中文摘要：

针对一类范数有界不确定切换系统，给出了状态反馈保性能控制的定义，利用公共李亚普诺夫函数导出了在任意切换下切换系统二次稳定化保性能控制律存在的充分条件，并将之表示为线性矩阵不等式解的可行性问题，在线性矩阵不等式有解的情况下，给出了保性能控制器的一个参数化表示；进一步以定理的形式给出了最优保性能控制律存在的充分条件．最后，仿真算例表明了所得结论的有效性．

英文摘要：

Aimed at a kind of uncertain switched system, the keeping-cost control of the state feedback was defined; using the common Lyapunov function method several sufficient conditions of existence the quadratic stable guaranteed cost control law of the uncertain switched system were derived. The sufficient conditions were equivalently expressed as the solvability of the linear matrix inequalities （LMIs）, and the controller were parameterized when the LMIs had a possible solution. The sufficient condition of existence of the optimal guaranteed cost control law is given. The numerical simulation results show the effective of the conclusion.