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  • © 2006

H-infinity Control for Nonlinear Descriptor Systems

Authors:

  • The first dedicated and up-to-date treatment of control for differential algebraic equation systems in some time

  • Gives the reader a thorough overview of H-infinity control for descriptor systems including recent research and advanced topics

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 326)

  • 4290 Accesses

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  • ISBN: 978-1-84628-348-2
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Table of contents (9 chapters)

  1. Front Matter

  2. 1 Introduction

    • He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 1-11
  3. 2 Elements of Descriptor Systems Theory

    • He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 13-36
  4. 3 Youla Parameterization for Descriptor Systems

    • He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 37-60
  5. 4 The \(\mathcal{H}_{\infty}\) Control Problems

    • He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 61-87
  6. 5 Balanced Realization

    • He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 89-109
  7. 6 Some Further Topics

    • He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 111-136
  8. 7 Conclusions

    • He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 137-140
  9. A Generalized Algebraic Riccati Equations

    • He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 141-148
  10. B Center Manifold Theory

    • He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
    Pages 149-151
  11. Back Matter

About this book

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

Reviews

From the reviews:

"The monograph presents a study of the H infinity control problem and related topics for descriptor systems, described by a set of nonlinear differential-algebraic equations. The target group of the monograph is aimed to be academic researchers in control theory, nonlinear systems and control engineering. Necessary and sufficient conditions are derived for the existence of a controller solving the standard nonlinear H infinity control problem considering both state feedback and output feedback." (Ilkka Virtanen, Zentralblatt MATH, Vol. 1113 (15), 2007)

About the authors

Chee-Fai Yung has been with the Department of Electrical Engineering, National Taiwan Ocean University, where he is currently a Professor since August 1993. He was an Associate Professor with the Department of Electric Engineering, National Taiwan Institute of Technology from 1988 to 1999. He has been the editor of Journal of Nonlinear Studies since 2001. He received the Excellent Research Award in 2000 from the Taiwanese National Science Council. His main research interests are robust control, nonlinear control, H-infinity control, descriptor systems theory, PC-based real-time control and applications.

 

From 1976 to 1981, Fan-Ren Chang was an assistant researcher of Chung Shan Institute of Science and Technology. He worked for missile and fire control system projects. He joined the Department of Electrical Engineering, National Taiwan University in 1985 as an Associate Professor. Since 1990, he has been a Professor at the same department. His research interests include linear multivariable systems, generalized systems, numerical algorithms, and satellite navigation systems.

Bibliographic Information

Buying options

eBook
USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-1-84628-348-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 149.99
Price excludes VAT (USA)