Asynchronous Control for Discrete-Time Singular Markovian Jump Systems With Actuator Saturation

In this brief, we investigate the asynchronous control problem for discrete-time singular Markovian jump systems (SMJSs) with actuator saturation. A convex hull is constructed to deal with the saturated nonlinearity and a hidden Markov model (HMM) is adopted to describe the asynchronization behavior between the system and the controller. Firstly, some sufficient conditions to ensure the system is stochastically admissible with desired performance are obtained. Secondly, a novel approach is given to design the controller gains. Thirdly, the maximize domain of attraction of the system is estimated by the optimal method. Finally, an example is presented to show the effectiveness of the proposed method.