采用Lyapunov泛函结合线性矩阵不等式(LMI)技术,研究了不确定线性脉冲多时滞系统的鲁棒H∞控制问题,建立了使得闭环系统鲁棒渐近稳定且同时满足H∞性能指标要求的充分性条件,给出了相应的无记忆状态反馈控制器的设计方法.最后给出的例子说明了结果的有效性.
This paper deals with a problem of robust H∞ control for uncertain impulsive systems with multi-delay. A H∞ controller is presented in terms of linear matrix inequalities such that the closed-loop system is asymptotically stable and satisfies the H∞ control conditions for all admissible uncertainties. A numerical example illustrates the theoretical results.