中文摘要：

借助多Lyapunov函数方法,研究一类具有多时滞的离散切换系统的鲁棒H_∞控制问题。假设切换系统的每个子系统都不能实现鲁棒H_∞控制,基于切换动态输出反馈控制策略,给出了系统存在鲁棒H_∞干扰抑制水平γ可切换镇定的充分条件,并表示成与时滞相关的线性矩阵不等式（LMI）形式,还分别给出了切换律和动态输出反馈控制器的设计方案。最后用仿真例子说明了结论的有效性。

英文摘要：

Using multiple Lyapunov function,the problem of the robust H_∞ control is discussed for a class of discrete time switched systems with multi-delay.Assuming that the H_∞ control cannot be implemented in each individual subsystem and based on switching output feedback control,a delay-dependent and LMI-based sufficient condition is given for the system to be robust H_∞ stabilizable,and switching law and dynamic output feedback controller are designed.A simulation example is given to show the validity of the results.