中文摘要：

针对一类具有时滞相关和具有非线性扰动的不确定广义系统，研究了该系统的保性能控制问题。目的是设计一个有记忆的状态反馈控制器，不仅使得闭环系统渐进稳定而且相应的性能指标不超过某个确定的上界。基于Lyapunov函数方法和线性矩阵不等式（LMI），得到闭环系统渐进稳定的充分条件和保性能控制器的设计方法。最后通过数值算例说明了所给方法的有效性。

英文摘要：

The problem of the guaranteed cost control for a delay-dependent nonlinear singular system is studied. The purpose is to design a memory state feedback controller, making the closed-loop system asymptotically stable and the corresponding performance index not beyond a certain bound. Based on Lyapunov function method and the linear matrix inequality technique, sufficient conditions for the stability of closed-loop system and explicit expressions of guaranteed cost control are obtained. Finally, the effectiveness of the proposed method is proved by a nucaerical example.