Dynamic Output Feedback L_? Control Of Switched Systems Under Asynchronous Switching

Switched systems are a class of special and important hybrid systems,which widely exists in aerospace,power system,chemical system,network control system,traffic control system and other fields.It has important theoretical research significance and practical value.Switched system have attracted considerable attention.In recent years,many valuable achievements have been made in the research of switched systems.However,there are still some problems on analysis and control that need to be solved.There are few studies on dynamic output feedback L_?control of switched systems under asynchronous switching control.In this paper,the problem of dynamic output feedback control for a class of switched nonlinear systems is discussed.The main results are as follows:1.Under asynchronous switching control,the dynamic output feedback L_?control problem for a class of uncertain continuous switched systems is studied.Firstly,by using multiple Lyapunov functions and average dwell time method,sufficient conditions for switched systems under asynchronous switching control to be stabilizable with L_?performance are obtained,and the design scheme of dynamic output feedback L_?control is presented.Finally,a numerical example is given to illustrate and effectiveness of the proposed method.2.The problem of dynamic output feedback asynchronous L_?control for a class of discrete impulsive switched systems is studied.Firstly,based on multiple Lyapunov functions and average dwell time method,sufficient conditions for switched systems to be exponentially stable with asynchronous L_?performance are given,and dynamic output feedback L_?controller is designed.Finally,a simulation example is given to illustrate the switched effectiveness of the proposed method.