关键词: 模型依赖平均驻留时间, 跟踪控制, 切换时滞系统, 多Lyapunov函数, L₂增益

Abstract: The problem of H∞ output tracking control for switched time⁃delay systems is investigated by using mode⁃dependent average dwell time method. Using the multiple Lyapunov function method, the condition satisfied by the mode⁃dependent average dwell time was developed, such that the considered systems were exponentially stabilizable with H∞ output tracking performance, the switching controller combining state feedback and tracking error integral was also designed simultaneously. Different from the single average dwell time method, the mode⁃dependent average dwell time method allowed each subsystem of switched systems to possess its own average dwell time, thus it reduced the conservatism of the results. Finally, a numerical example was used to illustrate the effectiveness of the proposed theoretical results.

Key words: Mode?dependent average dwell time, Tracking control, Switched time?delay systems, Multiple Lyapunov function； L₂-gain