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研究具有一般形式的不确定线性时滞系统的鲁棒 H∞ 状态反馈控制器设计问题 .基于二次 H∞ 性能概念 ,首先证明了若存在鲁棒 H∞ 动态状态反馈控制器 ,则必存在鲁棒 H∞ 静态状态反馈控制器 ,然后利用线性矩阵不等式给出了鲁棒 H∞ 静态状态反馈控制器存在的充分条件和构造方法 ,最后给出一个算例验证本文方法的有效性
A robust H∞ state feedback controller design problem with a general form of uncertain linear time-delay systems is investigated. Based on the concept of quadratic H∞ performance, it is first proved that if a robust H∞ dynamic state feedback controller exists, Rod H∞ static state feedback controller. Then, the sufficient condition and construction method of the robust H∞ static state feedback controller are given by using the linear matrix inequality. Finally, an example is given to verify the effectiveness of the proposed method