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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 361631, 16 pages
Research Article

Hierarchical Fault Diagnosis for a Hybrid System Based on a Multidomain Model

1Sino-French Engineer School, Beihang University, No. 37 XueYuan Road, Beijing 1001091, China
2School of Reliability and System Engineering, Beihang University, No. 37 XueYuan Road, Beijing 1001091, China

Received 20 May 2014; Revised 11 August 2014; Accepted 31 August 2014

Academic Editor: Hamid R. Karimi

Copyright © 2015 Jiming Ma and Jianbin Guo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The diagnosis procedure is performed by integrating three steps: multidomain modeling, event identification, and failure event classification. Multidomain model can describe the normal and fault behaviors of hybrid systems efficiently and can meet the diagnosis requirements of hybrid systems. Then the multidomain model is used to simulate and obtain responses under different failure events; the responses are further utilized as a priori information when training the event identification library. Finally, a brushless DC motor is selected as the study case. The experimental result indicates that the proposed method could identify the known and unknown failure events of the studied system. In particular, for a system with less response information under a failure event, the accuracy of diagnosis seems to be higher. The presented method integrates the advantages of current quantitative and qualitative diagnostic procedures and can distinguish between failures caused by parametric and abrupt structure faults. Another advantage of our method is that it can remember unknown failure types and automatically extend the adaptive resonance theory neural network library, which is extremely useful for complex hybrid systems.