DocumentCode
2179184
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
Volume
1
fYear
1998
fDate
21-26 Jun 1998
Firstpage
557
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;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1998. Proceedings of the 1998
Conference_Location
Philadelphia, PA
ISSN
0743-1619
Print_ISBN
0-7803-4530-4
Type
conf
DOI
10.1109/ACC.1998.694731
Filename
694731
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