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H∞-Control for Distributed Parameter Systems: A State-Space Approach

  • Book
  • © 1993

Overview

Authors:
  1. Bert Keulen

    1. Department of Mathematics, University of Groningen, The Netherlands

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Part of the book series: Systems & Control: Foundations & Applications (SCFA)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-vii
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  2. Introduction

    • Bert van Keulen
    Pages 1-16

  3. Pritchard-Salamon systems

    • Bert van Keulen
    Pages 17-74

  4. Linear quadratic control and frequency domain inequalities

    • Bert van Keulen
    Pages 75-100

  5. H ∞-control with state-feedback

    • Bert van Keulen
    Pages 101-129

  6. H ∞-control with measurement-feedback

    • Bert van Keulen
    Pages 130-176

  7. Examples and conclusions

    • Bert van Keulen
    Pages 177-204

  8. Stability theory

    • Bert van Keulen
    Pages 205-206

  9. Differentiability and some convergence results

    • Bert van Keulen
    Pages 207-213

  10. The invariant zeros condition

    • Bert van Keulen
    Pages 214-220

  11. The relation between P, Q and \(\bar{P}\)

    • Bert van Keulen
    Pages 221-229

  12. Back Matter

    Pages 230-241
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Keywords

About this book

VI 5.3 Proof of the measurement-feedback result. 144 5.4 Relaxation of the a priori assumptions .. 165 5.4.1 Including the feedthroughs . . . . . 165 5.4.2 How to 'remove' the regularity assumptions 174 6 Examples and conclusions 177 6.1 Delay systems in state-space . . . . . . . . . . 177 6.1.1 Dynamic controllers for delay systems. 180 184 6.1.2 A linear quadratic control problem . . 6.1.3 Duality ............... . . 189 6.2 The mixed-sensitivity problem for delay systems 192 6.2.1 Introduction and statement of the problem. 192 6.2.2 Main result .............. . 194 6.3 Conclusions and directions for future research. 200 A Stability theory 205 A.1 205 A.2 206 B Differentiability and some convergence results 207 B.l 207 208 B.2 B.3 209 209 B.4 B.5 209 B.6 211 B.7 213 214 C The invariant zeros condition C.1 214 221 D The relation between P, Q and P 221 D.1 ............ .... . Bibliography 230 239 Index Preface Control of distributed parameter systems is a fascinating and challenging top­ ic, from both a mathematical and an applications point of view. The same can be said about Hoc-control theory, which has become very popular lately. I am therefore pleased to present in this book a complete treatment of the state-space solution to the Hoo-control problem for a large class of distributed parameter systems.

Authors and Affiliations

  • Department of Mathematics, University of Groningen, The Netherlands

    Bert Keulen

Bibliographic Information

  • Book Title: H∞-Control for Distributed Parameter Systems: A State-Space Approach

  • Authors: Bert Keulen

  • Series Title: Systems & Control: Foundations & Applications

  • DOI: https://doi.org/10.1007/978-1-4612-0347-6

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1993

  • Hardcover ISBN: 978-0-8176-3709-5Published: 21 September 1993

  • Softcover ISBN: 978-1-4612-6718-8Published: 14 October 2012

  • eBook ISBN: 978-1-4612-0347-6Published: 06 December 2012

  • Series ISSN: 2324-9749

  • Series E-ISSN: 2324-9757

  • Edition Number: 1

  • Number of Pages: IX, 243

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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