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Applied Nonlinear Control

Applied Nonlinear Control
Author: Jean-Jacques E. Slotine
Publisher:
Total Pages: 461
Release: 1991
Genre: Automatic control
ISBN: 9780130400499

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In this work, the authors present a global perspective on the methods available for analysis and design of non-linear control systems and detail specific applications. They provide a tutorial exposition of the major non-linear systems analysis techniques followed by a discussion of available non-linear design methods.


Nonlinear Control Systems

Nonlinear Control Systems
Author: Alberto Isidori
Publisher: Springer Science & Business Media
Total Pages: 557
Release: 2013-04-17
Genre: Technology & Engineering
ISBN: 1846286158

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The purpose of this book is to present a self-contained description of the fun damentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach. The book is intended as a graduate text as weil as a reference to scientists and engineers involved in the analysis and design of feedback systems. The first version of this book was written in 1983, while I was teach ing at the Department of Systems Science and Mathematics at Washington University in St. Louis. This new edition integrates my subsequent teaching experience gained at the University of Illinois in Urbana-Champaign in 1987, at the Carl-Cranz Gesellschaft in Oberpfaffenhofen in 1987, at the University of California in Berkeley in 1988. In addition to a major rearrangement of the last two Chapters of the first version, this new edition incorporates two additional Chapters at a more elementary level and an exposition of some relevant research findings which have occurred since 1985.


Nonlinear and Optimal Control Systems

Nonlinear and Optimal Control Systems
Author: Thomas L. Vincent
Publisher: John Wiley & Sons
Total Pages: 584
Release: 1997-06-23
Genre: Science
ISBN: 9780471042358

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Designed for one-semester introductory senior-or graduate-level course, the authors provide the student with an introduction of analysis techniques used in the design of nonlinear and optimal feedback control systems. There is special emphasis on the fundamental topics of stability, controllability, and optimality, and on the corresponding geometry associated with these topics. Each chapter contains several examples and a variety of exercises.


Introduction to Nonlinear Control

Introduction to Nonlinear Control
Author: Christopher M. Kellett
Publisher: Princeton University Press
Total Pages: 552
Release: 2023-06-27
Genre: Mathematics
ISBN: 0691240493

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An introductory text on the analysis, control, and estimation of nonlinear systems, appropriate for advanced undergraduate and graduate students This self-contained and accessible introduction to the concepts and techniques used for nonlinear feedback systems offers a holistic treatment suitable for use in both advanced undergraduate and graduate courses; students need only some familiarity with differential equations and linear algebra to understand the material presented. The text begins with an overview of stability and Lyapunov methods for nonlinear systems, with Lyapunov’s second method revisited throughout the book as a connective thread. Other introductory chapters cover linear systems, frequency domain methods, and discrete-time systems. Building on this background material, the book provides a broad introduction to the basic ideas underpinning major themes of research in nonlinear control, including input-to-state stability, sliding mode control, adaptive control, feedback linearization, and robust output regulation. Chapters also cover observer design and estimation for nonlinear systems. The text is notable for its coverage of nonlinear model predictive control and its introduction to the use of linear matrix inequalities and semidefinite programming coupled with their use in modern antiwindup designs. • First text on nonlinear control appropriate for undergraduates • Suitable both for students preparing for rigorous graduate study and for those entering technical fields outside of academia • Unique in its coverage of recent research topics • Pedagogical features including extensive chapter summaries, examples, and appendixes with definitions, results, and MATLAB applications


Analysis and Design of Nonlinear Control Systems

Analysis and Design of Nonlinear Control Systems
Author: Daizhan Cheng
Publisher: Springer Science & Business Media
Total Pages: 551
Release: 2011-03-28
Genre: Science
ISBN: 3642115500

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"Analysis and Design of Nonlinear Control Systems" provides a comprehensive and up to date introduction to nonlinear control systems, including system analysis and major control design techniques. The book is self-contained, providing sufficient mathematical foundations for understanding the contents of each chapter. Scientists and engineers engaged in the field of Nonlinear Control Systems will find it an extremely useful handy reference book. Dr. Daizhan Cheng, a professor at Institute of Systems Science, Chinese Academy of Sciences, has been working on the control of nonlinear systems for over 30 years and is currently a Fellow of IEEE and a Fellow of IFAC, he is also the chairman of Technical Committee on Control Theory, Chinese Association of Automation.


