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Lecture Notes in Control and Information Sciences

H-infinity Control for Nonlinear Descriptor Systems

Authors: Wang, He-Sheng, Yung, Chee-Fai, Chang, Fan-Ren

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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.

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.

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)


Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • The eBook version of this title will be available soon
  • ISBN 978-1-84628-348-2
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.99
price for USA in USD
  • ISBN 978-1-84628-289-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
H-infinity Control for Nonlinear Descriptor Systems
Authors
Series Title
Lecture Notes in Control and Information Sciences
Series Volume
326
Copyright
2006
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-84628-348-2
DOI
10.1007/11576228
Softcover ISBN
978-1-84628-289-8
Series ISSN
0170-8643
Edition Number
1
Number of Pages
XIV, 164
Number of Illustrations
19 b/w illustrations
Topics

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