Synthesis of Optimal, Discrete Time, Adaptive Control Systems

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Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.:/5 (32 download)

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Book Synopsis Synthesis of Optimal, Discrete Time, Adaptive Control Systems by : David D. Sworder

Download or read book Synthesis of Optimal, Discrete Time, Adaptive Control Systems written by David D. Sworder and published by . This book was released on 1965 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete-Time Inverse Optimal Control for Nonlinear Systems

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Author :
Publisher : CRC Press
ISBN 13 : 1466580887
Total Pages : 268 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Discrete-Time Inverse Optimal Control for Nonlinear Systems by : Edgar N. Sanchez

Download or read book Discrete-Time Inverse Optimal Control for Nonlinear Systems written by Edgar N. Sanchez and published by CRC Press. This book was released on 2017-12-19 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete-Time Inverse Optimal Control for Nonlinear Systems proposes a novel inverse optimal control scheme for stabilization and trajectory tracking of discrete-time nonlinear systems. This avoids the need to solve the associated Hamilton-Jacobi-Bellman equation and minimizes a cost functional, resulting in a more efficient controller. Design More Efficient Controllers for Stabilization and Trajectory Tracking of Discrete-Time Nonlinear Systems The book presents two approaches for controller synthesis: the first based on passivity theory and the second on a control Lyapunov function (CLF). The synthesized discrete-time optimal controller can be directly implemented in real-time systems. The book also proposes the use of recurrent neural networks to model discrete-time nonlinear systems. Combined with the inverse optimal control approach, such models constitute a powerful tool to deal with uncertainties such as unmodeled dynamics and disturbances. Learn from Simulations and an In-Depth Case Study The authors include a variety of simulations to illustrate the effectiveness of the synthesized controllers for stabilization and trajectory tracking of discrete-time nonlinear systems. An in-depth case study applies the control schemes to glycemic control in patients with type 1 diabetes mellitus, to calculate the adequate insulin delivery rate required to prevent hyperglycemia and hypoglycemia levels. The discrete-time optimal and robust control techniques proposed can be used in a range of industrial applications, from aerospace and energy to biomedical and electromechanical systems. Highlighting optimal and efficient control algorithms, this is a valuable resource for researchers, engineers, and students working in nonlinear system control.

Optimal Adaptive Control Systems by David Sworder

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Publisher : Elsevier
ISBN 13 : 0080955312
Total Pages : 201 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Optimal Adaptive Control Systems by David Sworder by :

Download or read book Optimal Adaptive Control Systems by David Sworder written by and published by Elsevier. This book was released on 1966-01-01 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Adaptive Dynamic Programming for Control

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Publisher : Springer Science & Business Media
ISBN 13 : 144714757X
Total Pages : 432 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Adaptive Dynamic Programming for Control by : Huaguang Zhang

Download or read book Adaptive Dynamic Programming for Control written by Huaguang Zhang and published by Springer Science & Business Media. This book was released on 2012-12-14 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many methods of stable controller design for nonlinear systems. In seeking to go beyond the minimum requirement of stability, Adaptive Dynamic Programming in Discrete Time approaches the challenging topic of optimal control for nonlinear systems using the tools of adaptive dynamic programming (ADP). The range of systems treated is extensive; affine, switched, singularly perturbed and time-delay nonlinear systems are discussed as are the uses of neural networks and techniques of value and policy iteration. The text features three main aspects of ADP in which the methods proposed for stabilization and for tracking and games benefit from the incorporation of optimal control methods: • infinite-horizon control for which the difficulty of solving partial differential Hamilton–Jacobi–Bellman equations directly is overcome, and proof provided that the iterative value function updating sequence converges to the infimum of all the value functions obtained by admissible control law sequences; • finite-horizon control, implemented in discrete-time nonlinear systems showing the reader how to obtain suboptimal control solutions within a fixed number of control steps and with results more easily applied in real systems than those usually gained from infinite-horizon control; • nonlinear games for which a pair of mixed optimal policies are derived for solving games both when the saddle point does not exist, and, when it does, avoiding the existence conditions of the saddle point. Non-zero-sum games are studied in the context of a single network scheme in which policies are obtained guaranteeing system stability and minimizing the individual performance function yielding a Nash equilibrium. In order to make the coverage suitable for the student as well as for the expert reader, Adaptive Dynamic Programming in Discrete Time: • establishes the fundamental theory involved clearly with each chapter devoted to a clearly identifiable control paradigm; • demonstrates convergence proofs of the ADP algorithms to deepen understanding of the derivation of stability and convergence with the iterative computational methods used; and • shows how ADP methods can be put to use both in simulation and in real applications. This text will be of considerable interest to researchers interested in optimal control and its applications in operations research, applied mathematics computational intelligence and engineering. Graduate students working in control and operations research will also find the ideas presented here to be a source of powerful methods for furthering their study.

