Fault Diagnosis of Hybrid Dynamic and Complex Systems by Moamar Sayed-Mouchaweh

Author:Moamar Sayed-Mouchaweh
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

2.For each state, a subset sw j  ⊆ maxJ SW will be set to on, defining a HBG-PC j , which is a minimal RBG. Hence, the qualitative influence of each fault in the discrepancy node (only available output measurement for HBG-PC j ) can be computed from its associated Temporal Causal Graph [4] as described in the TRANSCEND approach, except that using the PCs approach, the information is minimal [15]. That qualitative information is the expected deviation in the residual for each HBG-PC, obtained by comparing the real measurement against the predicted value by its discrepancy node.

Such qualitative information is stored in the Reduced Qualitative Fault Signature Matrix (RQ-FSM) [16] for each state. Entries RQ i,j in the RQ-FSM represents the qualitative influence of parametric fault θ i  ∈ Θ for HBG-PC j , if any.

In our electric circuit example, there is only one sensor v 1, and the RQ-FSM for SHBG-PC< 1, 0 > , named HBG-PC 1 in Table 6.1, can be seen in Table 6.2b.

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