中文摘要：

研究了系统被控对象存在不确定性，同时控制器也存在摄动的控制问题，采用Lyapunov稳定性理论和线性矩阵不等式（LMI）方法，以一组LMI形式给出了控制器存在的充分条件，并给出了弹性控制器的设计方法。仿真实例表明，该方法提高了时滞系统的广义H2控制的鲁棒性，验证了所提出方法的有效性。

英文摘要：

The problem of robust resilient generalized H2 control for linear time-delay systems is studied. The uncertainties existed not only in the plat, but also in the gains of controller. Using the Lyapunov theory and linear matrix inequality （LMI） method, criteria for the existence and design method of the resilient generalized H2 controller were derived. The method improves the robustness of the generalized H2 performance of uncertain time-delay systems. The practical applicability of proposed method is illustrated by a simulation example.