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Distributed bipartite finite-time event-triggered output consensus for heterogeneous linear multi-agent systems under directed signed communication topology

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  • Cai, Yuliang
  • Zhang, Huaguang
  • Liu, Yang
  • He, Qiang

Abstract

This paper addresses the distributed bipartite finite-time event-triggered output consensus issue for heterogeneous linear multi-agent systems under directed signed communication topology. Both cooperative interaction and antagonistic interaction between neighbor agents are considered. A novel distributed bipartite compensator with intermittent communication mechanism is first proposed to estimate the leader’s states in finite time. Different from the existing schemes, the proposed compensator is able to achieve intermittent communication between neighbors, is capable of estimating the leader’s states within finite time, and is applicable for the directed signed communication topology. Based on the developed compensator, the distributed state feedback control protocol is designed such that the bipartite output consensus problem can be achieved within finite time. Moreover, the observer-based output feedback control protocol is put forward to address the case that the system states are not available for measurement. Furthermore, the Zeno behavior can be excluded by choosing the appropriate parameters. Finally, two examples are given to illustrate the feasibility of the theoretical results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:378:y:2020:i:c:s0096300320301314
    DOI: 10.1016/j.amc.2020.125162
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    References listed on IDEAS

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    1. Wang, Jinhuan & Xu, Yuling & Xu, Yong & Yang, Dedong, 2019. "Time-varying formation for high-order multi-agent systems with external disturbances by event-triggered integral sliding mode control," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 333-343.
    2. He, Xiaoyan & Wang, Qingyun, 2017. "Distributed finite-time leaderless consensus control for double-integrator multi-agent systems with external disturbances," Applied Mathematics and Computation, Elsevier, vol. 295(C), pages 65-76.
    3. Ma, Qian & Miao, Guoying, 2015. "Output consensus for heterogeneous multi-agent systems with linear dynamics," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 548-555.
    4. 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.
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    Cited by:

    1. Cai, Yuliang & Dai, Jing & Zhang, Huaguang & Wang, Yingchun, 2021. "Fixed-time leader-following/containment consensus of nonlinear multi-agent systems based on event-triggered mechanism," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    2. Shi, Sangli & Wang, Zhengxin & Song, Qiang & Xiao, Min & Jiang, Guo-Ping, 2022. "Leader-following quasi-bipartite synchronization of coupled heterogeneous harmonic oscillators via event-triggered control," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    3. Gao, Shuo & Wen, Guoguang & Zhai, Xiaoqin & Zheng, Peng, 2023. "Finite-/fixed-time bipartite consensus for first-order multi-agent systems via impulsive control," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    4. Wang, Xin & Zhai, Shidong & Luo, Guoqiang & Huang, Tao, 2022. "Cluster synchronization in a network of nonlinear systems with directed topology and competitive relationships," Applied Mathematics and Computation, Elsevier, vol. 421(C).

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