Essentials of Nonlinear Control Theory

Essentials of Nonlinear Control Theory

Author: James R. Leigh

Publisher: IET

Published: 1983

Total Pages: 108

ISBN-13: 9780906048962

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The following topics are dealt with: nonlinearity: dynamic systems; describing function method; phase plane portrait; linearisation ;nonlinear second-order system linearisation; envelope methods; Limit cycles; relaxation oscillations; Lienard's equation; gradient systems and system decomposition.


Nonlinear Control Systems

Nonlinear Control Systems

Author: Alberto Isidori

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 557

ISBN-13: 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 Theory

Nonlinear and Optimal Control Theory

Author: Andrei A. Agrachev

Publisher: Springer

Published: 2008-06-24

Total Pages: 368

ISBN-13: 3540776532

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The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the whole volume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems.


Nonlinear Control Systems

Nonlinear Control Systems

Author: Horacio Márquez

Publisher: Wiley-Interscience

Published: 2003-04-25

Total Pages: 376

ISBN-13: 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

Published: 2012-12-06

Total Pages: 320

ISBN-13: 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.


Applied Nonlinear Control

Applied Nonlinear Control

Author: Jean-Jacques E. Slotine

Publisher:

Published: 1991

Total Pages: 461

ISBN-13: 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 Systems

Nonlinear Systems

Author: Shankar Sastry

Publisher: Springer Science & Business Media

Published: 2013-04-18

Total Pages: 690

ISBN-13: 1475731086

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There has been much excitement over the emergence of new mathematical techniques for the analysis and control of nonlinear systems. In addition, great technological advances have bolstered the impact of analytic advances and produced many new problems and applications which are nonlinear in an essential way. This book lays out in a concise mathematical framework the tools and methods of analysis which underlie this diversity of applications.


Nonlinear Control Systems and Power System Dynamics

Nonlinear Control Systems and Power System Dynamics

Author: Qiang Lu

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 398

ISBN-13: 1475733127

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Nonlinear Control Systems and Power System Dynamics presents a comprehensive description of nonlinear control of electric power systems using nonlinear control theory, which is developed by the differential geometric approach and nonlinear robust control method. This book explains in detail the concepts, theorems and algorithms in nonlinear control theory, illustrated by step-by-step examples. In addition, all the mathematical formulation involved in deriving the nonlinear control laws of power systems are sufficiently presented. Considerations and cautions involved in applying nonlinear control theory to practical engineering control designs are discussed and special attention is given to the implementation of nonlinear control laws using microprocessors. Nonlinear Control Systems and Power System Dynamics serves as a text for advanced level courses and is an excellent reference for engineers and researchers who are interested in the application of modern nonlinear control theory to practical engineering control designs.


Nonlinear and Optimal Control Systems

Nonlinear and Optimal Control Systems

Author: Thomas L. Vincent

Publisher: John Wiley & Sons

Published: 1997-06-23

Total Pages: 584

ISBN-13: 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.