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© 2000

L2 - Gain and Passivity Techniques in Nonlinear Control

Book

Part of the Communications and Control Engineering book series (CCE)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Arjan van der Schaft
    Pages 1-9
  3. Arjan van der Schaft
    Pages 11-29
  4. Arjan van der Schaft
    Pages 31-61
  5. Arjan van der Schaft
    Pages 63-123
  6. Arjan van der Schaft
    Pages 125-136
  7. Arjan van der Schaft
    Pages 137-161
  8. Arjan van der Schaft
    Pages 163-192
  9. Arjan van der Schaft
    Pages 193-227
  10. Back Matter
    Pages 229-248

About this book

Introduction

With respect to the first edition as Volume 218 in the Lecture Notes in Con­ trol and Information Sciences series the basic idea of the second edition has remained the same: to provide a compact presentation of some basic ideas in the classical theory of input-output and closed-loop stability, together with a choice of contributions to the recent theory of nonlinear robust and 1foo control and passivity-based control. Nevertheless, some parts of the book have been thoroughly revised and/or expanded, in order to have a more balanced presen­ tation of the theory and to include some of the new developments which have been taken place since the appearance of the first edition. I soon realized, how­ ever, that it is not possible to give a broad exposition of the existing literature in this area without affecting the spirit of the book, which is precisely aimed at a compact presentation. So as a result the second edition still reflects very much my personal taste and research interests. I trust that others will write books emphasizing different aspects. Major changes with respect to the first edition are the following: • A new section has been added in Chapter 2 relating L2-gain and passivity via scattering, emphasizing a coordinate-free, geometric, treatment. • The section on stability in Chapter 3 has been thoroughly expanded, also incorporating some recent results presented in [182J.

Keywords

Nonlinear system control control theory feedback modeling nonlinear control optimal control stability stability theory stabilization system systems theory

Authors and affiliations

  1. 1.Faculty of Mathematical SciencesUniversity of TwenteEnschedeThe Netherlands

Bibliographic information

  • Book Title L2 - Gain and Passivity Techniques in Nonlinear Control
  • Authors Arjan van der Schaft
  • Series Title Communications and Control Engineering
  • DOI https://doi.org/10.1007/978-1-4471-0507-7
  • Copyright Information Springer-Verlag London Limited 2000
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-1-85233-073-6
  • Softcover ISBN 978-1-4471-1154-2
  • eBook ISBN 978-1-4471-0507-7
  • Series ISSN 0178-5354
  • Edition Number 2
  • Number of Pages XII, 248
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published as volume 218 in the series: Lecture Notes in Control
  • Topics Computational Intelligence
    Control, Robotics, Mechatronics
    Systems Theory, Control
  • Buy this book on publisher's site
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