Robust finite-time control for a class of extended stochastic switching systems

Xiaoli Luan, Fei Liu and Peng Shi

International Journal of Systems Science, 2011, vol. 42, issue 7, 1197-1205

Abstract: This article proposes a new design approach for robust finite-time H∞ control of a class of Markov jump systems with partially known information on the transition jump rates. The system under consideration involves norm-bounded parameter uncertainties and external disturbance. The problems of robust finite-time boundedness and finite-time stabilisation of the underlying systems are considered. Then, a H∞ state feedback controller is designed. Sufficient conditions that consider only the known bounds on the transition jump rates are developed in the form of linear matrix inequalities. A numerical example is included to show the usefulness of the theoretic results obtained.

Date: 2011
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DOI: 10.1080/00207720903428898

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