文章检索

二阶多智能体系统的一致性分析

  • 高彦平 ,
  • 姜同强 ,
  • 王雯 ,
  • 魏伟 ,
  • 赵虹晔 ,
  • 赵左西
展开
  • 北京工商大学计算机与信息工程学院,北京 100048
高彦平(1982-),女,河南开封人,博士,讲师,主要研究方向为复杂系统控制。

收稿日期: 2013-04-02

  网络出版日期: 2026-06-22

基金资助

国家自然科学基金(61203150);北京市自然科学基金(4122019);大学生科学研究与创业行动计划项目(PXM2012_014213_000067);北京工商大学教改项目(jg125107)

Consensus Analysis of Second-Order Multi-Agent Systems

  • GAO Yanping ,
  • JIANG Tongqiang ,
  • WANG Wen ,
  • WEI Wei ,
  • ZHAO Hongye ,
  • ZHAO Zuoxi
Expand
  • College of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, China

Received date: 2013-04-02

  Online published: 2026-06-22

摘要

研究了二阶连续多智能体系统的一致性问题,其中每个智能体能够实时获得自己的速度信息,但是只能在一些离散时刻上获得自己和邻居的相对位置信息。在给定的控制输入下,建立了一致性成立的充要条件,并将该理论结果应用到多机器人编队控制问题中。提供的数值仿真进一步验证了理论结果的有效性。

本文引用格式

高彦平 , 姜同强 , 王雯 , 魏伟 , 赵虹晔 , 赵左西 . 二阶多智能体系统的一致性分析[J]. 复杂系统与复杂性科学, 2014 , 11(4) : 87 -91 . DOI: 10.13306/j.1672-3813.2014.04.015

Abstract

This paper studies the consensus problem of multiple agents with continuous-time second-order dynamics, where each agent can obtain its velocity at any time, and can only obtain its position relative to its neighbors at discrete times. Under the given controller, some sufficient and necessary conditions are established, which are further applied to formation control of multiple robots. Simulations are performed to validate the theoretical results.

参考文献

[1] Ren W, Beard R W, Atkins E M. Information consensus in multivehicle cooperative control[J]. IEEE Control Systems Magazine, 2007, 27(2):71-82.
[2] 楚天广,陈志福,王龙,等. 群体动力学与协调控制[C].第26届中国控制会议.张家界,2007:644-616.
Chu Tianguang, Chen Zhifu,Wang Long,et al.Swarm dynamics and coordinated control[C].Proceedings of the 26th Chinese Control Confe-rence. Zhangjiajie, 2007, 611-615.
[3] Wang L, Xiao F. Finite-time consensus problems for networks of dynamic agents[J]. IEEE Transactions on Automatic Control, 2010, 55(4):950-955.
[4] Abaid N, Porfiri M. Consensus over numerosity-constrained random networks[J]. IEEE Transactions on Automatic Control, 2011, 56(3):649-654.
[5] Yu J Y, Wang L. Group consensus of multi-agent systems with directed information exchange[J]. International Journal of System and Science, 2012, 43(2):334-348.
[6] Xie G M, Wang L. Consensus control for a class of networks of dynamic agents[J]. International Journal of Robust and Nonlinear Control, 2007, 17(10/11):941-959.
[7] Lin P, Jia Y M. Consensus of a class of second-order multi-agent systems with time-delay and jointly connected topologies[J]. IEEE Transactions on Automatic Control, 2010,55 (3):778-784.
[8] Lin P, Jia Y M. Further results on decentralized coordination in networks of agents with second-order dynamics[J]. IET Control Theory and Applications, 2009, 3(7):957-970.
[9] Godsil C, Royal G. Algebraic Graph Theory[M]. New York:Springer-Verlag, 2001.
[10] Gao Y P, Wang L. Asynchronous consensus of continuous-time multi-agent systems with intermittent measurement[J]. International Journal of Control, 2010, 83(3):552-562.
[11] Jiang F C, Wang L. Finite-time weighted average consensus with respect to a monotonic function and its application[J]. Systems & Control Le-tters, 2011, 60(9):718-725.
文章导航

/

〈 〉