Robust H∞ control for discrete-time uncertain descriptor Markov jump systems with actuator saturation

In this paper, the robust H∞ control problem for discrete-time uncertain descriptor Markov jump systems with actuator saturation is considered. First, a sufficient condition is obtained which guarantees that the discrete-time descriptor Markov jump systems with actuator saturation are regular, causal, bounded state stable, and satisfy the H∞ performance. Then, the robust H∞ control for uncertain systems is solved and the design method of robust H∞ state feedback controller is developed based on linear matrix inequality (LMI) technique. Last, a numerical example is given to illustrate the effectiveness of the proposed method.