Advances in Discrete Time Systems

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Publisher : BoD – Books on Demand
ISBN 13 : 9535108751
Total Pages : 260 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Advances in Discrete Time Systems by : Magdi Mahmoud

Download or read book Advances in Discrete Time Systems written by Magdi Mahmoud and published by BoD – Books on Demand. This book was released on 2012-12-05 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings about the contemporary results in the field of discrete-time systems. It covers papers written on the topics of robust control, nonlinear systems and recent applications. Although the technical views are different, they all geared towards focusing on the up-to-date knowledge gain by the researchers and providing effective developments along the systems and control arena. Each topic has a detailed discussions and suggestions for future perusal by interested investigators.

Discrete Time Systems

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Publisher : BoD – Books on Demand
ISBN 13 : 9533072008
Total Pages : 541 pages
Book Rating : 4.5/5 (33 download)

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Book Synopsis Discrete Time Systems by : Mario Alberto Jordán

Download or read book Discrete Time Systems written by Mario Alberto Jordán and published by BoD – Books on Demand. This book was released on 2011-04-26 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete-Time Systems comprehend an important and broad research field. The consolidation of digital-based computational means in the present, pushes a technological tool into the field with a tremendous impact in areas like Control, Signal Processing, Communications, System Modelling and related Applications. This book attempts to give a scope in the wide area of Discrete-Time Systems. Their contents are grouped conveniently in sections according to significant areas, namely Filtering, Fixed and Adaptive Control Systems, Stability Problems and Miscellaneous Applications. We think that the contribution of the book enlarges the field of the Discrete-Time Systems with signification in the present state-of-the-art. Despite the vertiginous advance in the field, we also believe that the topics described here allow us also to look through some main tendencies in the next years in the research area.

Adaptive Control

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Publisher : Springer Science & Business Media
ISBN 13 : 0857296647
Total Pages : 595 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Adaptive Control by : Ioan Doré Landau

Download or read book Adaptive Control written by Ioan Doré Landau and published by Springer Science & Business Media. This book was released on 2011-06-06 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive Control (second edition) shows how a desired level of system performance can be maintained automatically and in real time, even when process or disturbance parameters are unknown and variable. It is a coherent exposition of the many aspects of this field, setting out the problems to be addressed and moving on to solutions, their practical significance and their application. Discrete-time aspects of adaptive control are emphasized to reflect the importance of digital computers in the application of the ideas presented. The second edition is thoroughly revised to throw light on recent developments in theory and applications with new chapters on: multimodel adaptive control with switching, direct and indirect adaptive regulation and adaptive feedforward disturbance compensation. Many algorithms are newly presented in MATLAB® m-file format to facilitate their employment in real systems. Classroom-tested slides for instructors to use in teaching this material are also now provided. All of this supplementary electronic material can be downloaded from fill in URL. The core material is also up-dated and re-edited to keep its perspective in line with modern ideas and more closely to associate algorithms with their applications giving the reader a solid grounding in: synthesis and analysis of parameter adaptation algorithms, recursive plant model identification in open and closed loop, robust digital control for adaptive control; • robust parameter adaptation algorithms, practical considerations and applications, including flexible transmission systems, active vibration control and broadband disturbance rejection and a supplementary introduction on hot dip galvanizing and a phosphate drying furnace. Control researchers and applied mathematicians will find Adaptive Control of significant and enduring interest and its use of example and application will appeal to practitioners working with unknown- and variable-parameter plant. Praise for the first edition: ...well written, interesting and easy to follow, so that it constitutes a valuable addition to the monographies in adaptive control for discrete-time linear systems... suitable (at least in part) for use in graduate courses in adaptive control.

