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Asynchronous filtering for linear switched systems with average dwell time

Author

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  • Bo Wang
  • Hongbin Zhang
  • Gang Wang
  • Chuangyin Dang

Abstract

This paper is concerned with the H∞ filtering problem for a class of continuous-time linear switched systems with the asynchronous behaviours, where ‘asynchronous’ means that the switching of the filters to be designed has a lag to the switching of the system modes. By using the Lyapunov-like functions and the average dwell time technique, a sufficient condition is obtained to guarantee the asymptotic stability with a weighted H∞ performance index for the filtering error system. Moreover, the results are formulated in the form of linear matrix inequalities that are numerical feasible. As a result, the filter design problem is solved. Finally, an illustrative numerical example is presented to show the effectiveness of the results.

Suggested Citation

  • Bo Wang & Hongbin Zhang & Gang Wang & Chuangyin Dang, 2016. "Asynchronous filtering for linear switched systems with average dwell time," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2783-2791, September.
  • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2783-2791
    DOI: 10.1080/00207721.2015.1023758
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    Cited by:

    1. 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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