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Consensus of nonlinear MAS via double nonidentical mode-dependent event-triggered switching control

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  • Zhang, Meijie
  • Yang, Xinsong
  • Xiang, Zhengrong
  • Liu, Xiaoyang

Abstract

This paper investigates the global exponential consensus almost surely (GEC a.s.) of nonlinear multi-agent system (MAS) with switching topology via double nonidentical mode-dependent event-triggering mechanisms (ETMs). Considering the activated probability of switching modes, the transition probability (TP) and mode-dependent average dwell time (MDADT) are combined to propose a more practical switching rule. To save communication resources as much as possible, a set of nonidentical mode-dependent ETMs are designed, where the ETMs of each node are nonidentical and the ETM for controller-actuator (C-A) channel is designed on the basis of ETM for sensor-controller (S-C) channel. By designing a new Lyapunov-Krasovskii functional (LKF), sufficient conditions are derived to ensure the GEC a.s. of nonlinear MAS and the control gains are obtained by solving linear matrix inequalities (LMIs). Usually, the increment coefficient of LKF at switching instant must be larger than one, which will lead to conservatism. Our results remove this constraint condition and do not require each mode of the consensus error system to be stable. A numerical example is provided to demonstrate the effectiveness and feasibility of the theoretical analysis.

Suggested Citation

  • Zhang, Meijie & Yang, Xinsong & Xiang, Zhengrong & Liu, Xiaoyang, 2023. "Consensus of nonlinear MAS via double nonidentical mode-dependent event-triggered switching control," Applied Mathematics and Computation, Elsevier, vol. 453(C).
    • Handle: RePEc:eee:apmaco:v:453:y:2023:i:c:s0096300323002540
    DOI: 10.1016/j.amc.2023.128085
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    References listed on IDEAS

    as
    1. Yujiao Liu & Rongqiang Tang & Chao Zhou & Zhengrong Xiang & Xinsong Yang, 2020. "Event-triggered leader-following consensus of multiple mechanical systems with switched dynamics," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(16), pages 3563-3572, December.
    2. Chen, Liping & Li, Xiaomin & Chen, YangQuan & Wu, Ranchao & Lopes, António M. & Ge, Suoliang, 2022. "Leader-follower non-fragile consensus of delayed fractional-order nonlinear multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    3. He, Xiaoyan & Wang, Qingyun & Yu, Wenwu, 2015. "Distributed finite-time containment control for second-order nonlinear multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 509-521.
    4. Guo, Xiyue & Liang, Hongjing & Pan, Yingnan, 2020. "Observer-Based Adaptive Fuzzy Tracking Control for Stochastic Nonlinear Multi-Agent Systems with Dead-Zone Input," Applied Mathematics and Computation, Elsevier, vol. 379(C).
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