中文摘要：

研究了带分布时滞奇异系统的故障检测问题，设计观测器形式的故障检测滤波器作为残差产生器，将故障检测滤波器设计归结为H∞滤波。利用Lyapunov．Krasovskii方法，给出奇异时滞系统H∞故障检测滤波器存在的充分条件。应用线性矩阵不等式技术，得到问题的解。

英文摘要：

We design an observer-based fault detection filter that serves as a residual generator. We regard the design of fault detection filter as H∞ filtering. We further present the sufficient condition that guarantees the existence of the H∞ fault detection filter of a singular time-delay system with Lyapunov-Krasovskii. A linear matrix inequality is applied to the solution of the problem.