A new fault detection approach based on parity relation and stationary wavelet transform

In traditional parity space approaches for fault detection, a parity vector of low order means a simple online realization but a bad performance index, while that of high order leads to a good performance index but an unacceptable calculation amount and a high possibility of miss detection. In this paper, by introducing the so-called stationary wavelet transform (SWT) into the residual signal, a new kind of parity relation based residual generator and the corresponding optimization approach are proposed. With the new approach, the residual generator can deliver a very good performance index and a satisfactory low miss detection rate but with a parity vector of a very low order. Simulation results are given.