Nonlinear Control Systems: An Introduction

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Edition: 1

Series: Lecture Notes in Control and Information Sciences

ISBN: 3540155953, 9783540155959

Size: 9 MB (8925923 bytes)

Pages: 303/303

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Alberto Isidori3540155953, 9783540155959

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. – This text refers to an out of print or unavailable edition of this title.

Table of contents :
front-matter……Page 1
1Local decompositions of control systems……Page 7
2Global decompositions of control systems……Page 61
3Input-output maps and realization theory……Page 89
4Disturbance decoupling and non interacting control……Page 130
5Exact linearization methods……Page 184
back-matter……Page 260

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