研究一类由任意有限多个线性子系统组成的切换系统的动态输出反馈H∞控制问题.利用共同Lyapunov函数方法和凸组合技术,给出由矩阵不等式表示的控制器存在的充分条件,并设计了相应的子控制器和切换规则.采用消元法,将该矩阵不等式转化为一组线性矩阵不等式(LMIs).最后给出一个数值仿真实例证明结论的有效性. In this paper, we study a class of H∞ output feedback control problems for switched systems composed of any finite number of linear sub-systems. By using the common Lyapunov function method and convex combination techniques, the sufficient conditions for the existence of controllers represented by matrix inequalities The corresponding sub-controllers and switching rules are adopted, and the matrix inequality is transformed into a set of linear matrix inequalities (LMIs) by the elimination method. Finally, a numerical simulation example is given to prove the validity of the conclusion.