Title :
Robust H2 control of descriptor system with time-varying uncertainty
Author :
Takaba, Kiyotsugu ; Katayama, Tohru
Author_Institution :
Dept. of Appl. Math. & Phys., Kyoto Univ., Japan
Abstract :
Considers the robust H2 control problem for a descriptor system with time-varying structured uncertainty. We first derive a computational formula of the H2 norm for a time-varying descriptor system using a generalized Lyapunov differential equation. Then, a sufficient condition for the robust H2 performance is given in terms of a linear matrix inequality (LMI). Based on this LMI condition, we develop a design method of a descriptor variable feedback controller achieving the robust performance. The present design method can solve the robust H2 control problem for a wider class of plants than the state-space approach
Keywords :
Lyapunov methods; control system synthesis; differential equations; matrix algebra; robust control; time-varying systems; uncertain systems; descriptor system; descriptor variable feedback controller; generalized Lyapunov differential equation; linear matrix inequality; robust H2 control; sufficient condition; time-varying structured uncertainty; Adaptive control; Control systems; Design methodology; Differential equations; Linear matrix inequalities; Robust control; Robustness; Sufficient conditions; Time varying systems; Uncertainty;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.703068
