle, path, planning, random, ryan, structure, three, trajectory, tree, two, uav, unmanned, urban, vehicle

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APA (6^th Edition):

Hurley, R. (2009). Three-Dimensional Trajectory Generation for Flight Within an Obstacle Rich Environment. (Masters Thesis). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0024478

Chicago Manual of Style (16^th Edition):

Hurley, Ryan. “Three-Dimensional Trajectory Generation for Flight Within an Obstacle Rich Environment.” 2009. Masters Thesis, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0024478.

MLA Handbook (7^th Edition):

Hurley, Ryan. “Three-Dimensional Trajectory Generation for Flight Within an Obstacle Rich Environment.” 2009. Web. 12 Apr 2021.

Vancouver:

Hurley R. Three-Dimensional Trajectory Generation for Flight Within an Obstacle Rich Environment. [Internet] [Masters thesis]. University of Florida; 2009. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0024478.

Council of Science Editors:

Hurley R. Three-Dimensional Trajectory Generation for Flight Within an Obstacle Rich Environment. [Masters Thesis]. University of Florida; 2009. Available from: https://ufdc.ufl.edu/UFE0024478

University of Florida

17. Cornelison, Victoria. Calculation of Ar-41 Concentrations for the University of Florida Training Reactor Using Atmospheric Dispersion Modeling Codes STAC2.1 and CALPUFF.

Degree: MS, Nuclear Engineering Sciences - Nuclear and Radiological Engineering, 2008, University of Florida

URL: https://ufdc.ufl.edu/UFE0022452

► This thesis combines atmospheric plume dispersion modeling and meteorological data to achieve an estimate of the downwind concentration of Ar-41 effluent during routine operation of… (more)

Subjects/Keywords: Atmospheric models; Atmospherics; Dosage; Halls; Housing; Plumes; Slugs; Weather conditions; Wind direction; Wind velocity; argon, atmospheric, concentration, dispersion, limits, operations, reactor; East Hall ( local )

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APA (6^th Edition):

Cornelison, V. (2008). Calculation of Ar-41 Concentrations for the University of Florida Training Reactor Using Atmospheric Dispersion Modeling Codes STAC2.1 and CALPUFF. (Masters Thesis). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0022452

Chicago Manual of Style (16^th Edition):

Cornelison, Victoria. “Calculation of Ar-41 Concentrations for the University of Florida Training Reactor Using Atmospheric Dispersion Modeling Codes STAC2.1 and CALPUFF.” 2008. Masters Thesis, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0022452.

MLA Handbook (7^th Edition):

Cornelison, Victoria. “Calculation of Ar-41 Concentrations for the University of Florida Training Reactor Using Atmospheric Dispersion Modeling Codes STAC2.1 and CALPUFF.” 2008. Web. 12 Apr 2021.

Vancouver:

Cornelison V. Calculation of Ar-41 Concentrations for the University of Florida Training Reactor Using Atmospheric Dispersion Modeling Codes STAC2.1 and CALPUFF. [Internet] [Masters thesis]. University of Florida; 2008. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0022452.

Council of Science Editors:

Cornelison V. Calculation of Ar-41 Concentrations for the University of Florida Training Reactor Using Atmospheric Dispersion Modeling Codes STAC2.1 and CALPUFF. [Masters Thesis]. University of Florida; 2008. Available from: https://ufdc.ufl.edu/UFE0022452

University of Florida

18. Munoz,Josue David. Rapid Path-Planning Algorithms for Autonomous Proximity Operations of Satellites.

Degree: PhD, Aerospace Engineering - Mechanical and Aerospace Engineering, 2011, University of Florida

URL: https://ufdc.ufl.edu/UFE0042882

Autonomous proximity operations (APOs) can be bifurcated into two phases: (i) Advisors/Committee Members: Fitz-Coy, Norman G (committee chair), Rao, Anil (committee member), Dixon, Warren E (committee member), Burks, Thomas F (committee member).

