Title :
H∞ control for discrete-time linear systems with Frobenius norm-bounded uncertainties
Author :
Boukas, El-Kébir ; Shi, Peng
Author_Institution :
Dept. de Genie Mecanique, Ecole Polytech., Montreal, Que., Canada
Abstract :
In this paper, we consider the problems of robust stability and control for the class of uncertain discrete-time linear systems with Frobenius norm-bounded parameter uncertainties in all matrices of the system and output equations. Necessary and sufficient conditions for the above problems are proposed. A linear static state feedback control law is designed, which is in terms of a Riccati inequality
Keywords :
H∞ control; control system synthesis; discrete time systems; linear systems; matrix algebra; robust control; state feedback; uncertain systems; Frobenius norm-bounded parameter uncertainties; H∞ control; Riccati inequality; linear static state feedback control law; matrices; necessary and sufficient conditions; robust control; robust stability; uncertain discrete-time linear systems; Control systems; Equations; Linear matrix inequalities; Linear systems; Robust control; Robust stability; State feedback; Symmetric matrices; Uncertain 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.1998.694731
