H∞ control of continuous-time descriptor semi-Markov jump systems subject to actuator saturation

In this paper, the H_∞ control problem of the continuous-time descriptor semi-Markov jump systems (S-MJSs) with actuator saturation is discussed. First, a sufficient condition is obtained to guarantee that this kind of systems are stochastically admissible with γ-disturbance attenuation by applying infinitesimal generator for stochastic Lyapunov function. Then, based on the lower and upper bounds of the time-varying transition probability, and the singular value decomposition approach, another sufficient condition is given to guarantee the descriptor S-MJSs being stochastically admissible with γ-disturbance attenuation. Next, a strict linear matrix inequalities (LMIs) optimization problem is developed to solve the H_∞ control problem and design the H_∞ state feedback controller. Last, a numerical example is given to illustrate the effectiveness of the proposed methods.