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Title: A Fault Detection Scheme for Discrete-Time Markov Jump Linear Systems
Authors: Abdo, Ali 
Damlakhi, Waseem 
Ding, Steven 
Keywords: Fault location (Engineering) - Mathematical models;Discretetime MJLS;Kalman Filter (KF);False Alarm Rate (FAR)
Issue Date: 2011
Abstract: In this paper, the fault detection (FD) problems for discrete-time Markov jump linear systems (MJLS) are addressed. A scheme for solving FD problem for discretetime MJLS, which is subject to the Gaussian disturbances, is proposed. The Kalman filter (KF) is used as a residual generator. Once a residual signal is generated, it will be evaluated whether faults occur or not. Residual evaluation function is selected such that the maximum fault detection rate (FDR) is achieved, for a given false alarm rate (FAR). Finally, threshold is computed by using an estimation of the variance of evaluation function in the fault-free case. To demonstrate the performance of this proposed method, a numerical example is given
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