Finite Time Extended Dissipative Analysis And Control For Several Classes Of Switched Systems

In recent years,complex systems have been widely concerned by many scholars.On the other hand,switch systems are an important branches of hybrid systems,and many research achievements have emerged in recent years.As a new performance index,the extended dissipative provides us a more effective way to deal with the problem of robust control of complex systems.The extended dissipative performance index has not been effectively used in switched systems.In this paper,the finite time extended dissipative analysis and control of several classes of switched systems are discussed.The main contents are the following:1.For a class of uncertain switched neutral systems,where the uncertain parameters are norm bounded form,by using multi lyapunov function and the average dwell time method,linear matrix inequality sufficient conditions of finite time boundedness and finite time extended dissipative are obtained,and designed the additive and multiplicative types of non fragile state feedback controller such that the closed-loop system satisfies the finite time extended dissipative performance.2.For a class of uncertain switched time-delay systems,the uncertainty is a convex polyhedron form,using the free weighting matrix method,we analysed the problem of robust finite time extended dissipativeness,and designed the controller to deal with convex polytopic uncertainty,we obtained the determination conditions of the linear matrix inequality form which make the closed-loop system satisfies the finite time extended dissipative performance.3.For a class of uncertain discrete time switched linear systems,we analyzed the problem of finite time dissipativeness,and the model dependent lyapunov functions are constructed,and the criteria of the linear matrix inequality form are obtained.Furthermore,two kinds of additive and multiplicative form non fragile state feedback controller are extended to discrete switched systems,so that the closed-loop system satisfies the finite time dissipative performance.