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Observer design for the Lur'e differential inclusion system with Markovian jumping parameters

Author

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  • Jun Huang
  • Peng Wang
  • Zhengzhi Han
  • Xiushan Cai

Abstract

This article deals with the observer design for the Lur'e differential inclusion system with Markovian jumping parameters. The set-valued mapping in the system is assumed to be upper semi-continuous, closed, convex, bounded and monotone. The full-order and reduced-order observers are designed to make the corresponding error systems exponentially stable in the mean square, respectively. The criteria are given to guarantee the existence of both full-order and reduced-order observers. The rotor system is considered as an example to show the validity of the proposed method.

Suggested Citation

  • Jun Huang & Peng Wang & Zhengzhi Han & Xiushan Cai, 2013. "Observer design for the Lur'e differential inclusion system with Markovian jumping parameters," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(12), pages 2338-2348.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2338-2348
    DOI: 10.1080/00207721.2012.702243
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    Cited by:

    1. Jun Huang & Yu Gao & Lei Yu, 2016. "Novel observer design method for Lur'e differential inclusion systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(9), pages 2128-2138, July.
    2. Yang, Te & Wang, Zhen & Huang, Xia & Xia, Jianwei, 2022. "Sampled-data exponential synchronization of Markovian jump chaotic Lur'e systems with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).

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