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Novel observer design method for Lur'e differential inclusion systems

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  • Jun Huang
  • Yu Gao
  • Lei Yu

Abstract

This paper proposes a new method to design observers for Lur'e differential inclusion systems. The feature of this method is that the designed observers do not contain any set-valued functions. single-input-single-output (SISO) systems are considered firstly, then the results are extended to multiple-input-multiple-output (MIMO) systems. For MIMO systems, the form of reduced-order observers is also presented. Simulations are given to show these observers work well.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2128-2138
    DOI: 10.1080/00207721.2014.973929
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    References listed on IDEAS

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    1. Martínez-Guerra, R. & Cruz-Victoria, J.C. & Gonzalez-Galan, R. & Aguilar-Lopez, R., 2006. "A new reduced-order observer design for the synchronization of Lorenz systems," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 511-517.
    2. 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.
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