This paper focuses on the problem of robust H∞ state feedback controller design for linear delay systems with time-varying uncertainties. Based on the notion of quadratic H∞ performance, it is proved that if there exists a robust H∞ dynamic state feedback controller, then there must exist a robust H∞ static state feedback controller. Sufficient conditions for the existence of robust H∞ static state feedback controllers are given in terms of linear matrix inequalities, and the design method is also presented. The systems in consideration are more general than those considered in the references. Finally, an example is provided to demonstrate the effectiveness of the proposed method.%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.
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