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中文摘要：
针对目前涉及较少的非均匀采样数据系统故障检测研究，研究了一类基于观测器的故障检测滤波器设计问题；对于非均匀采样数据系统，首先利用提升技术推导出系统的提升状态空间模型，然后选用基于未知输入观测器的故障检测滤波器来作为残差产生器；同时给出一种故障检测滤波器设计的H∞最优化设计方法，并给出其最优解及存在条件；最后通过一个示例进行验证，结果证明了该方法的有效性；该方法能够有效地实现对非均匀采样数据系统的故障的检测。
英文摘要：
The problem of observer-based fault detection filter（FDF） for a class of non-uniformly sampled-data multirate systems is studied. A lifting technique is used to derive the lifted state-space model and an unknown input observer（UIO） is considered as FDF to generate residuals. The design of FDF is formulated as an H∞ optimization problem and a solvable condition as well as an optimal solution are derived. A numerical example is given to illustrate the effectiveness of the proposed method. This proposed method can detect the fault of non-uniformly sampled--data multirate systems effectively.
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