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复杂系统与复杂性科学  2026, Vol. 23 Issue (2): 75-85    DOI: 10.13306/j.1672-3813.2026.02.010
  无人系统 本期目录 | 过刊浏览 | 高级检索 |
两类拓扑下多智能体系统的编队控制与收敛速率优化
刘振亚a, 纪志坚a,b
青岛大学 a.自动化学院; b.山东省工业控制重点实验室,山东 青岛 266071
Formation Control and Convergence Rate Optimization of Multi-agent Systems Under Two Types of Topologies
LIU Zhenyaa, JI Zhijiana,b
a. School of Automation; b. Shandong Key Laboratory of Industrial Control Technology, Qingdao University, Qingdao 266071, China
全文: PDF(1769 KB)  
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摘要 针对离散及连续时间多智能体系统在给定拓扑结构下的编队控制与收敛速率优化问题进行研究,这两种系统分别具有一类拓扑结构。针对离散多智能体编队系统,根据谱半径的性质得出使系统达到稳定状态的控制增益取值范围和使收敛速率达到最大的控制增益取值。针对连续时间多智能体系统,通过对系统施加一组常数扰动,得到一种连续时间多智能体系统的编队控制方法。最后,针对上述两种系统,给出了通过对系统施加单边扰动来增大系统收敛速率的算法。
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刘振亚
纪志坚
关键词 多智能体系统编队控制控制增益稳定性收敛速率    
Abstract:In this paper, the formation control and convergence rate optimization of discrete and continuous time multi-agent systems with a given topology are studied. For the discrete multi-agent formation system, the range of control gain to make the system reach the stable state and the maximum convergence rate are obtained according to the properties of spectral radius. A continuous time multi-agent system formation control method is obtained by applying a set of constant perturbations to the continuous time multi-agent system. Finally, for the two systems mentioned above, an algorithm is given to increase the convergence rate by applying unilateral disturbance to the system.
Key wordsmulti agent system    formation control    control gain    stability    convergence rate
收稿日期: 2023-11-16      出版日期: 2026-05-19
:  TB3  
  TP13  
基金资助:国家自然科学基金(62373205,62033007);山东省泰山学者特聘教授人才支持计划(tstp20230624,ts20190930);山东省泰山学者攀登计划(tstp20230624,ts20190930)
通讯作者: 纪志坚(1973-),男,山东青岛人,博士,教授,主要研究方向为多智能体网络系统,复杂网络的分析与控制等。   
作者简介: 刘振亚(1996-),男,山东菏泽人,硕士研究生,主要研究方向为多智能体网络系统。
引用本文:   
刘振亚, 纪志坚. 两类拓扑下多智能体系统的编队控制与收敛速率优化[J]. 复杂系统与复杂性科学, 2026, 23(2): 75-85.
LIU Zhenya, JI Zhijian. Formation Control and Convergence Rate Optimization of Multi-agent Systems Under Two Types of Topologies[J]. Complex Systems and Complexity Science, 2026, 23(2): 75-85.
链接本文:  
https://fzkx.qdu.edu.cn/CN/10.13306/j.1672-3813.2026.02.010      或      https://fzkx.qdu.edu.cn/CN/Y2026/V23/I2/75
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