H-infinity Control for Nonlinear Descriptor Systems

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.

• Introduction.- Elements of Descriptor Systems Theory.- Youla Parameterization.- The H-infinity Control.- Balanced Realization.- Some Further Topics.- Conclusions.- Appendices: Generalized Algebraic Riccati Equations; Center Manifold Theory.

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)