中国物理B ›› 2023, Vol. 32 ›› Issue (7): 70701-070701.doi: 10.1088/1674-1056/acb9ee

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Fixed-time group consensus of second-order multi-agent systems based on event-triggered control

Xiaoshuai Wu(武肖帅)1, Fenglan Sun(孙凤兰)1,2,3,†, Wei Zhu(朱伟)2, and Jürgen Kurths3,4   

  1. 1 College of Automation, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;
    2 School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;
    3 Department of Complexity Science, Potsdam Institute for Climate Impact Research, Potsdam 14473, Germany;
    4 Institute of Physics, Humboldt University of Berlin, Berlin 12489, Germany
  • 收稿日期:2022-12-22 修回日期:2023-02-05 接受日期:2023-02-08 出版日期:2023-06-15 发布日期:2023-06-29
  • 通讯作者: Fenglan Sun E-mail:sunfl@cqupt.edu.cn
  • 基金资助:
    Project supported by the Graduate Student Research Innovation Project of Chongqing (Grant No. CYS22482), the National Natural Science Foundation of China (Grant No. 61773082), the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJZD-K202000601), and the Research Program of Chongqing Talent, China (Grant No. cstc2021ycjhbgzxm0044).

Fixed-time group consensus of second-order multi-agent systems based on event-triggered control

Xiaoshuai Wu(武肖帅)1, Fenglan Sun(孙凤兰)1,2,3,†, Wei Zhu(朱伟)2, and Jürgen Kurths3,4   

  1. 1 College of Automation, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;
    2 School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;
    3 Department of Complexity Science, Potsdam Institute for Climate Impact Research, Potsdam 14473, Germany;
    4 Institute of Physics, Humboldt University of Berlin, Berlin 12489, Germany
  • Received:2022-12-22 Revised:2023-02-05 Accepted:2023-02-08 Online:2023-06-15 Published:2023-06-29
  • Contact: Fenglan Sun E-mail:sunfl@cqupt.edu.cn
  • Supported by:
    Project supported by the Graduate Student Research Innovation Project of Chongqing (Grant No. CYS22482), the National Natural Science Foundation of China (Grant No. 61773082), the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJZD-K202000601), and the Research Program of Chongqing Talent, China (Grant No. cstc2021ycjhbgzxm0044).

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摘要： The problem of fixed-time group consensus for second-order multi-agent systems with disturbances is investigated. For cooperative-competitive network, two different control protocols, fixed-time group consensus and fixed-time event-triggered group consensus, are designed. It is demonstrated that there is no Zeno behavior under the designed event-triggered control. Meanwhile, it is proved that for an arbitrary initial state of the system, group consensus within the settling time could be obtained under the proposed control protocols by using matrix analysis and graph theory. Finally, a series of numerical examples are propounded to illustrate the performance of the proposed control protocol.

关键词: event-triggered control, group consensus, multi-agent system, fixed-time

Abstract: The problem of fixed-time group consensus for second-order multi-agent systems with disturbances is investigated. For cooperative-competitive network, two different control protocols, fixed-time group consensus and fixed-time event-triggered group consensus, are designed. It is demonstrated that there is no Zeno behavior under the designed event-triggered control. Meanwhile, it is proved that for an arbitrary initial state of the system, group consensus within the settling time could be obtained under the proposed control protocols by using matrix analysis and graph theory. Finally, a series of numerical examples are propounded to illustrate the performance of the proposed control protocol.

Key words: event-triggered control, group consensus, multi-agent system, fixed-time

中图分类号:  (Control systems)

  • 07.05.Dz
02.30.Yy (Control theory) 89.75.-k (Complex systems)