Robust Reliable ð » âˆž Control for Nonlinear Stochastic Markovian Jump Systems

Guici Chen and Yi Shen

Mathematical Problems in Engineering, 2012, vol. 2012, 1-16

Abstract:

The robust reliable ð » âˆž control problem for a class of nonlinear stochastic Markovian jump systems (NSMJSs) is investigated. The system under consideration includes Itô-type stochastic disturbance, Markovian jumps, as well as sector-bounded nonlinearities and norm-bounded stochastic nonlinearities. Our aim is to design a controller such that, for possible actuator failures, the closed-loop stochastic Markovian jump system is exponential mean-square stable with convergence rate ð ›¼ and disturbance attenuation ð ›¾ . Based on the Lyapunov stability theory and Itô differential rule, together with LMIs techniques, a sufficient condition for stochastic systems is first established in Lemma 3. Then, using the lemma, the sufficient conditions of the solvability of the robust reliable ð » âˆž controller for linear SMJSs and NSMJSs are given. Finally, a numerical example is exploited to show the usefulness of the derived results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:431576

DOI: 10.1155/2012/431576

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