Robust state feedback stabilization for a class of uncertain switched systems
一类不确定切换系统的鲁棒状态反馈镇定

The problem of robust stabilization for a class of uncertain switched systems is considered.The disturbance does not satisfy the so-called matching condition.By using condition of completeness and multiple Lyapunov function technique,sufficient conditions of robust stabilization for switched systems are obtained respectively under the assumption that each subsystem can not be stabilized.The parameter uncertainties are time-varying and unknown but are norm-bounded.Based on convex combinations technique and LMI(linear matrix inequality) method,robust state feedback controllers and two classes of switching laws are designed to make the closed-loop systems be asymptotically stable on the equilibrium point.The simulation results show the validity of the designed controllers and the switching law.