Robust H_ ¡Þ Paul Delay Discrete Time Switched Systems, Cost Control And Filtering

Switched delay systems,a class of complex systems,find many applications in engineering and have great significance of theoretical study.In view of this point,the stability analysis and controller design of switch delay systems have been attracted widely attention. However,in reality,we not only study the stability of the system,but also make the system satisfy some performance indicator.This dissertation focuses on the problems of H_∞guaranteed cost control and H_∞guaranteed cost filtering.More specifically,the main contributions are as follows:1) Delay-dependent output feedback H_∞guaranteed cost control for uncertain discretetime switched systems with multiple time-varying delays.This section deals with the problem of H_∞guaranteed cost control for uncertain discretetime switched systems with multiple time-varying delays.The given switched system involves time-varying norm-bounded parameter uncertainties in all the system matrices.The objective is to design a stable guaranteed cost controller,which guarantees that the closed-loop system is asymptotically stable with H_∞performance and the cost function value is not more than a specified upper bound for all admissible uncertainties.By resorting to a switched Lyapunov function,some delay-dependent sufficient conditions are established in terms of linear matrix inequalities(LMIs).A numerical example is provided to demonstrate the effectiveness of the proposed algorithms2) H_∞guaranteed cost filtering for uncertain discrete-time switched systems with multiple time-varying delays.This section studies the problem of H_∞guaranteed cost filtering for uncertain discretetime switched systems with multiple time-varying delays.The switched system under consideration is subject to time-varying norm-bounded parameter uncertainties in all the system matrices.The aim is to design a filtering,which guarantees the asymptotical stability of the error system with prescribed disturbance attenuation for all admissible uncertainties and the cost function value is not more than a specified upper bound.By resorting to a switched Lyapunov function,some delay-dependent sufficient conditions are presented in terms of linear matrix inequalities(LMIs).A numerical example is provided to demonstrate the effectiveness of the proposed algorithms.3) H_∞guaranteed cost control of uncertain discrete-time switched systems with state time-delay. This section considers the problem of H_∞guaranteed cost control for uncertain discretetime switched systems with time-delay.By using single Lyapunov function theory with linear matrix inequality(LMI) method,a sufficient condition is proposed,which guarantees H_∞guaranteed cost control problem solvable of the closed-loop system.The corresponding stabilizing switching rule and memory state feedback controller are provided.Simulation validates the correctness of the presented algorithm.