Title :
Standard H∞ control problem for descriptor system
Author :
Kawamoto, Atsushi ; Katayama, Tohru
Author_Institution :
Dept. of Appl. Math. & Phys., Kyoto Univ., Japan
Abstract :
We consider the standard H∞ control problem for a generalized plant described by a descriptor system based on the DGKF approach. It is shown that the H∞ problem is solvable if and only if the two related generalized algebraic Riccati equations (GAREs) have admissible solutions satisfying certain conditions. Furthermore, a parametrization of all the H∞ controllers is given. Our result is parallel to that for a state space system
Keywords :
H∞ control; Riccati equations; continuous time systems; transfer function matrices; descriptor systems; generalized algebraic Riccati equations; generalized plant described; standard H∞ control problem; Control systems; Eigenvalues and eigenfunctions; Gold; Riccati equations; Sufficient conditions; Symmetric matrices;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.652515
