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Event-Triggered Asynchronous Filter of Nonlinear Switched Positive Systems with Output Quantization

Author

Listed:
  • Shitao Zhang

    (School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China)

  • Peng Lin

    (School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China
    Digital Economy Research Institute, Hangzhou Dianzi University, Hangzhou 310018, China)

  • Junfeng Zhang

    (School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China
    Digital Economy Research Institute, Hangzhou Dianzi University, Hangzhou 310018, China)

Abstract

This paper deals with a static/dynamic event-triggered asynchronous filter of nonlinear switched positive systems with output quantization. The nonlinear function is located in a sector. Both static and dynamic event-triggering conditions are established based on the 1-norm form. By virtue of the event-triggering mechanism, the error system is transformed into an interval uncertain system. An event-triggered asynchronous filter is designed by employing a matrix decomposition approach. The positivity and L 1 -gain stability of the error system are guaranteed by means of linear copositive Lyapunov functions and a linear programming approach. Finally, two examples are given to verify the effectiveness of the design.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:4:p:599-:d:750259
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    References listed on IDEAS

    as
    1. Zhang, Junfeng & Zhao, Xudong & Cai, Xiushan, 2016. "Absolute exponential L1-gain analysis and synthesis of switched nonlinear positive systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 24-36.
    2. 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.
    3. Alexander Aleksandrov & Elena Aleksandrova & Alexei Zhabko, 2017. "Stability analysis of some classes of nonlinear switched systems with time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(10), pages 2111-2119, July.
    4. repec:taf:tsysxx:v:48:y:2017:i:6:p:1281-1290 is not listed on IDEAS
    5. 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.
    Full references (including those not matched with items on IDEAS)

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