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Derivative-based event-triggered control for networked systems with quantization

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  • Yan, Shen
  • Yang, Fan
  • Gu, Zhou

Abstract

This paper is devoted to the problem of derivative-based event-triggered control for linear networked systems with quantization. A novel type of event-triggered mechanism (ETM) is presented via involving a derivative term related with the Lyapunov functional. Inspired by this introduced derivative term, we call the proposed ETM as derivative-based event-triggered mechanism (DETM). In the conventional ETM, the triggering condition is always needed to be less than zero to ensure the system stability, while it is not required under the proposed DETM. Then, with the help of linear matrix inequality (LMI) technique, sufficient conditions for co-designing the triggering matrix and an event-triggered controller are derived. The corresponding results are also applied to event-triggered control systems with time-varying transmission delay. The validity of the developed approach is illustrated by some simulation examples.

Suggested Citation

  • Yan, Shen & Yang, Fan & Gu, Zhou, 2020. "Derivative-based event-triggered control for networked systems with quantization," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    • Handle: RePEc:eee:apmaco:v:383:y:2020:i:c:s0096300320303234
    DOI: 10.1016/j.amc.2020.125359
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    References listed on IDEAS

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    1. Yao, Xiuming & Lian, Yue & Park, Ju H., 2019. "Disturbance-observer-based event-triggered control for semi-Markovian jump nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    2. Xiong, Jun & Chang, Xiao-Heng & Yi, Xiaojian, 2018. "Design of robust nonfragile fault detection filter for uncertain dynamic systems with quantization," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 774-788.
    3. Ye, Dan & Li, Xiehuan, 2020. "Event-triggered fault detection for continuous-time networked polynomial-fuzzy-model-based systems," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    4. Xiao, Xiaoqing & Park, Ju H. & Zhou, Lei, 2018. "Event-triggered control of discrete-time switched linear systems with packet losses," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 344-352.
    5. Song, Jia-Sheng & Chang, Xiao-Heng, 2020. "H∞ controller design of networked control systems with a new quantization structure," Applied Mathematics and Computation, Elsevier, vol. 376(C).
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    Cited by:

    1. Shao, Xingling & Yue, Xiaohui & Li, Jie, 2021. "Event-triggered robust control for quadrotors with preassigned time performance constraints," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    2. Tan, Lihua & Li, Chuandong & Huang, Junjian & Huang, Tingwen, 2021. "Output feedback leader-following consensus for nonlinear stochastic multiagent systems: The event-triggered method," Applied Mathematics and Computation, Elsevier, vol. 395(C).

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