Subjects/Keywords: Approximation; Artificial satellites; Harmonic functions; Optimal control; Quaternions; Reaction wheels; Spacecraft; Torque; Trajectories; Velocity; adaptive – algorithm – approach – artificial – autonomous – close – final – function – homotopy – maneuver – method – operation – path – picard – planning – potential – proximity – range – rapid – real – rendezvous – satellite – spacecraft – time – trajectory

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APA (6^th Edition):

David, M. (2011). Rapid Path-Planning Algorithms for Autonomous Proximity Operations of Satellites. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0042882

Chicago Manual of Style (16^th Edition):

David, Munoz,Josue. “Rapid Path-Planning Algorithms for Autonomous Proximity Operations of Satellites.” 2011. Doctoral Dissertation, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0042882.

MLA Handbook (7^th Edition):

David, Munoz,Josue. “Rapid Path-Planning Algorithms for Autonomous Proximity Operations of Satellites.” 2011. Web. 12 Apr 2021.

Vancouver:

David M. Rapid Path-Planning Algorithms for Autonomous Proximity Operations of Satellites. [Internet] [Doctoral dissertation]. University of Florida; 2011. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0042882.

Council of Science Editors:

David M. Rapid Path-Planning Algorithms for Autonomous Proximity Operations of Satellites. [Doctoral Dissertation]. University of Florida; 2011. Available from: https://ufdc.ufl.edu/UFE0042882

University of Florida

19. Garg,Divya. Advances in Global Pseudospectral Methods for Optimal Control.

Degree: PhD, Mechanical Engineering - Mechanical and Aerospace Engineering, 2011, University of Florida

URL: https://ufdc.ufl.edu/UFE0043196

► A new pseudospectral method that employs global collocation at the Legendre-Gauss-Radau (LGR) points is presented for direct trajectory optimization and costate estimation of finite-horizon optimal… (more)

Subjects/Keywords: Approximation; Boundary conditions; Cost functions; Degrees of polynomials; Error rates; Matrices; Necessary conditions for optimality; Optimal control; Polynomials; Textual collocation

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APA (6^th Edition):

Garg,Divya. (2011). Advances in Global Pseudospectral Methods for Optimal Control. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0043196

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Chicago Manual of Style (16^th Edition):

Garg,Divya. “Advances in Global Pseudospectral Methods for Optimal Control.” 2011. Doctoral Dissertation, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0043196.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

MLA Handbook (7^th Edition):

Garg,Divya. “Advances in Global Pseudospectral Methods for Optimal Control.” 2011. Web. 12 Apr 2021.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Vancouver:

Garg,Divya. Advances in Global Pseudospectral Methods for Optimal Control. [Internet] [Doctoral dissertation]. University of Florida; 2011. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0043196.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Council of Science Editors:

Garg,Divya. Advances in Global Pseudospectral Methods for Optimal Control. [Doctoral Dissertation]. University of Florida; 2011. Available from: https://ufdc.ufl.edu/UFE0043196

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

University of Florida

20. Leve, Frederick. Novel Steering and Control Algorithms for Single-Gimbal Control Moment Gyroscopes.

Degree: PhD, Aerospace Engineering - Mechanical and Aerospace Engineering, 2010, University of Florida

URL: https://ufdc.ufl.edu/UFE0042129

► NOVEL STEERING AND CONTROL ALGORITHMS FOR SINGLE-GIMBAL CONTROL MOMENT GYROSCOPES The research presented in this manuscript attempts to first systematically solve the SGCMG steering and… (more)

