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Stability And Convergence Of Adaptive Control Algorithms
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Book Synopsis Adaptive Control by : Shankar Sastry
Download or read book Adaptive Control written by Shankar Sastry and published by Courier Corporation. This book was released on 2011-01-01 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume surveys the major results and techniques of analysis in the field of adaptive control. Focusing on linear, continuous time, single-input, single-output systems, the authors offer a clear, conceptual presentation of adaptive methods, enabling a critical evaluation of these techniques and suggesting avenues of further development. 1989 edition.
Book Synopsis Stability and Convergence of Adaptive Control Algorithms by : Lena S. Valavani
Download or read book Stability and Convergence of Adaptive Control Algorithms written by Lena S. Valavani and published by . This book was released on 1980 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although adaptive controllers have been designed for a number of years, the central question of global asymptotic stability of the overall feedback adaptive loop and its associated error equations remained open until recently. The two main approaches used to design controllers from a stability viewpoint - Lyapunov's Direct Method and Popov's Hyperstability Theory - only assure boundedness of the (augmented) state and parameter errors. The difficulties encountered in both approaches are analyzed and shown to be exactly analogous. Subsequently, a generic model for an adaptive controller is proposed from which already existing adaptive algorithms can be derived with minor modifications. The model unifies various algorithms, under the essential requirement for positive reality of the associated error transfer function, and its proof of stability contains others suggested to date as special cases. Finally some general comments are made regarding rates of convergence, performance of the algorithms in the presence of disturbances and unmodeled dynamics, ease of implementation, etc. (Author).
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.
Book Synopsis Robust Adaptive Control by : Petros Ioannou
Download or read book Robust Adaptive Control written by Petros Ioannou and published by Courier Corporation. This book was released on 2013-09-26 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presented in a tutorial style, this comprehensive treatment unifies, simplifies, and explains most of the techniques for designing and analyzing adaptive control systems. Numerous examples clarify procedures and methods. 1995 edition.
Book Synopsis Model Free Adaptive Control by : Zhongsheng Hou
Download or read book Model Free Adaptive Control written by Zhongsheng Hou and published by CRC Press. This book was released on 2013-09-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model Free Adaptive Control: Theory and Applications summarizes theory and applications of model-free adaptive control (MFAC). MFAC is a novel adaptive control method for the unknown discrete-time nonlinear systems with time-varying parameters and time-varying structure, and the design and analysis of MFAC merely depend on the measured input and output data of the controlled plant, which makes it more applicable for many practical plants. This book covers new concepts, including pseudo partial derivative, pseudo gradient, pseudo Jacobian matrix, and generalized Lipschitz conditions, etc.; dynamic linearization approaches for nonlinear systems, such as compact-form dynamic linearization, partial-form dynamic linearization, and full-form dynamic linearization; a series of control system design methods, including MFAC prototype, model-free adaptive predictive control, model-free adaptive iterative learning control, and the corresponding stability analysis and typical applications in practice. In addition, some other important issues related to MFAC are also discussed. They are the MFAC for complex connected systems, the modularized controller designs between MFAC and other control methods, the robustness of MFAC, and the symmetric similarity for adaptive control system design. The book is written for researchers who are interested in control theory and control engineering, senior undergraduates and graduated students in engineering and applied sciences, as well as professional engineers in process control.
Book Synopsis Virtual Equivalent System Approach for Stability Analysis of Model-based Control Systems by : Weicun Zhang
Download or read book Virtual Equivalent System Approach for Stability Analysis of Model-based Control Systems written by Weicun Zhang and published by Springer Nature. This book was released on 2020-06-05 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book puts forward the concept of a virtual equivalent system (VES) based on theoretical analysis and simulation results. The new concept will facilitate the development of a unified framework for analyzing the stability and convergence of self-tuning control (STC) systems, and potentially, of all adaptive control systems. The book then shows that a time-varying STC system can be converted into a time-invariant system using a certain nonlinear compensation signal, which reduces the complexity and difficulty of stability and convergence analysis. In closing, the VES concept and methodology are used to assess the stability of multiple model adaptive control (MMAC) systems and T-S model-based fuzzy control systems.
