IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i4p599-d750259.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/4/599/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/10/4/599/
    Download Restriction: no
    ---><---

    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)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xie, Jiyang & Zhu, Shuqian & Feng, Jun-e, 2020. "Delay-dependent and decay-rate-dependent conditions for exponential mean stability and non-fragile controller design of positive Markov jump linear systems with time-delay," Applied Mathematics and Computation, Elsevier, vol. 369(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. Li, Shuo & Xiang, Zhengrong, 2020. "Positivity, exponential stability and disturbance attenuation performance for singular switched positive systems with time-varying distributed delays," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    4. Li, Lei & Qi, Wenhai & Chen, Xiaoming & Kao, Yonggui & Gao, Xianwen & Wei, Yunliang, 2018. "Stability analysis and control synthesis for positive semi-Markov jump systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 363-375.
    5. 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).
    6. Chen, Xiaoming & Chen, Mou & Qi, Wenhai & Shen, Jun, 2016. "Dynamic output-feedback control for continuous-time interval positive systems under L1 performance," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 48-59.
    7. 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.
    8. Xi, Qiang & Liu, Xinzhi, 2020. "Mode-dependent impulsive control of positive switched systems: Stability and L1-gain analysis," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    9. Sun, Yuangong & Tian, Yazhou, 2022. "Polynomial stability of positive switching homogeneous systems with different degrees," Applied Mathematics and Computation, Elsevier, vol. 414(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:4:p:599-:d:750259. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.