广西师范大学学报（自然科学版） ›› 2018, Vol. 36 ›› Issue (1): 70-75.doi: 10.16088/j.issn.1001-6600.2018.01.009

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领导—跟随多智能体系统在分布式自适应控制下的滞后一致性

呼文军1,马忠军2,马梅2   

  1. 1.吕梁学院数学系,山西吕梁033000;
    2.桂林电子科技大学数学与计算科学学院,广西桂林541004
  • 收稿日期:2017-05-30 出版日期:2018-01-20 发布日期:2018-07-17
  • 通讯作者: 马忠军(1973—),男,湖南邵阳人,桂林电子科技大学教授。E-mail:mzj1234402@163.com
  • 基金资助:
    国家自然科学基金(11562006,61663006);广西自然科学基金(2015GXNSFAA139013);广西优秀中青年骨干教师培养工程项目(GXQG022014025);吕梁学院校级基金(ZRQN201515)

Delay Consensus of Leader-following Multi-agent Systems via the Adaptive Distributed Control

HU Wenjun1,MA Zhongjun2,MA Mei2   

  1. 1. Department of Mathematics, Lüliang University,Lüliang Shanxi 033000,China;
    2. School of Mathematics and Computing Science, Guilin University of Electronic Technology,Guilin Guangxi 541004,China
  • Received:2017-05-30 Online:2018-01-20 Published:2018-07-17

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摘要： 本文研究个体自身动力学具有滞后效应的领导—跟随多智能体系统的滞后一致性问题。首先,给出一个基于邻居信息和领导者信息的分布式控制协议,其中的控制增益是自适应的。然后,在这个控制协议下,运用稳定性理论,导出了该系统实现滞后一致性的充分条件。最后,数值模拟验证了理论结果的有效性和可行性。

关键词: 领导—跟随, 多智能体系统, 滞后, 一致性

Abstract: In this paper,the delay consensus problem of leader-following multi-agent systems with delay is considered. First,based only on information of the neighbors and the leader,a distributed control protocol is proposed, in which control gain is adaptive. Then,under this protocol,by applying the stability theory,a sufficient condition for the realization of delay consensus in the system is derived. Finally,some numerical simulations are given to illustrate the effectiveness and feasibility of the theoretical results.

Key words: leader-follow;multi-agent system;delay;consensus

中图分类号: 

  • O231
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