Dissertations / Theses on the topic 'Optimal control theory'
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Bellon, James. "Riccati Equations in Optimal Control Theory." Digital Archive @ GSU, 2008. http://digitalarchive.gsu.edu/math_theses/46.
Full textYiu, Ka Fai Cedric. "Aerodynamic design via optimal control theory." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.317867.
Full textZenios, Stefanos A. (Stefanos Andrea). "Health care applications of optimal control theory." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/11042.
Full textSilva, Francisco Jose. "Interior penalty approximation for optimal control problems. Optimality conditions in stochastic optimal control theory." Palaiseau, Ecole polytechnique, 2010. http://pastel.archives-ouvertes.fr/docs/00/54/22/95/PDF/tesisfjsilva.pdf.
Full textRésumé anglais : This thesis is divided in two parts. In the first one we consider deterministic optimal control problems and we study interior approximations for two model problems with non-negativity constraints. The first model is a quadratic optimal control problem governed by a nonautonomous affine ordinary differential equation. We provide a first-order expansion for the penalized state an adjoint state (around the corresponding state and adjoint state of the original problem), for a general class of penalty functions. Our main argument relies on the following fact: if the optimal control satisfies strict complementarity conditions for its Hamiltonian, except for a set of times with null Lebesgue measure, the functional estimates of the penalized optimal control problem can be derived from the estimates of a related finite dimensional problem. Our results provide three types of measure to analyze the penalization technique: error estimates of the control, error estimates of the state and the adjoint state and also error estimates for the value function. The second model we study is the optimal control problem of a semilinear elliptic PDE with a Dirichlet boundary condition, where the control variable is distributed over the domain and is constrained to be non-negative. Following the same approach as in the first model, we consider an associated family of penalized problems, whose solutions define a central path converging to the solution of the original one. In this fashion, we are able to extend the results obtained in the ODE framework to the case of semilinear elliptic PDE constraints. In the second part of the thesis we consider stochastic optimal control problems. We begin withthe study of a stochastic linear quadratic problem with non-negativity control constraints and we extend the error estimates for the approximation by logarithmic penalization. The proof is based is the stochastic Pontryagin's principle and a duality argument. Next, we deal with a general stochastic optimal control problem with convex control constraints. Using the variational approach, we are able to obtain first and second-order expansions for the state and cost function, around a local minimum. This analysis allows us to prove general first order necessary condition and, under a geometrical assumption over the constraint set, second-order necessary conditions are also established
Hunt, K. J. "Stochastic optimal control theory with application in self-tuning control." Thesis, University of Strathclyde, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.382399.
Full textShaikh, Mohammad Shahid. "Optimal control of hybrid systems : theory and algorithms." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=85095.
Full textIn this thesis we first formulate a class of hybrid optimal control problems (HOCPs) for systems with controlled and autonomous location transitions and then present necessary conditions for hybrid system trajectory optimality. These necessary conditions constitute generalizations of the standard Minimum Principle (MP) and are presented for the cases of open bounded control value sets and compact control value sets. These conditions give information about the behaviour of the Hamiltonian and the adjoint process at both autonomous and controlled switching times.
Such proofs of the necessary conditions for hybrid systems optimality which can be found in the literature are sufficiently complex that they are difficult to verify and use; in contrast, the formulation of the HOCP given in Chapter 2 of this thesis, together with the use of (i) classical variational methods and more recent needle variation techniques, and (ii) a local controllability condition, called the small time tubular fountain (STTF) condition, make the proofs in that chapter comparatively accessible. We note that the STTF condition is used to establish the adjoint and Hamiltonian jump conditions in the autonomous switchings case.
A hybrid Dynamic Programming Principle (HDPP) generalizing the standard dynamic programming principle to hybrid systems is also derived and this leads to hybrid Hamilton-Jacobi-Bellman (HJB) equation which is then used to establish a verification theorem within this framework. (Abstract shortened by UMI.)
Nedeljković, Nikola. "The LORE computational method in optimal control theory." Thesis, Nedeljković, Nikola (1985) The LORE computational method in optimal control theory. PhD thesis, Murdoch University, 1985. https://researchrepository.murdoch.edu.au/id/eprint/51530/.
Full textDal, Bianco Nicola. "Optimal control of road vehicles: theory and applications." Doctoral thesis, Università degli studi di Padova, 2017. http://hdl.handle.net/11577/3424690.
