Nonlinear Control Systems
Subtitle: An Introduction
By: by Alberto Isidori
Edition: 2nd Edition.
Series: Communications and Control Engineering Series; Communications and Control Engineering Series
Publisher: Springer Berlin Heidelberg
Published: 1989
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 479
ISBN-13: 9783662025833; 9783662025819
Subjects: Telecommunication; Software engineering; Systems theory; Engineering; Microprogramming; Computer science; Mathematical optimization; Physics
Description: This book introduces nonlinear control systems at a level suitable for graduate students and researchers. Chapter 1 introduces invariant distributions, a fundamental tool in the analysis of the internal structure of nonlinear systems. It is shown that a nonlinear system locally exhibits decompositions into parts similar to those introduced by Kalman for linear systems. Chapter 2 explains to what extent global decompositions may exist, corresponding to a partition of the whole state space into lower dimensional subsets. Chapter 3 describes various formats in which the input-output map of a nonlinear system may be represented, and provides a short description of the fundamentals of realization theory. Chapter 4 illustrates how a series of relevant design problems can be solved for a single-input single-output nonlinear system. It explains how a system can be transformed into a linear and controllable one, discusses the role of the nonlinear analogue of the notion of "zero", and describes the problem of asymptotic tracking, model matching and disturbance decoupling. Chapter 5 covers similar subjects for those multivariable nonlinear systems which can be rendered noninteractive by means of static state feedback, and Chapters 6 and 7 are devoted to control via dynamic feedback for a broader class of multivariable nonlinear systems. The book was first published in 1985 as Volume 72 in the series Lecture Notes in Control and Information Sciences. The new edition has been thoroughly revised and furnished with examples and exercises at the end of each chapter.
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Table of contents: title: Contents: Local Decompositions of Control Systems; title: Global Decompositions of Control Systems; title: Input-Output Maps and Realization Theory; title: Elementary Theory of Nonlinear Feedback for Single-Input Single-Output Systems; title: Elementary Theory of Nonlinear Feedback for Multi-Input Multi-Output Systems; title: Geometric Theory of State Feedback: Tools; title: Geometric Theory of State Feedback: Applications; title: Appendix A; title: Appendix B; title: Bibliographical Notes; title: References; title: Subject Index.