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Fault Detection and Isolation for Semi-Markov Jump Systems with Generally Uncertain Transition Rates Based on Geometric Approach

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Abstract

This paper studies the problem of fault detection and isolation (FDI) for continuous-time semi-Markov jump systems (S-MJSs) with generally uncertain transition. Firstly, a class of residual signals and fault model of S-MJSs with generally uncertain transition rates are designed. Secondly, the parameters of residual generator are obtained by a geometric approach, such that each fault is affected by one fault and decoupled from other faults. The fault states can be determined by comparing the residual output signals with the threshold. Finally, simulation results of FDI based on geometric approach are provided to illustrate the effectiveness of the proposed theoretical results.

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Acknowledgements

This work was partially supported by the National Natural Science Foundation of China (61703051, 61673072), the Guangdong Natural Science Funds for Distinguished Young Scholar (2017A030306014), the Department of Education of Guangdong Province (2016KTSCX030) and the Department of Education of Liaoning Province (LZ2017001).

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Authors and Affiliations

  1. College of Information Sciences and Technology, Bohai University, Jinzhou, 121013, Liaoning, China

    Linchuang Zhang & Qi Zhou

  2. College of Engineering, Bohai University, Jinzhou, 121013, Liaoning, China

    Hongjing Liang

  3. The School of Mathematics and Physics, Bohai University, Jinzhou, 121013, Liaoning, China

    Hui Ma

  4. School of Automation, Guangdong University of Technology, Guangzhou, 510006, Guangdong, China

    Qi Zhou

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  1. Linchuang Zhang
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Correspondence to Hongjing Liang.

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Zhang, L., Liang, H., Ma, H. et al. Fault Detection and Isolation for Semi-Markov Jump Systems with Generally Uncertain Transition Rates Based on Geometric Approach. Circuits Syst Signal Process 38, 1039–1062 (2019). https://doi.org/10.1007/s00034-018-0919-0

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