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Consensus Control of Leaderless and Leader-Following Coupled PDE-ODEs Modeled Multi-Agent Systems

Author

Listed:
  • Xu Ni

    (Faculty of Management and Economics, Kunming University of Science and Technology, Kunming 650500, China
    All authors contributed equally to this work.)

  • Kejia Yi

    (Systems Engineering Research Institute, China State Shipbuilding Corporation Limited, Beijing 100094, China
    All authors contributed equally to this work.)

  • Yiming Jiang

    (School of Precision Instrument and Opto-electronics Engineering, Tianjin Univeristy, Tianjin 300072, China
    All authors contributed equally to this work.)

  • Ancai Zhang

    (School of Automation and Electrical Engineering, Linyi University, Linyi 276005, China
    All authors contributed equally to this work.)

  • Chengdong Yang

    (School of Information Science and Technology, Linyi University, Linyi 276005, China
    All authors contributed equally to this work.)

Abstract

This paper discusses consensus control of nonlinear coupled parabolic PDE-ODE-based multi-agent systems (PDE-ODEMASs). First, a consensus controller of leaderless PDE-ODEMASs is designed. Based on a Lyapunov-based approach, coupling strengths are obtained for leaderless PDE-ODEMASs to achieve leaderless consensus. Furthermore, a consensus controller in the leader-following PDE-ODEMAS is designed and the corresponding coupling strengths are obtained to ensure the leader-following consensus. Two examples show the effectiveness of the proposed methods.

Suggested Citation

  • Xu Ni & Kejia Yi & Yiming Jiang & Ancai Zhang & Chengdong Yang, 2022. "Consensus Control of Leaderless and Leader-Following Coupled PDE-ODEs Modeled Multi-Agent Systems," Mathematics, MDPI, vol. 10(2), pages 1-14, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:201-:d:721205
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    References listed on IDEAS

    as
    1. Yilong Yang & Zhijian Ji & Lei Tian & Huizi Ma & Qingyuan Qi, 2019. "Bipartite Consensus of High-Order Edge Dynamics on Coopetition Multiagent Systems," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-12, June.
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    Cited by:

    1. Branislav Rehák & Anna Lynnyk & Volodymyr Lynnyk, 2024. "Synchronization of Multi-Agent Systems Composed of Second-Order Underactuated Agents," Mathematics, MDPI, vol. 12(21), pages 1-19, October.
    2. Chuanhai Yang & Jin Wang & Shengfa Miao & Bin Zhao & Muwei Jian & Chengdong Yang, 2022. "Boundary Coupling for Consensus of Nonlinear Leaderless Stochastic Multi-Agent Systems Based on PDE-ODEs," Mathematics, MDPI, vol. 10(21), pages 1-15, November.
    3. Jiaojiao Zhuang & Zhenxing Li & Zongxiang Hou & Chengdong Yang, 2022. "Event-Triggered Consensus Control of Nonlinear Strict Feedback Multi-Agent Systems," Mathematics, MDPI, vol. 10(9), pages 1-16, May.

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