Abstract
In this paper, stabilization problem for a class of multi-channel Markov jump stochastic systems with additive gain perturbations is addressed. In order to design the state feedback stabilization controller, a novel control strategy that guarantees the adequate cost bound is established. A sufficient condition for the existence of the controller is derived in term of matrix inequality. In the sequel, for practical plants since it is not always easy to access the transition modes, the mode-independent strategy set is considered. As a result, it is shown that such strategy set can be obtained by solving the linear matrix inequality (LMI). Furthermore, in order to reduce the cost performance, fuzzy control for each input is combined with the static gain as additive gain perturbations. As a result, even if dramatic random parameter changes occur in the system, it is shown that the robust stability and the reduction of the cost can be attained. Finally, a simple numerical example is given to demonstrate the availability of the proposed method.
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