Optimal stochastic fault detection filter
Optimal stochastic fault detection filter
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DOI：
10.1016/s0005-1098(02)00245-5
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发表时间：
2003-03-01
期刊：
影响因子：
6.4
通讯作者：
Speyer, JL
中科院分区：
文献类型：
--
作者：
Chen, RH;Mingori, DL;Speyer, JL
确定了一种称为最优随机故障检测滤波器的故障检测与辨识算法。该滤波器的目的是在过程和传感器噪声存在的情况下，检测单个故障，称为目标故障，并阻止其他故障，称为滋扰故障。通过最大化从目标故障到投影输出误差的传输，同时最小化来自滋扰故障的传输，得到该滤波器。因此，残差主要受目标故障的影响，而受滋扰故障的影响最小。过程和传感器噪声的传输也被最小化，从而使滤波器对这些干扰具有健壮性。结果表明，该滤波器在有扰故障传输的权值为无穷大的极限范围内恢复了未知输入观测器的几何结构。进一步，用摄动法确定了滤波器在极限附近的渐近行为。对于时不变系统和时变系统，都可以得到滤波器的设计。(C)2002爱思唯尔科学有限公司。保留所有权利。
A fault detection and identification algorithm, called optimal stochastic fault detection filter, is determined. The objective of the filter is to detect a single fault, called the target fault, and block other faults, called the nuisance faults, in the presence of the process and sensor noises. The filter is derived by maximizing the transmission from the target fault to the projected output error while minimizing the transmission from the nuisance faults. Therefore, the residual is affected primarily by the target fault and minimally by the nuisance faults. The transmission from the process and sensor noises is also minimized so that the filter is robust with respect to these disturbances. It is shown that the filter recovers the geometric structure of the unknown input observer in the limit where the weighting on the nuisance fault transmission goes to infinity. Further, the asymptotic behavior of the filter near the limit is determined by using a perturbation method. Filter designs can be obtained for both time-invariant and time-varying systems. (C) 2002 Elsevier Science Ltd. All rights reserved.