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Continuous–discrete-time adaptive observers for nonlinear systems with sampled output measurements

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  • Guanglei Zhao
  • Changchun Hua

Abstract

This paper considers the continuous–discrete-time adaptive observer (CDAO) design for a class of nonlinear systems with unknown constant parameters and sampled output measurements. The proposed observer is actually an impulsive system, since the observer state flows according to a set of differential equations and with instantaneous state jumps corresponding to measured samples and their estimates, and an inter-sample output predictor is used to predict the output during sampling intervals. By assuming appropriate persistent excitation conditions and following a technical lemma, an upper bound of the sampling intervals is derived, with which the convergence of the observer state and unknown parameters can be ensured. Finally, the proposed observer is used in examples of chaotic oscillators and single-link flexible-joint robot manipulator to show the effectiveness.

Suggested Citation

  • Guanglei Zhao & Changchun Hua, 2017. "Continuous–discrete-time adaptive observers for nonlinear systems with sampled output measurements," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(12), pages 2599-2609, September.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2599-2609
    DOI: 10.1080/00207721.2017.1324924
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    References listed on IDEAS

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    1. Yali Dong & Yingjuan Yang, 2011. "Observer design for a class of multi-input multi-output nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(4), pages 695-703.
    2. Elaheh Arefinia & Heidar Ali Talebi & Ali Doustmohammadi, 2017. "A robust adaptive observer for a class of singular nonlinear uncertain systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(7), pages 1404-1415, May.
    3. Editors, 2014. "International Journal of Systems Science," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 1-1, December.
    4. Wu-Hua Chen & Dan-Xia Li & Xiaomei Lu, 2013. "Impulsive observers with variable update intervals for Lipschitz nonlinear time-delay systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(10), pages 1934-1947.
    5. Jorge Davila & Alessandro Pisano & Elio Usai, 2011. "Continuous and discrete state reconstruction for nonlinear switched systems via high-order sliding-mode observers," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(5), pages 725-735.
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