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中国工业与应用数学学会会刊
主管:中华人民共和国教育部
主办:西安交通大学
ISSN 1005-3085  CN 61-1269/O1

工程数学学报 ›› 2024, Vol. 41 ›› Issue (3): 540-550.doi: 10.3969/j.issn.1005-3085.2024.03.012

• • 上一篇    下一篇

不同位移和速度拓扑的多智能体系统协同精确一致性

李军辉   

  1. 甘肃省无线电监测站,兰州 730030
  • 收稿日期:2021-08-20 接受日期:2023-02-06 出版日期:2024-06-15 发布日期:2024-08-15

Coordinated Exactly Consensus of Multi-agent Systems under Different Topologies of Position and Velocity

LI Junhui   

  1. Gansu Province Radio Monitoring Station, Lanzhou 730030
  • Received:2021-08-20 Accepted:2023-02-06 Online:2024-06-15 Published:2024-08-15

摘要: 面向不同状态通信图的领导者–跟随者非线性多智能体精确一致性问题,提出了一种协同迭代学习协议,推得了该智能体在有限区间上精确一致性的充分条件。进一步将该方法推广至多智能体期望编队控制问题,给出了该智能体系统在有限时间上达到精确编队控制协议和条件,新协议可以减少通信代价。通过仿真验证新的学习协议的有效性。在速度拓扑连通而位移拓扑无需连通条件下,得到该智能体的精确一致性和形成期望的编队队形,放松了通信条件,该结果为无人系统编队等问题提供新的途径。

关键词: 二阶多智能体, 不同的位移和速度通信图, 协同迭代学习, 精确一致性

Abstract: The paper proposes a coordinated iterative learning control protocol for a class of second-order leader-follower nonlinear multi-agent system under the different states communication graphs, a sufficient condition of the exact consensus on a finite time interval for the multi-agent system is also given. Furthermore, the proposed scheme is extended to solve the exact formation control problem on a finite time interval for the multi-agent system. The protocols can reduce the communication cost. The efficiency of the proposed methods are illustrated by two simulation examples. The results show that the MAS could obtain the exact consensus and form a desired formation on the finite-time interval under the conditions that the topology of the velocity is connected although the topology of the position is not necessary connected, the communication requirement is relaxed. It provides an efficient approach in the unmanned aerial vehicles formation problem.

Key words: second-order multi-agent system, independent position and velocity communication graph, cooperative iterative learning, exact consensus

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