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Improved Reduced-Order Fault Detection Filter Design for Polytopic Uncertain Discrete-Time Markovian Jump Systems with Time-Varying Delays

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  • Lihong Rong
  • Xiuyan Peng
  • Liangliang Liu
  • Biao Zhang

Abstract

The fault detection (FD) reduced-order filtering problem is investigated for a family of polytopic uncertain discrete-time Markovian jump linear systems (MJLSs) with time-varying delays. Under meeting the control precision requirements of the complex systems, the reduced-order fault detection filter can improve the efficiency of the fault detection. Then, by the aid of the Markovian Lyapunov function and convex polyhedron techniques, some novel time-varying delays and polytopic uncertain sufficient conditions in terms of linear matrix inequality (LMI) are proposed to insure the existence of the FD reduced-order filter. Finally, an illustrative example is provided to verify the usefulness of the given method.

Suggested Citation

  • Lihong Rong & Xiuyan Peng & Liangliang Liu & Biao Zhang, 2018. "Improved Reduced-Order Fault Detection Filter Design for Polytopic Uncertain Discrete-Time Markovian Jump Systems with Time-Varying Delays," Complexity, Hindawi, vol. 2018, pages 1-15, April.
    • Handle: RePEc:hin:complx:9489620
    DOI: 10.1155/2018/9489620
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    References listed on IDEAS

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    1. Yanling Wei & Jianbin Qiu & Hamid Reza Karimi & Mao Wang, 2014. "model reduction for continuous-time Markovian jump systems with incomplete statistics of mode information," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(7), pages 1496-1507, July.
    2. Editors, 2014. "International Journal of Systems Science," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 1-1, December.
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    Cited by:

    1. Lei Yu & Junyi Hou, 2018. "Large-Screen Interactive Imaging System with Switching Federated Filter Method Based on 3D Sensor," Complexity, Hindawi, vol. 2018, pages 1-11, December.

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