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Filtering-Based Fault Detection for Stochastic Markovian Jump System with Distributed Time-Varying Delays and Mixed Modes

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  • Yucai Ding
  • Hong Zhu
  • Shouming Zhong
  • Yuping Zhang
  • Jianwei Xia

Abstract

The problem of fault detection for stochastic Markovian jump system is considered. The system under consideration involves discrete and distributed time-varying delays, Itô-type stochastic disturbance, and different system and delay modes. The aim of this paper is to design a fault detection filter such that the fault detection system is stochastically stable and satisfies a prescribed disturbance attenuation level. By using a novel Lyapunov functional, a mix-mode-dependent sufficient condition is formulated in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed main results.

Suggested Citation

  • Yucai Ding & Hong Zhu & Shouming Zhong & Yuping Zhang & Jianwei Xia, 2012. "Filtering-Based Fault Detection for Stochastic Markovian Jump System with Distributed Time-Varying Delays and Mixed Modes," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-22, December.
    • Handle: RePEc:hin:jnljam:524271
    DOI: 10.1155/2012/524271
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    Cited by:

    1. Bo-Chao Zheng & Guang-Hong Yang, 2014. "Sliding mode control for Markov jump linear uncertain systems with partly unknown transition rates," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(10), pages 1999-2011, October.

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