Control Of Descriptor Semi-Markov Jump Systems Subject To Actuator Saturation

Actuator saturation can lead to poor performance of the closed-loop sys-tem and sometimes destabilizes the system.The research for systems with actuator saturation has attracted many attentions.With comprehensive ap-plications,semi-Markov jump systems(S-MJSs)have more looser conditions than Markov jump systems(MJSs).Hence,the study for S-MJSs is significant in theory and in practice.In this paper,the state feedback control,static output feedback control and H? state feedback control of continuous-time descriptor S-MJSs subject to actuator saturation arc discussed.In Chapter 3,the state feedback control of continuous-time descriptor S-MJSs subject to actuator saturation is discussed.First,a sufficient condition is obtained to guarantee that this kind of systems are stochastically admissible 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.Next,a strict linear matrix inequalities(LMIs)optimization problem is developed to solve state feedback control problem and design the state feedback controller.Last,a numerical example is given to illustrate the effectiveness of the proposed methods.In Chapter 4,the static output feedback control of continuous-time de-scriptor S-MJSs subject to actuator saturation is discussed.Based on the methods of Chapter 3,with measurable output,a strict LMIs optimization problem is developed to design the output feedback controller.An example is given to get output feedback controller and illustrate the effectiveness of the proposed methods.In Chapter 5,the H? state feedback control of continuous-time descrip-tor S-MJSs subject to actuator saturation is discussed.First,based on the methods of Chapter 3,two sufficient conditions are given to guarantee the descriptor S-MJSs being stochastically admissible with ?-disturbance atten-uation.Then,a strict LMIs optimization problem is developed to design the H? state feedback controller.Last,an example is given to get H? state feed-back controller and illustrate the effectiveness of the proposed methods.