Asynchronous control for Markov jump systems subject to actuator saturation

In this paper, the asynchronous controller problem is considered for Markov jump systems (MJSs) subject to actuator saturation. The asynchronous phenomenon between the controller and the plant is addressed by introducing a hidden Markov model and the closed-loop hidden MJSs are obtained. Based on the closed-loop hidden MJSs and using convex hull technique and linear matrix inequality technique, a controller design algorithm is derived to ensure that the closed-loop hidden MJSs satisfy the stochastic stability. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed asynchronous controller design algorithm.