Optimal parity vector sensitive to designated sensor fault

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