▼ NOVEL STEERING AND CONTROL ALGORITHMS FOR SINGLE-GIMBAL CONTROL MOMENT GYROSCOPES The research presented in this manuscript attempts to first systematically solve the SGCMG steering and control problem. To accomplish this, a better understanding of singularities associated with SGCMGs is required. Next based on a better understanding of singularities, a Hybrid Steering Logic (HSL) is developed and compared to the legacy methods singular direction avoidance(SDA) and local gradient (LG) methods. The HSL is shown analytically and numerically to outperform these legacy methods for a four-SGCMG pyramid arrangement in terms of attitude tracking precision. However, all of the methods are susceptible to gimbal-lock. A method referred to as Orthogonal Torque Compensation (OTC) is developed for singularities with gimbal-lock in SGCMGs, which are known to present a challenge to most steering algorithms. Orthogonal Torque Compensation conditions the attitude control torque by adding torque error orthogonal to the singular direction when at singularity. This method can be combined with any steering algorithm including HSL and is proven analytically to be stable and escape singularities with gimbal-lock. Finally, the problems with scaling systems of SGCMGs are discussed. It is found that scaling produces an increase in the gimbal-wheel assembly inertia of the SGCMGs which in turn increases the effect of the dynamics associated with these inertias. Through analysis and numerical simulations, it is shown that more significant gimbal-flywheel inertia reduces the performance by increasing torque error and reducing torque amplification of SGCMGs. Since most of the legacy algorithms used for singularity avoidance and escape use the gimbal rates for control, the performance is degraded when the dynamics from the gimbal-wheel assembly inertia are increased. This degraded performance is shown to also be dependent on the ratio of gimbal-wheel assembly inertia to nominal SGCMG flywheel angular momentum. The overall result here is that the same legacy steering algorithms that use gimbal rates for control cannot be used for systems of SGCMGs of a reduced scale. ( en ) Advisors/Committee Members: Fitz-Coy, Norman G. (committee chair), Dixon, Warren E. (committee member), Rao, Anil (committee member), Hager, William W. (committee member), Erwin, Richard (committee member).

Subjects/Keywords: Acceleration; Angular momentum; Gimbals; Gyroscopes; Jacobians; Momentum; Simulations; Spacecraft; Steering; Torque; attitude, control, elliptic, hyperbolic, singularities, small, steering

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APA (6^th Edition):

Leve, F. (2010). Novel Steering and Control Algorithms for Single-Gimbal Control Moment Gyroscopes. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0042129

Chicago Manual of Style (16^th Edition):

Leve, Frederick. “Novel Steering and Control Algorithms for Single-Gimbal Control Moment Gyroscopes.” 2010. Doctoral Dissertation, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0042129.

MLA Handbook (7^th Edition):

Leve, Frederick. “Novel Steering and Control Algorithms for Single-Gimbal Control Moment Gyroscopes.” 2010. Web. 12 Apr 2021.

Vancouver:

Leve F. Novel Steering and Control Algorithms for Single-Gimbal Control Moment Gyroscopes. [Internet] [Doctoral dissertation]. University of Florida; 2010. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0042129.

Council of Science Editors:

Leve F. Novel Steering and Control Algorithms for Single-Gimbal Control Moment Gyroscopes. [Doctoral Dissertation]. University of Florida; 2010. Available from: https://ufdc.ufl.edu/UFE0042129

University of Florida

21. Hou, Hongyan. Convergence Analysis of Orthogonal Collocation Methods for Unconstrained Optimal Control.

Degree: PhD, Mathematics, 2013, University of Florida

URL: https://ufdc.ufl.edu/UFE0045697

Subjects/Keywords: Approximation; Control theory; Degrees of polynomials; Gaussian quadratures; Interpolation; Matrices; Optimal control; Polynomials; Quadratic programming; Textual collocation; convergence; gaussian-collocation-mehtod; lebesgue-constant

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APA (6^th Edition):

Hou, H. (2013). Convergence Analysis of Orthogonal Collocation Methods for Unconstrained Optimal Control. (Doctoral Dissertation). University of Florida. Retrieved from https://ufdc.ufl.edu/UFE0045697

Chicago Manual of Style (16^th Edition):

Hou, Hongyan. “Convergence Analysis of Orthogonal Collocation Methods for Unconstrained Optimal Control.” 2013. Doctoral Dissertation, University of Florida. Accessed April 12, 2021. https://ufdc.ufl.edu/UFE0045697.

MLA Handbook (7^th Edition):

Hou, Hongyan. “Convergence Analysis of Orthogonal Collocation Methods for Unconstrained Optimal Control.” 2013. Web. 12 Apr 2021.

Vancouver:

Hou H. Convergence Analysis of Orthogonal Collocation Methods for Unconstrained Optimal Control. [Internet] [Doctoral dissertation]. University of Florida; 2013. [cited 2021 Apr 12]. Available from: https://ufdc.ufl.edu/UFE0045697.

Council of Science Editors:

Hou H. Convergence Analysis of Orthogonal Collocation Methods for Unconstrained Optimal Control. [Doctoral Dissertation]. University of Florida; 2013. Available from: https://ufdc.ufl.edu/UFE0045697

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