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filtering for switched nonlinear systems under asynchronous switching

Author

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  • Weiming Xiang
  • Jian Xiao

Abstract

In this article, the H∞ filtering problem for switched nonlinear systems under synchronous and asynchronous switching is addressed. First, H∞ filtering under synchronous switching is investigated; however, the H∞ filtering performance cannot be guaranteed when there exists asynchronous switching, which is shown in a numerical example in this article. We then consider asynchronous case. At first the totally asynchronous switching is considered, then by the results of synchronous and totally asynchronous case, H∞ filtering under partially asynchronous switching is derived. Several numerical examples are given to illustrate the effectiveness of the proposed results.

Suggested Citation

  • Weiming Xiang & Jian Xiao, 2011. "filtering for switched nonlinear systems under asynchronous switching," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(5), pages 751-765.
  • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:751-765
    DOI: 10.1080/00207721.2010.488763
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    Cited by:

    1. Cui, Jiahao & Wang, Ruihua & Jiao, Ticao & Fei, Shumin, 2021. "A foreseeable Lyapunov function approach for H∞ asynchronous filtering of discrete-time switched systems," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    2. Wang, Ronghao & Xing, Jianchun & Xiang, Zhengrong, 2018. "Finite-time stability and stabilization of switched nonlinear systems with asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 229-244.
    3. Xudong Zhao & Yunfei Yin & Jun Shen, 2016. "Reset stabilisation of positive linear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2773-2782, September.
    4. Shitao Zhang & Peng Lin & Junfeng Zhang, 2022. "Event-Triggered Asynchronous Filter of Nonlinear Switched Positive Systems with Output Quantization," Mathematics, MDPI, vol. 10(4), pages 1-21, February.

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