Book Synopsis Applications of Adaptive Control by : Kumpati S. Narendra
Download or read book Applications of Adaptive Control written by Kumpati S. Narendra and published by Elsevier. This book was released on 2012-12-02 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control Applications of Adaptive covers the proceedings of the 197 Workshop on Applications of Adaptive Control, held in Yale University. This book is organized into five parts encompassing 18 chapters that summarize the potential application of adaptive control to many practical problems. Part I contains tutorials that bring together important result s in two of the most studied approaches to adaptive control, namely, self-tuning regulators and model reference adaptive control (MRAC), with a particular emphasis on the importance of error models in the stability analysis of MRAC. Part II examines the algorithms used for adaptive signal processing, while Part III describes the types of power systems problems that could benefit from application of adaptive control and how to apply adaptive control algorithms for controlling large electric generators. Part IV highlights adaptive control in aircraft systems. This part also considers how adaptive control fell into disfavor in the flight control community, illustrating the existence of residual negative bias. The desirability of cost elimination of air data sensors in less-sophisticated flight control systems is also discussed. Part V addresses the application of process control to chemical processes and to electromechanical systems. This part also shows the robustness and superior tracking and regulation properties of model reference adaptive control applied to liquid level control. Discussion on various classes of model reference adaptive controllers in a common framework from the viewpoint of microcomputer implementation is also included. This book will be of value to control system theorists and practitioners.
Book Synopsis Stability of Adaptive Controllers by : B. Egardt
Download or read book Stability of Adaptive Controllers written by B. Egardt and published by Springer. This book was released on 1979-09 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Direct Adaptive Control Algorithms: by : Howard Kaufman
Download or read book Direct Adaptive Control Algorithms: written by Howard Kaufman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable either as a reference or as a text for a graduate course in adaptive control systems, this book is a self-contained compendium of easily implementable adaptive control algorithms that have been developed and applied by the authors for over 10 years. These algorithms do not require explicit process parameter identification and have been successfully applied to a wide variety of engineering problems including flexible structure control, blood pressure control and robotics. In general, these algorithms are suitable for a wide class of multiple input-output control systems containing significant uncertainty as well as disturbances.
Book Synopsis Adaptive Control by : Rogelio Lozano
Download or read book Adaptive Control written by Rogelio Lozano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive Control provides techniques for automatic, real-time adjustments in controller parameters with a view to achieving and/or maintaining a desirable level of system performance in the presence of unknown or variable process parameters. Many aspects of the field are dealt with in coherent and orderly fashion, starting with the problems posed by system uncertainties and moving on to the presentation of solutions and their practical significance. Within the general context of recent developments, the book looks at: • synthesis and analysis of parameter adaptation algorithms; • recursive plant-model identification in open and closed loop; • robust digital control for adaptive control; • direct and indirect adaptive control; and • practical aspects and applications. To reflect the importance of digital computers for the application of adaptive control techniques, discrete-time aspects are emphasized. To guide the reader, the book contains various applications of adaptive control techniques.
Book Synopsis Adaptive Control Systems by : Gang Feng
Download or read book Adaptive Control Systems written by Gang Feng and published by Elsevier. This book was released on 1999-05-10 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive control is no longer just an important theoretical field of study, but is also providing solutions to real-world problems. Adaptive techniques will transform the world of control. The leading world practitioners of adaptive control have contributed to this handbook which is the most important work yet in this field. Not only are techniques described in theory, but detailed control algorithms are given, making this a practical cookbook of adaptive control for both control professionals and practising engineers.The book presents the most advanced techniques and algorithms of adaptive control. These include various robust techniques, performance enhancement techniques, techniques with less a-priori knowledge, nonlinear adaptive control techniques and intelligent adaptive techniques. Each technique described has been developed to provide a practical solution to a real-life problem. This volume will therefore not only advance the field of adaptive control as an area of study, but will also show how the potential of this technology can be realised and offer significant benefits. Practical cookbook of adaptive control Contains important research
Book Synopsis Stable Adaptive Systems by : Kumpati S. Narendra
