Fault Detection and Isolation in Inertial Measurement Units Based on χ~2-CUSUM and Wavelet Packet

摘要

The aim of this paper is to present a fault detection algorithm (FDI) based on signal processing techniques developed for an inertial measurement unit (IMU) with minimal redundancy of fiber optic gyros. In this work it is applied the recursive median filter in order to remove impulses (outliers) arising from data acquisition process and parity vector operations, improving the fault detection and isolation performance. The FDI algorithm is divided into two blocks: fault detection (FD) and fault isolation (FI). The FD part of the algorithm is used to guarantee the reliability of the isolation part, and is based on parity vector analysis using χ~2-CUSUM algorithm. The FI part is performed using parity space projection of the energy sub-bands obtained from wavelet packet decomposition. This projection is an extension of clustering analysis based on singular value decomposition (SVD) and principal component analysis (PCA). The results of the FD and FI algorithms have shown the effectiveness of the proposed method, in which the FD algorithm is capable to indicate low level the step bias fault with short delay, and a high index of correct decisions of the FI algorithm also with low level step bias fault.