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L2 - Gain and Passivity Techniques in Nonlinear Control

  • Book
  • © 2000

Overview

Authors:
  1. Arjan Schaft

    1. Faculty of Mathematical Sciences, University of Twente, Enschede, The Netherlands

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  • Passivity-based Control is a topical issue within control engineering today
  • All of the chapters in the second edition of this well-received book have been updated and expanded
  • This balanced book incorporates concise and informative discussions of fundamental theories and recent developments within the field of nonlinear control

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xii
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  2. Input-Output Stability

    • Arjan van der Schaft
    Pages 1-9

  3. Small-gain and Passivity of Input-Output Maps

    • Arjan van der Schaft
    Pages 11-29

  4. Dissipative Systems Theory

    • Arjan van der Schaft
    Pages 31-61

  5. Hamiltonian Systems as Passive Systems

    • Arjan van der Schaft
    Pages 63-123

  6. Passivity by Feedback

    • Arjan van der Schaft
    Pages 125-136

  7. Factorizations of Nonlinear Systems

    • Arjan van der Schaft
    Pages 137-161

  8. Nonlinear H ∞ Control

    • Arjan van der Schaft
    Pages 163-192

  9. Hamilton-Jacobi Inequalities

    • Arjan van der Schaft
    Pages 193-227

  10. Back Matter

    Pages 229-248
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Keywords

About this book

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.

Authors and Affiliations

  • Faculty of Mathematical Sciences, University of Twente, Enschede, The Netherlands

    Arjan Schaft

Bibliographic Information

  • Book Title: L2 - Gain and Passivity Techniques in Nonlinear Control

  • Authors: Arjan Schaft

  • Series Title: Communications and Control Engineering

  • DOI: https://doi.org/10.1007/978-1-4471-0507-7

  • Publisher: Springer London

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag London 2000

  • Hardcover ISBN: 978-1-85233-073-6Published: 01 November 1999

  • eBook ISBN: 978-1-4471-0507-7Published: 06 December 2012

  • Series ISSN: 0178-5354

  • Series E-ISSN: 2197-7119

  • Edition Number: 2

  • Number of Pages: XII, 248

  • Additional Information: Originally published as volume 218 in the series: Lecture Notes in Control

  • Topics: Computational Intelligence, Control, Robotics, Mechatronics, Systems Theory, Control

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