DocumentCode :
36454
Title :
Further Enhancement on Robust 
Control Design for Discrete-Time Singular Systems
Author :
Chadli, M. ; Darouach, Mohamed
Author_Institution :
Univ. of Picardie Jules Verne, Amiens, France
Volume :
59
Issue :
2
fYear :
2014
fDate :
Feb. 2014
Firstpage :
494
Lastpage :
499
Abstract :
This note deals with the robust H∞ control design for uncertain discrete-time singular systems. Necessary and sufficient conditions for the admissibility for these systems are formulated in strict linear matrix inequalities (LMIs) formulation. Then both state feedback and static output feedback controllers are studied and robust necessary and sufficient design conditions are expressed in terms of strict bilinear matrix inequalities (BMIs). Robust H∞ controllers are designed for uncertain singular systems including uncertainties on matrix E. LMI design conditions are also proposed. An illustrative example is provided to show the effectiveness of the proposed approach.
Keywords :
H∞ control; control system synthesis; discrete time systems; linear matrix inequalities; robust control; state feedback; uncertain systems; BMI; LMI; bilinear matrix inequalities; robust H∞ control design; state feedback; static output feedback; uncertain discrete-time singular systems; Linear matrix inequalities; Linear systems; Output feedback; Robustness; State feedback; Symmetric matrices; Uncertainty; $H_{infty}$ control; admissibility; linear systems; singular systems; strict ${cal LMI}s$
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2013.2273266
Filename :
6558772
Link To Document :
