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Fault detection for a class of nonlinear stochastic systems with Markovian switching and mixed time-delays

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  • Yue Long
  • Guang-Hong Yang

Abstract

This article is concerned with the fault detection (FD) problem for a class of nonlinear stochastic systems with Markovian switching and mixed time-delays. The stochastic system under consideration contains discrete and distributed mode-dependent delays, nonlinearities as well as Markovian switching. Considering a new sensor fault model, which can express the failures of the loss of effectiveness and the outage, a novel FD scheme is proposed such that it is valid for this class of sensor faults. In addition, delay-dependent conditions, which include some existing results, that capture the sensitivity performance and attenuation performance are derived. Then the FD filter gains are characterised in terms of the solutions to a convex optimisation problem. Finally, an aircraft application is given to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Yue Long & Guang-Hong Yang, 2014. "Fault detection for a class of nonlinear stochastic systems with Markovian switching and mixed time-delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(3), pages 215-231.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:215-231
    DOI: 10.1080/00207721.2012.704089
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