Abstract
This paper addresses the asynchronous H∞ control problem for hidden singular Markov jump systems (HSMJSs) with incomplete transition probabilities. By employing the state decomposition approach, a novel augmented Lyapunov-Krasovkii functional (LKF) with the components of state vectors is designed to reduce the redundant decision variables. Meanwhile, a parameter-dependent reciprocally convex matrix inequality (PDRCMI) is introduced to decrease conservatism. To handle the non-synchronization phenomenon of the system mode and the controller mode, an asynchronous state feedback controller based on hidden Markov model (HMM) is developed. In addition, the incomplete transition probabilities are considered so that a more practical potential strategy is addressed. Finally, numerical examples are provided to illustrate the superiority and practicability of the presented results.
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