H-Infinity Control Of Continuous-Time Descriptor Semi-Markov Jump Systems Subject To Actuator Saturation

In this paper, the H-infinity 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 gamma-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 gamma-disturbance attenuation. Next, a strict linear matrix inequalities (LMIs) optimization problem is developed to solve the H-infinity control problem and design the H-infinity state feedback controller. Last, a numerical example is given to illustrate the effectiveness of the proposed methods.