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Impulsive observers with variable update intervals for Lipschitz nonlinear time-delay systems

Author

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  • Wu-Hua Chen
  • Dan-Xia Li
  • Xiaomei Lu

Abstract

This article is concerned with the design of impulsive observers with variable update intervals for Lipschitz nonlinear systems with delays in state. Discontinuous Lyapunov function/funtional approaches are developed to analyse the stability of error dynamics. Delay-independent sufficient conditions for uniform exponential stability of the error dynamics over variable update intervals are derived in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, the observer gain matrix can be solved numerically with an LMI-based optimisation algorithm. Numerical examples are provided to show the efficiency of the proposed approach.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1934-1947
    DOI: 10.1080/00207721.2012.670305
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    Cited by:

    1. Chen, Wu-Hua & Sun, Hao & Lu, Xiaomei, 2024. "A variable gain impulsive observer for perturbed Lipschitz nonlinear systems with delayed discrete measurements," Applied Mathematics and Computation, Elsevier, vol. 473(C).
    2. 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.
    3. Shuorui Zhang & Jitao Sun, 2016. "Sample controllability of impulsive differential systems with random coefficients," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2272-2278, July.

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