Full textIn this thesis Optimal Control (OC) of road vehicles is studied especially focusing on minimum lap time simulations. The theory underlying the most used optimal control solving techniques is described, including both the Pontryagin Maximum Principle and the reduction to Nonlinear Programming. Direct and indirect methods for optimal control problems are presented and compared against minimum lap time simulations (LTS). Modelling of vehicles for OC-LTSs is studied in order to understand how different design choices can affect simulation outcomes. Novel multibody models of four wheeled vehicles - a GP2 car and a go-kart - for OC-LTSs are developed and validated thorough comparison with experimental data. Particular attention is dedicated to the simulation of tyre load dynamics, that is achieved by a proper modelling of the chassis and suspension motions and of the aerodynamic forces. OC-LTSs are applied to electric vehicles too, specifically to optimise the design of an electric motorbike taking part at the Tourist Trophy Zero competition. A concise yet effective model is proposed in order to perform reliable simulations on a 60km long road in a reasonable amount of time. Experimental data is used to validate the model. A direct full collocation transcription method for OCPs dealing with implicit differential equations and control derivatives is presented, moreover the structure of the resulting NLP problem is accurately described. The relationship between the first order necessary conditions and the Lagrange multipliers of the NLP and OC problems are derived under the adopted discretisation scheme. The presented transcription method is implemented into a software which is currently in use at the University of Padova to solve OC-LTSs.
Seywald, Hans. "Optimal control problems with switching points." Diss., This resource online, 1990. http://scholar.lib.vt.edu/theses/available/etd-07282008-135220/.
Full textGuo, Chaoyang. "Some optimal control problems in mathematical finance." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0022/NQ39269.pdf.
Full textAmann, Notker. "Optimal algorithms for iterative learning control." Thesis, University of Exeter, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.337751.
Full textLuria, Gianvittorio. "Constrained Calculus of Variations and Geometric Optimal Control Theory." Doctoral thesis, Università degli studi di Trento, 2010. https://hdl.handle.net/11572/368036.
Full textLuria, Gianvittorio. "Constrained Calculus of Variations and Geometric Optimal Control Theory." Doctoral thesis, University of Trento, 2010. http://eprints-phd.biblio.unitn.it/170/1/Constrained_Calculus_of_Variations_and_Geometric_Optimal_Control_Theory.pdf.
Full textSpjøtvold, Jørgen. "Parametric Programming in Control Theory." Doctoral thesis, Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, 2008. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-2198.
Full textThe main contributions in this thesis are advances in parametric programming. The thesis is divided into three parts; theoretical advances, application areas and constrained control allocation. The first part deals with continuity properties and the structure of solutions to convex parametric quadratic and linear programs. The second part focuses on applications of parametric quadratic and linear programming in control theory. The third part deals with constrained control allocation and how parametric programming can be used to obtain explicit solutions to this problem.
Abou, El-Nasr Mohamad. "Timing control of manufacturing systems an optimal control perspective." Diss., Georgia Institute of Technology, 2003. http://hdl.handle.net/1853/14847.
Full textHuang, Hui. "Optimal control of piecewise continuous stochastic processes." Bonn : [s.n.], 1989. http://catalog.hathitrust.org/api/volumes/oclc/23831217.html.
Full text姚濬帆 and Chun-fan Yiu. "Evolutionary synthesis of time-optimal control policies." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B29866170.
Full textCheng, Tak Sum. "Stochastic optimal control in randomly-branching environments." HKBU Institutional Repository, 2006. http://repository.hkbu.edu.hk/etd_ra/713.
Full textGoebel, Rafal. "Convexity, convergence and feedback in optimal control /." Thesis, Connect to this title online; UW restricted, 2000. http://hdl.handle.net/1773/5792.
Full textYiu, Chun-fan. "Evolutionary synthesis of time-optimal control policies /." Hong Kong : University of Hong Kong, 2002. http://sunzi.lib.hku.hk/hkuto/record.jsp?B25151058.
Full textAchmatowicz, Richard L. (Richard Leon). "Optimal control problems on an infinite time horizon." Thesis, McGill University, 1985. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=66052.
Full textPavlic, Theodore P. "Optimal Foraging Theory Revisited." Connect to resource, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1181936683.
Full textTsai, Mi-Ching. "Super-optimal control system design for multivariable plants." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.238170.
