This paper is concerned with the robust fault detection (FD) problem for linear discrete time-delay systems in finite frequency domain. By fault estimate techniques, the FD detection filter design problem is formulated as a delay-dependent H-infinity filter design problem. This paper directly gives linear matrix inequality conditions for finite frequency FD performance, and avoids the approximations associated with frequency weights. Finally, an example is given to show that the proposed delay-dependent FD filter can achieve better FD performance than other existing algorithms.%本文研究了线性离散时滞系统的有限频鲁棒故障检测问题.利用故障估计技术,将故障检测滤波器设计问题转化为时滞依赖的H∞滤波器设计问题.本文直接给出刻画有限频故障检测性能的线性矩阵不等式条件,避免因引入加权函数而产生的不准确性.最后,仿真算例表明时滞依赖的有限频故障检测滤波器可以取得比已有结果更好的故障检测性能.
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