Abstract
This paper investigates the finite-time asynchronous H∞ control problem for Markov jump singularly perturbed systems. The hidden Markov model is introduced to describe the asynchrony between system modes and controller modes, where partially known probability information exists in the transition probability matrix, in the observation probability matrix or in both. On this basis, a controller which ensure the boundedness in the finite-time and satisfy the H∞ performance of Markov jump singularly perturbed systems is designed. Whereafter, the designed controller gain is obtained by solving linear matrix inequalities which are independent of singularly perturbed parameters. Finally, the validity and practicability of the proposed method are verified by two examples.
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