Full textRanga, Mithun Kumar. "Fixed order optimal control using genetic algorithms /." free to MU campus, to others for purchase, 2004. http://wwwlib.umi.com/cr/mo/fullcit?p1426097.
Full textAndrews, Timothy Paul. "An existence theory for optimal control problems with time delays." Thesis, Imperial College London, 1989. http://hdl.handle.net/10044/1/47332.
Full textThomas, Brian S. S. M. Massachusetts Institute of Technology. "Optimal control theory applied to ship maneuvering in restricted waters." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/33591.
Full textIncludes bibliographical references (leaves 70-71).
Ship drivers have long understood that powerful interaction forces exist when ships operate in close proximity to rigid boundaries or other vessels. Controlling the effects of these forces has been traditionally handled by experienced helmsmen. The purpose of this research is to apply modern optimal control theory to these maneuvering scenarios in order to show that helmsman may some day be replaced by modern controllers. The maneuvering equations of motion are cast in a linear state space framework, permitting the design of a linear quadratic (LQ) controller. In addition, the hydrodynamic effects are modeled using potential flow theory in order to simulate the interaction forces and test the efficacy of the controller. This research demonstrates that the linear quadratic regulator effectively controls ship motions due to the presence of a boundary or other vessel over a broad range of speeds and separation distances. Furthermore, the method proposed provides stable control in the presence of additional. stochastic disturbances.
by Brian S. Thomas.
S.M.
Paião, Ana Pedro Lemos. "Introduction to optimal control theory and its application to diabetes." Master's thesis, Universidade de Aveiro, 2015. http://hdl.handle.net/10773/16806.
Full textO Cálculo das Variações e o Controlo Ótimo são dois ramos da Matemática que estão muito interligados entre si e também com outras áreas. Como exemplo, podemos citar a Geometria, a Física, a Mecânica, a Economia, a Biologia, bem como a Medicina. Nesta tese estudamos vários tipos de problemas variacionais e de Controlo Ótimo, estabelecendo a ligação entre alguns destes. Fazemos uma breve introdução sobre a Diabetes Mellitus, uma vez que estudamos um modelo matemático que traduz a interação entre a glicose e a insulina no sangue por forma a otimizar o estado de uma pessoa com diabetes tipo 1.
The Calculus of Variations and the Optimal Control are two branches of Mathematics that are very interconnected with each other and with other areas. As example, we can mention Geometry, Physics, Mechanics, Economics, Biology and Medicine. In this thesis we study various types of variational problems and of Optimal Control, establishing the connection between some of these. We make a brief introduction to the Diabetes Mellitus, because we study a mathematical model that reflects the interaction between glucose and insulin in the blood in order to optimize the state of a person with diabetes type 1.
Whittle, Andrew John. "Gypsy moth modelling with an application of optimal control theory." Thesis, University of Bath, 2004. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.412345.
Full textDavies, I. "Optimal control of functional differential systems with application to transmission lines." Thesis, Coventry University, 2015. http://curve.coventry.ac.uk/open/items/11749285-3b9a-44cf-bc72-0d02c27141bc/1.
Full textAxelsson, Henrik. "Optimal Control of Switched Autonomous Systems: Theory, Algorithms, and Robotic Applications." Diss., Available online, Georgia Institute of Technology, 2006, 2006. http://etd.gatech.edu/theses/available/etd-04052006-131248/.
Full textAshraf Saad, Committee Member ; Spyros Reveliotis, Committee Member ; Anthony Yezzi, Committee Member ; Erik Verriest, Committee Member ; Yorai Wardi, Committee Co-Chair ; Magnus Egerstedt, Committee Chair.
Tsang, Siu Chung. "Preconditioners for linear parabolic optimal control problems." HKBU Institutional Repository, 2017. https://repository.hkbu.edu.hk/etd_oa/464.
Full textSafi, Samghabadi Pedram. "Kinematic analysis and control design of a retractable wheel mechanism using optimal control theory." Thesis, California State University, Long Beach, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=1527340.
Full textMobile robots are un-manned systems and must be able to overcome the obstacles they face without human intervention. In this research we have proposed a novel retractable mechanism which converts a linear hydraulic motion into expansion of six claws at each wheel. In order to control the expansion, optimal control theory was applied and a constrained optimization problem was defined using different Simulink toolboxes and applied to the mechanism modeled in SimHydraulics/SimMechanics. The main benefit of performing both hydraulic and mechanical system simulation and also control design in the same environment is to eliminate mathematical approximation of the model and using existing Simulink simulation tools for simulation and control. Systems were modeled and controller optimization was performed. Simulation results are illustrated at the end, which show the method's versatility and reliability for controlling the mechanism operation.
