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Leader-following consensus of multi-agent systems via novel sampled-data event-triggered control

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  • Zhao, Can
  • Liu, Xinzhi
  • Zhong, Shouming
  • Shi, Kaibo
  • Liao, Daixi
  • Zhong, Qishui

Abstract

A novel sampled-data event-triggered control (SDETC) for multi-agent systems (MASs) is proposed in this study, which is a more general form with the advantages of more flexible triggering techniques such as LIoDT, EIoDT, LT described in Remark 2.1, 2.2 covering many existing cases [1, 2, 3, 4]. It eliminates the Zeno behavior based on itself structure without difficult proof in the triggering scheme and has the upper triggering interval easily, avoiding the problem that it is not easy to solve linear matrix inequalities (LMIs) if applying the existing method [5] due to the triggering instants in LMIs. The node-based triggering time instants {tsi} in SDETC and the non-node-based impulsive time instants {tk} are well integrated. Cyber attack is considered in the transmission of information in the controller with SDETC for MASs. Leader-following consensus conditions of MASs via the novel impulsive SDETC are constructed. Finally, numerical examples give verification of the proposed methods.

Suggested Citation

  • Zhao, Can & Liu, Xinzhi & Zhong, Shouming & Shi, Kaibo & Liao, Daixi & Zhong, Qishui, 2021. "Leader-following consensus of multi-agent systems via novel sampled-data event-triggered control," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    • Handle: RePEc:eee:apmaco:v:395:y:2021:i:c:s0096300320308031
    DOI: 10.1016/j.amc.2020.125850
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    References listed on IDEAS

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    1. Hu, Jiangping & Hong, Yiguang, 2007. "Leader-following coordination of multi-agent systems with coupling time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 853-863.
    2. Liu, Bin & Sun, Zhijie & Luo, Yihao & Zhong, Yuxuan, 2019. "Uniform synchronization for chaotic dynamical systems via event-triggered impulsive control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
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    Cited by:

    1. Gao, Shanshan & Zhang, Shenggui & Chen, Xinzhuang & Song, Xiaodi, 2023. "Effects of adding arcs on the consensus convergence rate of leader-follower multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 453(C).
    2. Chen, Boxun & Tang, Ze & Feng, Jianwen, 2024. "Matrix measure-based event-triggered consensus of multi-agent systems with hybrid time delays," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    3. Li, Min & Guo, Jian & Xiang, Zhengrong, 2022. "Dynamic event-triggered control design for a class of p-normal nonlinear time-delay systems with actuator failures," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    4. Liu, Haoliang & Zhang, Taixiang & Li, Xiaodi, 2021. "Event-triggered control for nonlinear systems with impulse effects," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

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