Adaptive Control Systems

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Publisher : CRC Press
ISBN 13 : 9780824776503
Total Pages : 552 pages
Book Rating : 4.7/5 (765 download)

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Book Synopsis Adaptive Control Systems by : Chalam

Download or read book Adaptive Control Systems written by Chalam and published by CRC Press. This book was released on 1987-04-29 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: impossible to access. It has been widely scattered in papers, reports, and proceedings ofsymposia, with different authors employing different symbols and terms. But now thereis a book that covers all aspects of this dynamic topic in a systematic manner.Featuring consistent terminology and compatible notation, and emphasizing unifiedstrategies, Adaptive Control Systems provides a comprehensive, integrated accountof basic concepts, analytical tools, algorithms, and a wide variety of application trendsand techniques.Adaptive Control Systems deals not only with the two principal approachesmodelreference adaptive control and self-tuning regulators-but also considers otheradaptive strategies involving variable structure systems, reduced order schemes, predictivecontrol, fuzzy logic, and more. In addition, it highlights a large number of practical applicationsin a range of fields from electrical to biomedical and aerospace engineering ...and includes coverage of industrial robots.The book identifies current trends in the development of adaptive control systems ...delineates areas for further research .: . and provides an invaluable bibliography of over1,200 references to the literature.The first authoritative reference in this important area of work, Adaptive ControlSystems is an essential information source for electrical and electronics, R&D, chemical, mechanical, aerospace, biomedical, metallurgical, marine, transportation, andpower plant engineers. It is also useful as a text in professional society seminars and inhousetraining programs for personnel involved with the control of complex systems, andfor graduate students engaged in the study of adaptive control systems.

Functional Adaptive Control

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Publisher : Springer Science & Business Media
ISBN 13 : 9781852334383
Total Pages : 292 pages
Book Rating : 4.3/5 (343 download)

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Book Synopsis Functional Adaptive Control by : Simon Fabri

Download or read book Functional Adaptive Control written by Simon Fabri and published by Springer Science & Business Media. This book was released on 2001-02-28 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique in its systematic approach to stochastic systems, this book presents a wide range of techniques that lead to novel strategies for effecting intelligent control of complex systems that are typically characterised by uncertainty, nonlinear dynamics, component failure, unpredictable disturbances, multi-modality and high dimensional spaces.

Advanced Methods in Adaptive Control for Industrial Applications

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Publisher : Springer
ISBN 13 :
Total Pages : 354 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advanced Methods in Adaptive Control for Industrial Applications by : Kevin Warwick

Download or read book Advanced Methods in Adaptive Control for Industrial Applications written by Kevin Warwick and published by Springer. This book was released on 1991 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete-Time Inverse Optimal Control for Nonlinear Systems

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Author :
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Discrete-Time Inverse Optimal Control for Nonlinear Systems by : Edgar Sanchez

Download or read book Discrete-Time Inverse Optimal Control for Nonlinear Systems written by Edgar Sanchez and published by . This book was released on 2016 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete-Time Inverse Optimal Control for Nonlinear Systems proposes a novel inverse optimal control scheme for stabilization and trajectory tracking of discrete-time nonlinear systems. This avoids the need to solve the associated Hamilton-Jacobi-Bellman equation and minimizes a cost functional, resulting in a more efficient controller. Design More Efficient Controllers for Stabilization and Trajectory Tracking of Discrete-Time Nonlinear Systems The book presents two approaches for controller synthesis: the first based on passivity theory and the second on a control Lyapunov function (CLF). The synthesized discrete-time optimal controller can be directly implemented in real-time systems. The book also proposes the use of recurrent neural networks to model discrete-time nonlinear systems. Combined with the inverse optimal control approach, such models constitute a powerful tool to deal with uncertainties such as unmodeled dynamics and disturbances. Learn from Simulations and an In-Depth Case Study The authors include a variety of simulations to illustrate the effectiveness of the synthesized controllers for stabilization and trajectory tracking of discrete-time nonlinear systems. An in-depth case study applies the control schemes to glycemic control in patients with type 1 diabetes mellitus, to calculate the adequate insulin delivery rate required to prevent hyperglycemia and hypoglycemia levels. The discrete-time optimal and robust control techniques proposed can be used in a range of industrial applications, from aerospace and energy to biomedical and electromechanical systems. Highlighting optimal and efficient control algorithms, this is a valuable resource for researchers, engineers, and students working in nonlinear system control.

