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Consensus control for nonlinear multi-agent systems with event-triggered communications

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  • Zhang, Juan
  • Zhang, Huaguang
  • Cai, Yuliang
  • Wang, Wei

Abstract

This paper investigates the consensus problems for a class of nonlinear multi-agent systems (MASs) by distributed event-based control protocols. Firstly, we design the static distributed event-triggered control protocols to achieve leader-follower and leaderless consensus problems, respectively, and the systems exclude Zeno behavior under the proposed control schemes. In order to avoid utilizing the global information of the system networks, that is, the minimum eigenvalues of the correlation matrices. Then, the fully distributed event-based control schemes are designed by introducing the time-varying coupling weights to achieve the leader-follower and leaderless consensus problems, respectively. It has been shown that the Zeno behavior is ruled out in the MASs under the fully distributed event-based control protocols. All static and dynamic event-based control schemes are able to be constructed based on the solvability of linear matrix inequalities (LMIs). Finally, the rationality of the theoretical results is illustrated by the example.

Suggested Citation

  • Zhang, Juan & Zhang, Huaguang & Cai, Yuliang & Wang, Wei, 2021. "Consensus control for nonlinear multi-agent systems with event-triggered communications," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    • Handle: RePEc:eee:apmaco:v:408:y:2021:i:c:s0096300321004306
    DOI: 10.1016/j.amc.2021.126341
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    References listed on IDEAS

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    1. Wang, Dongji & Chen, Fei & Meng, Bo & Hu, Xingliu & Wang, Jing, 2021. "Event-based secure H∞ load frequency control for delayed power systems subject to deception attacks," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    2. Liu, Yu-An & Tang, Shengdao & Liu, Yufan & Kong, Qingkai & Wang, Jing, 2021. "Extended dissipative sliding mode control for nonlinear networked control systems via event-triggered mechanism with random uncertain measurement," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    3. Majeed, Raafia & Ahmad, Sohaira & Rehan, Muhammad, 2015. "Delay-range-dependent observer-based control of nonlinear systems under input and output time-delays," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 145-159.
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    Cited by:

    1. Xu, Jiahong & Wang, Lijie & Liu, Yang & Sun, Jize & Pan, Yingnan, 2022. "Finite-time adaptive optimal consensus control for multi-agent systems subject to time-varying output constraints," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    2. Yang, Yang & Wang, Xue & Wu, Yingcheng & Yue, Wenbin, 2023. "Dynamic average consensus control based on event-triggered cloud access," Applied Mathematics and Computation, Elsevier, vol. 453(C).
    3. Xiong, Menghui & Zhang, Baoyong & Yuan, Deming & Zhang, Yijun & Chen, Jun, 2023. "Event-triggered distributed online convex optimization with delayed bandit feedback," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    4. 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).

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