Delay-dependent H∞ control and filtering for uncertain Markovian jump systems with time-varying delays
Xu, Shengyuan and Lam, James and Mao, Xuerong (2007) Delay-dependent H∞ control and filtering for uncertain Markovian jump systems with time-varying delays. IEEE Transactions on Circuits and Systems I: Regular Papers, 54 (9). pp. 2070-2077. ISSN 1057-7122 (https://doi.org/10.1109/TCSI.2007.904640)
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This paper deals with the problems of delay-dependent robust H∞ 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∞ control and H∞ 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∞ performance level for all delays no larger than a given upper bound, are constructed. Numerical examples are provided to demonstrate the reduced conservatism of the proposed results in this paper.
ORCID iDs
Xu, Shengyuan, Lam, James and Mao, Xuerong ORCID: https://orcid.org/0000-0002-6768-9864;-
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Item type: Article ID code: 55856 Dates: DateEvent17 September 2007PublishedSubjects: Technology > Electrical engineering. Electronics Nuclear engineering Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 11 Mar 2016 11:59 Last modified: 02 Dec 2024 18:45 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/55856