Robust Dynamic Output Feedback Control Of Switched Systems

In this dissertation, the problem of robust dynamic output feedback control for uncertain switched systems, impulsive switched systems and switched composite large-scale systems is mainly studied. Currently, many kinds of the index performance for system synthesize problem that can be carried out only by in dependent of state feedback. It is shown that state feedback is far better than output feedback on the function. However, the state is a system inner quantity set, or because of measuring impossibly and all and directly, or because of the measurement means' restriction in the economy and the applicability, make the physical realization of the state feedback become impossibly or very difficult matter, which leads to design of the dynamic output feedback controllers. The dissertation is focused on uncertain switched systems, impulsive switched systems and switched composite large-scale systems. Robust dynamic output feedback controllers and switching laws are designed to make the closed-loop systems robust stable. Corresponding adopted study methods are Lyapunov function method, completeness and variable change technique, these methods combine with LMI to deal with the problem on robust stabilization and robust performance for the switched systems.The arrangement of this dissertation is as follows.In chapter 1, conception of hybrid systems and recent development, study methods, application fields of switched systems and impulsive switched systems, and then study contents, methods, theoretical and practical significance of the dissertation are introduced briefly.In chapter 2, the problem of robust dynamic output feedback stabilization for switched linear systems whose state and control matrices with uncertainties and disturbances is discussed. By using the condition of completeness, a sufficient condition of robust stabilization for switched systems is obtained. Based on LMI method and variable change technique, robust dynamic output feedback controllers and a switching law are designed.In chapter 3, the problem of robust H_∞dynamic output feedback stabilization for uncertain impulsive switched systems with disturbance is considered on the base of switched systems theory. By using Lyapunov function technique, LMI method and variable change approach, sufficient conditions of robust stabilization and H_∞performance for the systems are obtained. Based on Matlab software, robust H_∞dynamic output feedback controllers and the impulsive control laws are designed.In chapter 4, the problem of robust H_∞stabilization for a class of switched composite large-scale systems is studied. It is supposed that there exist finite candidate state observers, and the gain matrices of observers are known, but none of the individual state observers makes the error system asymptotically stable with H_∞norm-bounded. Based on switching technique, convex combination technique and LMI method, switching among the finite candidate observers, the error system is shown to be asymptotically stable with H_∞norm-bounded through the design of switching laws.In chapter 5, the whole dissertation is summarized. Work assumption in the future and the direction of endeavor are pointed out.