A Computer-oriented Study of Performance Feedback in Sampled-data Control Systems

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Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis A Computer-oriented Study of Performance Feedback in Sampled-data Control Systems by : John Paul Mantey

Download or read book A Computer-oriented Study of Performance Feedback in Sampled-data Control Systems written by John Paul Mantey and published by . This book was released on 1964 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research is concerned with the development of computer-oriented procedures for the design of sampled data control systems. Two general areas of this problem are considered: the synthesis of optimal controllers having low dynamical order, and the design of adaptive control systems. The performance of the system is evaluated in terms of a quantitative performance criterion. Two new performance criteria are developed; the meanquadratic-error criterion and the average rate-of-decay criterion. Since the primary requirement of a dynamical system is stability, these criteria are examined in terms of the theorems from Liapunov's direct method of stability analysis. The analysis of the rate criterion may be applied to nonlinear as well as linear systems. Included in the discussion are illustrations on how some of the qualitative performance criteria, such as 'good' transient response, may be satisfied through proper selection of the mathematical performance criterion. The optimization procedures are based upon the concept of performance feedback in which the evaluated performance of the system is used directly in the adjustment of the system parameters.

Control and Dynamic Systems V56: Digital and Numeric Techniques and Their Application in Control Systems

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Publisher : Academic Press
ISBN 13 : 0323163270
Total Pages : 593 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Control and Dynamic Systems V56: Digital and Numeric Techniques and Their Application in Control Systems by : C.T. Leonides

Download or read book Control and Dynamic Systems V56: Digital and Numeric Techniques and Their Application in Control Systems written by C.T. Leonides and published by Academic Press. This book was released on 2012-12-02 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems: Advances in Theory and Applications, Volume 56: Digital and Numeric Techniques and their Applications in Control Systems, Part 2 of 2 covers the significant developments in digital and numerical techniques for the analysis and design of modern complex control systems. This volume is composed of 12 chapters and starts with a description of the design techniques of linear constrained discrete-time control systems. The subsequent chapters describe the techniques dealing with robust real-time system identification, the adaptive control algorithms, and the utilization of methods from generalized interpolation and operator theory to deal with a wide range of problems in robust control. These topics are followed by reviews f the decentralized control design for interconnected uncertain systems; the computation of frequency response of descriptor systems by rational interpolation; the techniques for the synthesis of multivariable feedback control laws; and the effect of the initial condition in state estimation for discrete-time linear systems. Other chapters illustrate practical, efficient, and reliable numerical algorithms for robust multivariable control design of linear time-invariant systems, as well as a complete analysis of closed-loop transfer recovery in discrete-time systems using observer-based controllers. The last chapters provide the techniques in robust policy-making in the global economic environment and the implications of robust control techniques for continuous-time systems. This book will prove useful to process, control, systems, and design engineers.

Optimization of Stochastic Systems

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Publisher : Academic Press
ISBN 13 : 0080955398
Total Pages : 374 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Optimization of Stochastic Systems by : Masanao Aoki

Download or read book Optimization of Stochastic Systems written by Masanao Aoki and published by Academic Press. This book was released on 1967-01-01 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization of Stochastic Systems is an outgrowth of class notes of a graduate level seminar on optimization of stochastic systems. Most of the material in the book was taught for the first time during the 1965 Spring Semester while the author was visiting the Department of Electrical Engineering, University of California, Berkeley. The revised and expanded material was presented at the Department of Engineering, University of California, Los Angeles during the 1965 Fall Semester. The systems discussed in the book are mostly assumed to be of discrete-time type with continuous state variables taking values in some subsets of Euclidean spaces. There is another class of systems in which state variables are assumed to take on at most a denumerable number of values, i.e., these systems are of discrete-time discrete-space type. Although the problems associated with the latter class of systems are many and interesting, andalthough they are amenable to deep analysis on such topics as the limiting behaviors of state variables as time indexes increase to infinity, this class of systems is not included here, partly because there are many excellent books on the subjects and partly because inclusion of these materials would easily double the size of the book.

Theory of Games and Statistical Decisions

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Publisher : Courier Corporation
ISBN 13 : 0486150895
Total Pages : 388 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Theory of Games and Statistical Decisions by : David A. Blackwell

Download or read book Theory of Games and Statistical Decisions written by David A. Blackwell and published by Courier Corporation. This book was released on 2012-06-14 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evaluating statistical procedures through decision and game theory, as first proposed by Neyman and Pearson and extended by Wald, is the goal of this problem-oriented text in mathematical statistics. First-year graduate students in statistics and other students with a background in statistical theory and advanced calculus will find a rigorous, thorough presentation of statistical decision theory treated as a special case of game theory. The work of Borel, von Neumann, and Morgenstern in game theory, of prime importance to decision theory, is covered in its relevant aspects: reduction of games to normal forms, the minimax theorem, and the utility theorem. With this introduction, Blackwell and Professor Girshick look at: Values and Optimal Strategies in Games; General Structure of Statistical Games; Utility and Principles of Choice; Classes of Optimal Strategies; Fixed Sample-Size Games with Finite Ω and with Finite A; Sufficient Statistics and the Invariance Principle; Sequential Games; Bayes and Minimax Sequential Procedures; Estimation; and Comparison of Experiments. A few topics not directly applicable to statistics, such as perfect information theory, are also discussed. Prerequisites for full understanding of the procedures in this book include knowledge of elementary analysis, and some familiarity with matrices, determinants, and linear dependence. For purposes of formal development, only discrete distributions are used, though continuous distributions are employed as illustrations. The number and variety of problems presented will be welcomed by all students, computer experts, and others using statistics and game theory. This comprehensive and sophisticated introduction remains one of the strongest and most useful approaches to a field which today touches areas as diverse as gambling and particle physics.

