H_∞ Control Of Uncertain Switched Systems

In this paper,robust control problems of uncertain switched sysytems are discussed including stabilization problems,L2-gain problem,H∞control problem and singular H∞control problem of uncertain nonlinear switched sysytems. By designing multiple Lya-punov function methods and switching laws,first,sufficient conditions which guarantee the uncertain nonlinear switched systems stable are given,second, sufficient conditions which guarantee the uncertain nonlinear switched systems having L2-gain property,solutions to the H∞control problem and singular H∞control problem are also given,last, by making use of matrix inequality,condtions to solve the corresponding problems are given.