Download or read book Stable Adaptive Systems written by Kumpati S. Narendra and published by Courier Corporation. This book was released on 2012-07-12 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text focuses on the stability of adaptive systems, and offers a thorough understanding of the global stability properties essential to designing adaptive systems. Its self-contained, unified presentation of well-known results establishes the close connections between seemingly independent developments in the field. Prerequisites include a knowledge of linear algebra and differential equations, as well as a familiarity with basic concepts in linear systems theory. The first chapter sets the tone for the entire book, introducing basic concepts and tracing the evolution of the field from the 1960s through the 1980s. The first seven chapters are accessible to beginners, and the final four chapters are geared toward more advanced, research-oriented students. Problems ranging in complexity from relatively easy to quite difficult appear throughout the text. Topics include results in stability theory that emphasize incidents directly relevant to the study of adaptive systems; the stability properties of adaptive observers and controllers; the important concept of persistent excitation; the use of error models in systems analysis; areas of intense research activity; and five detailed case studies of systems in which adaptive control has proved successful
Book Synopsis Almost Sure Convergence of Adaptive Identification Prediction and Control Algorithms by : Rājendra Kumāra
Download or read book Almost Sure Convergence of Adaptive Identification Prediction and Control Algorithms written by Rājendra Kumāra and published by . This book was released on 1981 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is concerned with the almost sure convergence of the adaptive parameter estimation, N-step ahead prediction and control algorithms based upon standard least square algorithm. With the usual stability and passivity assumptions for the prediction problem, it is demonstrated that the state estimation and the N-step ahead prediction errors converge to the optimum such errors achievable with known plant parameters, in the Cesaro sense. An additional regularity assumption on the signal model establishes the result that the state estimation and prediction errors also converge in the strong sense at an asymptotically arithmetic rate. Under an additional persistency of excitation condition it is shown that the parameter estimation error converges to zero at a rate specified by the degree of excitation. The persistency of excitation condition being of a trivial nature is also necessary condition for parameter convergence. With the regularity condition holding, the convergence is also established for the adaptive control algorithms, e.g. self tuning regulators under the usual minimum phase restriction on the plant. In this case, the tracking error equals the N-step ahead prediction error and thus converges to its optimum value at an asymptotically arithmetic rate. (Author).
Book Synopsis Adaptive Stabilization of Linear Systems Via Switching Control by : Minyue Fu
Download or read book Adaptive Stabilization of Linear Systems Via Switching Control written by Minyue Fu and published by . This book was released on 1987 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Adaptive Signal Processing Algorithms by : Victor Solo
Download or read book Adaptive Signal Processing Algorithms written by Victor Solo and published by . This book was released on 1995 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although there has been considerable research activity in the theoretical study of ASP (and Adaptive Control) algorithms in recent years, most of the available literature has touched only briefly on performance analysis. This volume fills that gap by exploring the analysis of behavior (i.e., stability and performance) of Adaptive Signal Processing (ASP) algorithms -- discussing general methods of algorithm construction and general methods of algorithm analysis. Part I introduces ASP through its applications, shows how to construct ASP algorithms, and gives a detailed global stability and performance analysis in both deterministic and stochastic settings. Part II explores deterministic stability analysis by means of averaging methods, which are necessary to handle more complicated algorithms. Part III treats stochastic stability and performance by averaging methods. For practitioners and researchers in signal processing, communication and control.
Book Synopsis Adaptive Control Tutorial by : Petros Ioannou
Download or read book Adaptive Control Tutorial written by Petros Ioannou and published by SIAM. This book was released on 2006-01-01 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the design, analysis, and application of a wide variety of algorithms that can be used to manage dynamical systems with unknown parameters.
Book Synopsis Adaptive Systems in Control and Signal Processing 1983 by : I. D. Landau
Download or read book Adaptive Systems in Control and Signal Processing 1983 written by I. D. Landau and published by Elsevier. This book was released on 2014-06-28 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive Systems in Control and Signal Processing 1983 is a compendium of papers presented at the International Federation of Automatic Control in San Francisco on June 20-22, 1983. One paper addresses the results through comparative alternative algorithms in adaptive control of linear time invariant and time varying systems. Another paper presents a method in computer simulation of a wide range of stable plants to achieve an alternative approach in designing an adaptive control system. The book also compares the stability and the sensitivity approach involving the design of model-reference adaptive systems. The authors involved explain that the sensitivity concept determines the "dynamic speed of adaptation," while the stability concept focuses on finding a linear compensator for any deviant signal. One paper proposes an indirect adaptive control algorithm for MIMO square full rank minimum phase systems, while another paper discusses the application of the discrete time multivariable adaptive control system, to non-minimum phase plants with an unknown dead time. This book can prove valuable to engineers and researchers of electrical, computer, and mechanical engineering. It can also be helpful for technicians and students dealing with automatic control and telecontrol.