Adaptive Optimal Tracking of Uncertain Discrete-time Systems

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Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (132 download)

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Book Synopsis Adaptive Optimal Tracking of Uncertain Discrete-time Systems by : Bahare Kiumarsi Khomartash

Download or read book Adaptive Optimal Tracking of Uncertain Discrete-time Systems written by Bahare Kiumarsi Khomartash and published by . This book was released on 2019 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal feedback control design has been responsible for much of the successful performance of engineered systems in aerospace, manufacturing, industrial processes, vehicles, ships, robotics, and elsewhere. Although most control design methods concern only about the stability of the controlled systems, the stability is a bare minimum requirement and it is desired to design a controller by optimizing some predefined performance criteria. However, the classical optimal control methods rely on offline solutions to complicated Hamilton-Jacobi-Bellman (HJB)equations which require complete knowledge about the system dynamics. Therefore, they are not able to cope with uncertainties and changes in dynamics. This research presents adaptive control structures based on reinforcement learning (RL) for computing online the solutions to H2 optimal tracking and H∞ control of single-agent systems and optimal coordination of multi-agent systems. A family of adaptive controllers is designed that converge in real time to optimal control and game theoretic solutions by using data measured along the system trajectories. First, an alternative approach for formulating the optimal tracking problem in a causal manner is developed that enables us to use RL to find the optimal solutions. On-policy RL is used to solve linear and nonlinear H2 optimal control problems. In contrast to the existing methods, the proposed approach for nonlinear systems takes into account the input constraints in the optimization problem by using a non quadratic performance function. Then, a new model-free method of off-policy learning is presented to find the solution to the H∞ control problem online in real-time. The proposed method has two main advantages compared to the other mode-free methods. First, the disturbance input does not need to be adjusted in a specific manner. This makes it more practical as the disturbance cannot be specified in most real-world applications. Second, there is no bias as a result of adding a probing noise to the control input to maintain persistence of excitation (PE) condition. Finally, an optimal mode-free solution to the output synchronization problem of heterogeneous discrete-time systems is developed. It is shown that this control protocol implicitly solves the output regulator equations. The relationship between the solution to the output regulator equations and the proposed solution is also shown.

Adaptive Control Systems

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Author :
Publisher : Routledge
ISBN 13 : 1351468979
Total Pages : 391 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Adaptive Control Systems by : Chalam

Download or read book Adaptive Control Systems written by Chalam and published by Routledge. This book was released on 2017-10-19 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: impossible to access. It has been widely scattered in papers, reports, and proceedings ofsymposia, with different authors employing different symbols and terms. But now thereis a book that covers all aspects of this dynamic topic in a systematic manner.Featuring consistent terminology and compatible notation, and emphasizing unifiedstrategies, Adaptive Control Systems provides a comprehensive, integrated accountof basic concepts, analytical tools, algorithms, and a wide variety of application trendsand techniques.Adaptive Control Systems deals not only with the two principal approachesmodelreference adaptive control and self-tuning regulators-but also considers otheradaptive strategies involving variable structure systems, reduced order schemes, predictivecontrol, fuzzy logic, and more. In addition, it highlights a large number of practical applicationsin a range of fields from electrical to biomedical and aerospace engineering ...and includes coverage of industrial robots.The book identifies current trends in the development of adaptive control systems ...delineates areas for further research . : . and provides an invaluable bibliography of over1,200 references to the literature.The first authoritative reference in this important area of work, Adaptive ControlSystems is an essential information source for electrical and electronics, R&D,chemical, mechanical, aerospace, biomedical, metallurgical, marine, transportation, andpower plant engineers. It is also useful as a text in professional society seminars and inhousetraining programs for personnel involved with the control of complex systems, andfor graduate students engaged in the study of adaptive control systems.