Table of contents

  1. Front Matter
  2. He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 1-11
  3. He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 13-36
  4. He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 37-60
  5. He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 61-87
  6. He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 89-109
  7. He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 111-136
  8. He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 137-140
  9. He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 141-148
  10. He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 149-151
  11. Back Matter

About this book

Introduction

The authors present a study of the H-infinity control problem and related topics for descriptor systems, described by a set of nonlinear differential-algebraic equations. They derive necessary and sufficient conditions for the existence of a controller solving the standard nonlinear H-infinity control problem considering both state and output feedback. One such condition for the output feedback control problem to be solvable is obtained in terms of Hamilton–Jacobi inequalities and a weak coupling condition; a parameterization of output feedback controllers solving the problem is also provided. All of these results are then specialized to the linear case. The derivation of state-space formulae for all controllers solving the standard H-infinity control problem for descriptor systems is proposed. Among other important topics covered are balanced realization, reduced-order controller design and mixed H2/H-infinity control. "H-infinity Control for Nonlinear Descriptor Systems" provides a comprehensive introduction and easy access to advanced topics.

Keywords

Behavioural Models Control Control Engineering Control Systems Control Theory DAE Descriptor Systems Differential Algebraic Equations Differential Equations on Manifolds H-infinity Control Implicit Models Nonlinear Systems Robust Control Semi

Bibliographic information

  • DOI https://doi.org/10.1007/11576228
  • Copyright Information Springer-Verlag Berlin/Heidelberg 2006
  • Publisher Name Springer, London
  • eBook Packages Engineering
  • Print ISBN 978-1-84628-289-8
  • Online ISBN 978-1-84628-348-2
  • Series Print ISSN 0170-8643
  • Series Online ISSN 1610-7411
  • About this book