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Nonlinear Control Systems

An Algebraic Setting

  • Book
  • © 1999

Overview

Authors:
  1. G. Conte
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  2. C. H. Moog
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  3. A. M. Perdon
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  • The only book of its kind devoted to algebraic methods
  • An accessible book for all with good basic knowledge of standard linear control systems
  • Numerous detailed examples ensure that this is a self-contained, comprehensive book

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 242)

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Table of contents (16 chapters)

  1. Front Matter

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  2. Preliminaries

    Pages 3-16

  3. Modelling

    Pages 17-25

  4. Accessibility

    Pages 27-36

  5. Observability

    Pages 37-49

  6. Systems structure

    Pages 51-58

  7. System transformations

    Pages 59-75

  8. Input/output linearization

    Pages 79-82

  9. Noninteracting control

    Pages 83-87

  10. Input/State linearization

    Pages 89-97

  11. Disturbance decoupling

    Pages 99-103

  12. Model matching

    Pages 105-126

  13. Differential algebraic methods in nonlinear systems theory

    Pages 129-131

  14. State space systems

    Pages 133-142

  15. Input-output systems

    Pages 143-146

  16. Accessibility and observability from a differentially algebraic point of view

    Pages 147-148

  17. Control problems

    Pages 149-150

  18. Back Matter

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About this book

This book provides a unique and alternative approach to the study of nonlinear control systems, with applications. The approach presented is based on the use of algebraic methods which are intrinsically linear, rather than differential geometric methods, which are more commonly found in other reference works on the subject. This allows the exposition to remain simple from a mathematical point of view, and accessible for everyone who has a good understanding of linear control theory. The book is divided into the following three parts: Part 1 is devoted to mathematical preliminaries and to the development of tools and methods for system analysis. Part 2 is concerned with solving specific control problems, including disturbance decoupling, non-interactive control, model matching and feedback linearization problems. Part 3 introduces differential algebraic notions and discusses their applications to nonlinear control and system theory. With numerous examples used to illustrate theoretical results, this self-contained and comprehensive volume will be of interest to all those who have a good basic knowledge of standard linear control systems.

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