对一类具有范数有界参数不确定性的离散切换系统和一个二次型性能指标,研究其鲁棒保性能状态反馈控制器的设计问题.利用切换Lyapunov函数方法和线性矩阵不等式技术,给出了鲁棒保性能控制器存在的一个充分条件,并获得了控制器的一个参数化表示.在此基础上,将次优保性能控制器的设计问题转化为基于线性矩阵不等式约束下的凸优化问题.数值例子说明了所提设计方法的有效性. For a class of discrete switching systems with a bounded parameter uncertainty of norm and a quadratic performance index, the design of a robust guaranteed state feedback controller is studied. By using the switched Lyapunov function method and the linear matrix inequality technique, A sufficient condition for the existence of robust guaranteed cost controller is obtained and a parameterized representation of the controller is obtained. On this basis, the design problem of the sub-optimal guaranteed cost controller is transformed into a convex problem based on the linear matrix inequality Optimization Problem Numerical examples illustrate the effectiveness of the proposed method.