Nonlinear Control Under Nonconstant Delays

Nonlinear Control Under Nonconstant Delays
Author: Nikolaos Bekiaris-Liberis
Publisher: SIAM
Total Pages: 293
Release: 2013-09-25
Genre: Mathematics
ISBN: 1611973171

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The authors have developed a methodology for control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting the internal state of a system. In addition to control synthesis, they introduce tools to quantify the performance and the robustness properties of the designs provided in the book. The book is based on the concept of predictor feedback and infinite-dimensional backstepping transformation for linear systems and the authors guide the reader from the basic ideas of the concept?with constant delays only on the input?all the way through to nonlinear systems with state-dependent delays on the input as well as on system states. Readers will find the book useful because the authors provide elegant and systematic treatments of long-standing problems in delay systems, such as systems with state-dependent delays that arise in many applications. In addition, the authors give all control designs by explicit formulae, making the book especially useful for engineers who have faced delay-related challenges and are concerned with actual implementations and they accompany all control designs with Lyapunov-based analysis for establishing stability and performance guarantees.


Nonlinear Control Systems

Nonlinear Control Systems
Author: Horacio Márquez
Publisher: Wiley-Interscience
Total Pages: 376
Release: 2003-04-25
Genre: Science
ISBN: 9780471427995

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Provides complete coverage of both the Lyapunov and Input-Output stability theories, ina readable, concise manner. * Supplies an introduction to the popular backstepping approach to nonlinear control design * Gives a thorough discussion of the concept of input-to-state stability * Includes a discussion of the fundamentals of feedback linearization and related results. * Details complete coverage of the fundamentals of dissipative system's theory and its application in the so-called L2gain control prooblem, for the first time in an introductory level textbook. * Contains a thorough discussion of nonlinear observers, a very important problem, not commonly encountered in textbooksat this level. *An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.


Constructive Nonlinear Control

Constructive Nonlinear Control
Author: R. Sepulchre
Publisher: Springer Science & Business Media
Total Pages: 320
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1447109678

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Constructive Nonlinear Control presents a broad repertoire of constructive nonlinear designs not available in other works by widening the class of systems and design tools. Several streams of nonlinear control theory are merged and directed towards a constructive solution of the feedback stabilization problem. Analysis, geometric and asymptotic concepts are assembled as design tools for a wide variety of nonlinear phenomena and structures. Geometry serves as a guide for the construction of design procedures whilst analysis provides the robustness which geometry lacks. New recursive designs remove earlier restrictions on feedback passivation. Recursive Lyapunov designs for feedback, feedforward and interlaced structures result in feedback systems with optimality properties and stability margins. The design-oriented approach will make this work a valuable tool for all those who have an interest in control theory.


Nonlinear Dynamical Control Systems

Nonlinear Dynamical Control Systems
Author: Henk Nijmeijer
Publisher: Springer Science & Business Media
Total Pages: 427
Release: 2013-03-14
Genre: Technology & Engineering
ISBN: 1475721013

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This volume deals with controllability and observability properties of nonlinear systems, as well as various ways to obtain input-output representations. The emphasis is on fundamental notions as (controlled) invariant distributions and submanifolds, together with algorithms to compute the required feedbacks.


Absolute Stability of Nonlinear Control Systems

Absolute Stability of Nonlinear Control Systems
Author: Xiao-Xin Liao
Publisher: Springer Science & Business Media
Total Pages: 186
Release: 2013-04-17
Genre: Science
ISBN: 9401706085

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As is well-known, a control system always works under a variety of accidental or continued disturbances. Therefore, in designing and analysing the control system, stability is the first thing to be considered. Classic control theory was basically limited to a discussion of linear systems with constant coefficients. The fundamental tools for such studies were the Routh-Hurwitz algebraic criterion and the Nyquist geometric criterion. However, modern control theory mainly deals with nonlinear problems. The stability analysis of nonlinear control systems based on Liapunov stability theory can be traced back to the Russian school of stability. In 1944, the Russian mathematician Lurie, a specialist in control theory, discussed the stability of an autopilot. The well-known Lurie problem and the concept of absolute stability are presented, which is of universal significance both in theory and practice. Up until the end of the 1950's, the field of absolute stability was monopolized mainly by Russian scholars such as A. 1. Lurie, M. A. Aizeman, A. M. Letov and others. At the beginning of the 1960's, some famous American mathematicians such as J. P. LaSalle, S. Lefschetz and R. E. Kalman engaged themself in this field. Meanwhile, the Romanian scholar Popov presented a well-known frequency criterion and consequently ma de a decisive breakthrough in the study of absolute stability.