Robust State-Estimator-Based Stabilization for Uncertain Singular Markovian Jump Systems via Sliding Mode Technique

In this article, robust stabilization of uncertain singular Markovian jump systems (SMJSs) under unavailable state variables is focused by employing sliding mode technique. Such an issue often appears in practical plants such as DC motor due to wide representations of singular systems, and a fresh adaptive sliding mode control (SMC) scheme for the SMJSs is put forward. By sliding mode approach, a state-estimator-based control method is developed for the underlying system, and an adaptive switching controller is devised to meet the reachability requirement of the defined sliding surface. Then, a novel stochastic admissibility condition for the desirable system dynamics during the sliding mode is provided. In addition, the asynchronous observer-based SMC for normal MJSs is further carried out on the basis of the proposed control strategy as a special extension. At last, two illustrative examples are shown to verify the advantage and validity of the presented result.