DocumentCode :
950154
Title :
Robust stability of uncertain time-varying state-delayed systems
Author :
Parlakçi, M. N A
Author_Institution :
Dept. of Comput. Sci., Istanbul Bilgi Univ., Dolapdere, Turkey
Volume :
153
Issue :
4
fYear :
2006
fDate :
7/10/2006 12:00:00 AM
Firstpage :
469
Lastpage :
477
Abstract :
Robust stability for uncertain systems with time-varying delay is investigated. An improved linear matrix inequality-based robust delay-dependent stability test is introduced to ensure a larger upper bound for time-varying delays affecting the state vector of an uncertain continuous-time system with norm-bounded type uncertainties. A new class of Lyapunov-Krasovskii functionals combined with the descriptor model transformation is constructed to derive some delay-dependent stability criteria. The proposed method gives sufficient conditions for the robust stability of the system with time-varying delay under norm-bounded uncertainty. Numerical examples indicate that the proposed stability criteria effectively improve the existing results.
Keywords :
Lyapunov methods; continuous time systems; delays; linear matrix inequalities; robust control; stability criteria; time-varying systems; uncertain systems; Lyapunov-Krasovskii functionals; continuous-time system; linear matrix inequality; norm bounded uncertainty; robust delay dependent stability test; robust stability; stability criteria; time-varying delay; uncertain system;
fLanguage :
English
Journal_Title :
Control Theory and Applications, IEE Proceedings -
Publisher :
iet
ISSN :
1350-2379
Type :
jour
DOI :
10.1049/ip-cta:20050099
Filename :
1637333
Link To Document :
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