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Event-triggered consensus of multi-agent systems with nonlinear dynamics and communication delay

Author

Listed:
  • Wang, Yangling
  • Cao, Jinde
  • Wang, Haijun
  • Alsaadi, Fuad E.

Abstract

This paper investigates the leader-following consensus of multi-agent systems with nonlinear inherent dynamics and time delays via event-triggered control and pinning control methods. The communication topology among the agents is characterized by a directed graph containing a spanning tree with the leader agent as the root. Based on measurement errors and an exponential decay function, we propose a novel event triggering rule which can not only avoid the continuous communication, but also exclude the Zeno-behavior. Moreover, each agent is required to be triggered only at its own triggering time instants. By using the properties of M−matrix and Lyapunov–Krasovskii functional method, we derive some sufficient leader-following consensus criteria in forms of LMIs. An example is presented to show the effectiveness of the theoretical results obtained in this paper.

Suggested Citation

  • Wang, Yangling & Cao, Jinde & Wang, Haijun & Alsaadi, Fuad E., 2019. "Event-triggered consensus of multi-agent systems with nonlinear dynamics and communication delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 147-157.
    • Handle: RePEc:eee:phsmap:v:522:y:2019:i:c:p:147-157
    DOI: 10.1016/j.physa.2019.01.124
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    References listed on IDEAS

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    1. Hu, Aihua & Cao, Jinde & Hu, Manfeng & Guo, Liuxiao, 2015. "Cluster synchronization of complex networks via event-triggered strategy under stochastic sampling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 99-110.
    2. Dong, Tao & Wang, Aijuan & Zhu, Huiyun & Liao, Xiaofeng, 2018. "Event-triggered synchronization for reaction–diffusion complex networks via random sampling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 454-462.
    3. Zhang, Shouxu & Xie, Duosi & Yan, Weisheng, 2017. "Decentralized event-triggered consensus control strategy for leader–follower networked systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 498-508.
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    Citations

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    Cited by:

    1. Cai, Yuliang & Zhang, Huaguang & Liu, Yang & He, Qiang, 2020. "Distributed bipartite finite-time event-triggered output consensus for heterogeneous linear multi-agent systems under directed signed communication topology," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    2. Gao, Meng & Zhang, Lihua & Qi, Wenhai & Cao, Jinde & Cheng, Jun & Kao, Yonggui & Wei, Yunliang & Yan, Xiaoyu, 2020. "SMC for semi-Markov jump T-S fuzzy systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    3. Zhang, Juan & Zhang, Huaguang & Li, Weihua & Li, Keqin, 2021. "Distributed edge-event triggered consensus control for multi-agent systems by edge-based asynchronous communications," Applied Mathematics and Computation, Elsevier, vol. 397(C).

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