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含时延的多智能体系统的多静态领导者包容控制

  • 李勃 ,
  • 陈增强 ,
  • 刘忠信 ,
  • 张青 ,
  • 李勃 ,
  • 陈增强 ,
  • 刘忠信 ,
  • 张青
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  • 1.南开大学计算机与控制工程学院,天津 300071;
    2.中国民航大学理学院,天津 300300
李勃(1972-),男,山东龙口人,博士研究生,主要研究方向为多智能体系统的包容控制。

收稿日期: 2014-11-20

  修回日期: 2015-01-12

  网络出版日期: 2025-02-25

基金资助

国家自然科学基金(61174094);天津自然科学基金(14JCYBJC18700,13JCYBJC17400)

Containment Control for Multi-Agent System with Multiple Stationary Leaders and Time-Delays

  • LI Bo ,
  • CHEN Zengqiang ,
  • LIU Zhongxin ,
  • ZHANG Qing ,
  • LI Bo ,
  • CHEN Zengqiang ,
  • LIU Zhongxin ,
  • ZHANG Qing
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  • 1. College of Computer & Control Engineering, Nankai University, Tianjin 300071, China;
    2.College of Science, Civil Aviation University of China, Tianjin 300300, China

Received date: 2014-11-20

  Revised date: 2015-01-12

  Online published: 2025-02-25

摘要

对基于有向固定拓扑的多静态领导者的多智能体系统的包容控制问题进行研究。在系统中智能体之间信息传递存在固定通信时延的情况下,应用拉普拉斯变换技术分别研究一阶和二阶连续时间多智能体系统,通过对系统传递函数的稳定性分析而求取系统状态稳定条件,并应用终值定理,最终得到了保证系统实现包容控制的时延限制条件,最后用仿真验证了该结论的有效性。

本文引用格式

李勃 , 陈增强 , 刘忠信 , 张青 , 李勃 , 陈增强 , 刘忠信 , 张青 . 含时延的多智能体系统的多静态领导者包容控制[J]. 复杂系统与复杂性科学, 2016 , 13(2) : 105 -110 . DOI: 10.13306/j.1672-3813.2016.02.013

Abstract

This paper is concerned with distributed containment control of multi-agent system with multiple stationary leaders under fixed directed network topologies. Under the assumption that communication time-delays in all channels are equal, the Laplace transform is used to study the first-order and second-order multi-agent delayed system with continuous-time. Some sufficient conditions are obtained to ensure the containment of the multi-agent system by stability analysis for transfer function to get conditions and applying final value theorem. Finally,computer simulations show the effectiveness of the conclusion.

参考文献

[1] Reynolds C W.Flocks,herds and schools a distributed behavioral model[J].Computer Graphics,1987,21(4):25-34.
[2] Vicsek T, Czirok A, Ben Jacob E, et al. Novel type ofphase transition in a system of self-driven particles[J].Physical Review Letters,1995,75(6):1226-1229.
[3] Jadbabaie A, Lin J, Morse A S. Coordination of groupsof mobile agents using nearest neighbor rules[J].IEEETranson Automatic Control,2003,48(6):988-1001.
[4] Moreau L.Stability of multi-agent systems with timedependent communication links[J].IEEE Trans onAutomatic Control,2005,50(2):169-182.
[5] Ren W, Beard R W.Consensus seeking in multi-agentsystems under dynamically changing interactiontopologies[J].IEEE Trans on Automatic Control,2005,50(5):655-661.
[6] JiM,Ferrari-Trecate G, Egerstedt M, et al. Containment control in mobile networks[J].IEEE Transactions onAutomatic Control,2008,53(8):1972-1975.
[7] 于镝,白丽娟,李铖.非线性多智能体网络的分布式包容控制[J].复杂系统与复杂性科学,2013,10(2):63-68.
Yu Di, Bai LiJuan, Li Cheng. Distributed containment control of nonlinear multi-agent networks[J].Complex Systems and Complexity Science,2013,10(2):63-68.
[8] Dong X W,Meng F L,Shi Z Y,et al. Output containment control for swarm systems with general lineardynamics: a dynamic output feedback approach[J].Systems & Control Letters,2014(71):31-37.
[9] Olfati-Saber R, Murray R M. Consensus problems in networks of agents with switching topology and time-delays[J].IEEE Transaction on Automatic Control,2004,49(9):1520-1533.
[10] Yu W W,Chen G R,Cao M. Some necessary and sufficient conditions for second-order consensus inmulti-agent dynamical systems[J].Automatica,2010,46(6):1089-1095.
[11] 杨洪勇,张嗣瀛. 离散时间系统的多智能体的一致性[J].控制与决策,2009,24(3):413-416.
Yang Hongyong, Zhang SiYing.Consensus of multi-agent system with discrete-time[J].Control and Decision, 2009,24(3):413-416.
[12] Xia C Y, Wang Z, Sanz J, et al.Effects of delayed recovery and nonuniform transmission on the spreading of diseases in complex networks[J].Physica A, 2013(392): 1577-1585.
[13] Wang L, Sun S W, Xia C Y. Finite-time stability of multi-agent system in disturbed environment[J].Nonlinear Dynamics,2012,(67):2009-2016.
[14] Xia C Y, Wang L, Sun S W,et al.An SIR model with infection delay and propagation vector in complex networks[J].Nonlinear Dynamics,2012(69): 927-934.
[15] Liu K E, Xie G M, Wang L.Containment control for second-order multi-agent systems withtime-varying delays[J].Systems & Control Letters,2014(67):24-31.
[16] Cao Y C,Ren W,Egerstedt M.Distributed containment control with multiple stationary or dynamic leaders infixed and switching directed networks[J].Automatica, 2012, 48(8): 1586-1597.
[17] Rockafellar R T. Convex Analysis[M].New Jersey:Princeton University Press,1972.
[18] Ren W, Cao Y C.Distributed Coordination of Multi-agent Networks[M].London:Springer, 2011.
[19] Liu H, Xie G M, Wang L. Necessary and sufficient conditions for containmentcontrol of networked multi-agent systems[J].Automatica,2012,48(7):1415-1422.
[20] 胡寿松.自动控制原理[M].5版.北京:科学出版社,2006:636-637.
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