Buckingham, N. J. "Aspects of feedback stabilisation and optimal control of bilinear systems." Thesis, University of Bath, 1986. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.373389.
Full textZhang, Lei. "Stochastic optimal control and regime switching : applications in economics." Thesis, University of Warwick, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.387250.
Full textIourtchenko, Daniil V. "Optimal bounded control and relevant response analysis for random vibrations." Link to electronic thesis, 2001. http://www.wpi.edu/Pubs/ETD/Available/etd-0525101-111407.
Full textKeywords: Stochastic optimal control; dynamic programming; Hamilton-Jacobi-Bellman equation; Random vibration. Keywords: Stochastic optimal control; dynamic programming; Hamilton-Jacobi-Bellman equation; Random vibration; energy balance method. Includes bibliographical references (p. 86-89).
Lin, Yiing-Yuh. "Nonlinear optimal control and near-optimal guidance strategies in spacecraft general attitude maneuvers." Diss., Virginia Polytechnic Institute and State University, 1988. http://hdl.handle.net/10919/53572.
Full textPh. D.
Kim, Eulgon. "Optimal helicopter trajectory planning for terrain following flight." Diss., Georgia Institute of Technology, 1989. http://hdl.handle.net/1853/12932.
Full text李澤康 and Chak-hong Lee. "Nonlinear time-delay optimal control problem: optimality conditions and duality." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1995. http://hub.hku.hk/bib/B31212475.
Full textLee, Chak-hong. "Nonlinear time-delay optimal control problem : optimality conditions and duality /." [Hong Kong] : University of Hong Kong, 1995. http://sunzi.lib.hku.hk/hkuto/record.jsp?B16391640.
Full textGrigorenko, Ilia A. "Theory for ultrafast dynamics and optimal control of electrons in nanostructures." [S.l. : s.n.], 2002. http://www.diss.fu-berlin.de/2003/37/index.html.
Full textWong, Man-kwun, and 黃文冠. "Some sensitivity results for time-delay optimal control problems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B31223655.
Full textMohammadi, Seyed A. "A numerical study of some hybrid conjugate gradient methods in optimal control." Thesis, Loughborough University, 1995. https://dspace.lboro.ac.uk/2134/27361.
Full textDinesh, K. "An approximation method for the finite-time optimal control for nonlinear systems." Thesis, University of Sheffield, 1999. http://etheses.whiterose.ac.uk/14781/.
Full textMorris, Russell A. "Optimal state estimation for the optimal control of far-field acoustic radiation pressure from submerged plates." Thesis, This resource online, 1992. http://scholar.lib.vt.edu/theses/available/etd-06232009-063036/.
Full textZhang, Xiaohong. "Optimal feedback control for nonlinear discrete systems and applications to optimal control of nonlinear periodic ordinary differential equations." Diss., Virginia Tech, 1993. http://hdl.handle.net/10919/40185.
Full textPokrud, Boonyarit. "H∞ optimal control : general solution by interpolation and design with multiple objective functions." Thesis, University of Surrey, 1989. http://epubs.surrey.ac.uk/847911/.
Full textWingard, Philip A. (Philip Allen). "Improving the rowing process with a computer model and optimal control theory." Thesis, Massachusetts Institute of Technology, 1991. http://hdl.handle.net/1721.1/13423.
Full textTitle as it appears in the June, 1991 M.I.T. Graduate List: Rowing optimization using a computer.
by Philip A. Wingard.
Ocean.E.
Borneman, Troy W., David G. Cory, and Martin D. Hürlimann. "Signal optimization in inhomogeneous fields: application of quantum optimal control theory troy." Diffusion fundamentals 10 (2009) 12, S. 1-3, 2009. https://ul.qucosa.de/id/qucosa%3A14103.
Full textRiffer, Jennifer Lynn. "Time-optimal control of discrete-time systems with known waveform disturbances." [Milwaukee, Wis.] : e-Publications@Marquette, 2009. http://epublications.marquette.edu/theses_open/18.
Full textHamzavi-Rad, S. "The optimal control of energy consumption in the United States Economy." Thesis, University of Essex, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.381927.
Full text