Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
Volume 54, Issue 9, Pages 2070-2077Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSI.2007.904640
Keywords
H-infinity control; H-infinity filtering; delay-dependent stability; Markovian jump systems; output feedback; time-delay systems; uncertain systems.
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This paper deals with the problems of delay-dependent robust H-infinity control and filtering for Markovian jump linear systems with norm-bounded parameter uncertainties and time-varying delays. In terms of linear matrix inequalities, improved delay-dependent stochastic stability and bounded real lemma (BRL) for Markovian delay systems are obtained by introducing some slack matrix variables. The conservatism caused by either model transformation or bounding techniques is reduced. Based on the proposed BRL, sufficient conditions for the solvability of the robust H-infinity control and H-infinity filtering problems are proposed, respectively. Dynamic output feedback controllers and full-order filters, which guarantee the resulting closed-loop system and the error system, respectively, to be stochastically stable and satisfy a prescribed H-infinity performance level for all delays no larger than a given upper bound, are constructed. Numerical examples are pro-tided to demonstrate the reduced conservatism of the proposed results in this paper.
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