Failure detection using optimal parity vector sensitive to special sensor failure

Based on the parity space construction and the orthogonal constraint condition of parity vector, the approach of failure detection and isolation using optimal parity vector is presented in this paper. Its main idea is to design a performance criterion which is similar to the one proposed by Zhang and Patton (1993), but most sensitive to designated sensor's failure and least sensitive to other sensor's failure and unknown inputs such as noises. Through the Monte-Carlo simulation, it is shown that the approach of choosing optimal parity vector greatly increases the ability of failure detection and the effectiveness of failure isolation is better than the generalised likelihood test approach.