Robust finite-time control for a class of extended stochastic switching systems
Date
2011
Authors
Luan, X.
Liu, F.
Shi, P.
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Journal article
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International Journal of Systems Science, 2011; 42(7):1197-1205
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Xiaoli Luan, Fei Liu and Peng Shi
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Abstract
This article proposes a new design approach for robust finite-time H1 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 H1 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.
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© 2011 Taylor & Francis