关键词: 离散切换系统, 动态输出反馈, 多时滞, 多Lyapunov函数, 鲁棒H&infin, 控制

Abstract: 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.

Key words: discrete time switched systems, output feedback control, multi-delay, multiple Lyapunov function, robust [H∞] control