Abstract: The problem of mixed H∞ and passive model reference tracking control for a class of discrete switched systems with Discrete time⁃delay based on asynchronous switching was studied. By using the piecewise Lyapunov functional theory and average dwell time method, sufficient conditions for the Discrete time⁃delay switched systems to be exponentially stable with asynchronous mixed H∞ and passive model reference tracking performance were given in the form of linear matrix inequalities. Finally, a simulation example was provided to illustrate the effectiveness of the proposed method.

Key words: Discrete time?delay systems, Mixed H&infin, and passive, Model reference tracking control, Multiple Lyapunov function, Asynchronous switching

摘要： 研究一类离散时滞切换系统基于异步切换下的混合H∞和无源模型参考跟踪控制问题。采用多Lyapunov函数理论并利用平均驻留时间方法，得到以线性矩阵不等式(LMIs)表示的时滞切换系统异步切换下指数稳定且具有混合H∞和无源模型参考跟踪性能的充分条件。最后，以仿真例验证所提出方法的正确性和有效性。

关键词: 离散时滞系统, 　混合H∞和无源, 　模型参考跟踪控制, 　多Lyapunov函数, 　异步切换