Lecture Notes in Control and Information Sciences

Wang, He-Sheng; Yung, Chee-Fai; Chang, Fan-Ren

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.

Details

Published by: Springer

Publication Date: 2006-01-18

Format: Paperback

ISBN-13: 9781846282898

DOI: 10.1007/11576228

Dimensions: 235cm x155cm

Pages: 164