Please wait a minute...
Frontiers of Electrical and Electronic Engineering

ISSN 2095-2732

ISSN 2095-2740(Online)

CN 10-1028/TM

Front. Electr. Electron. Eng.    2008, Vol. 3 Issue (3) : 283-289    https://doi.org/10.1007/s11460-008-0057-8
Tracking control for first-order multi-agent systems
LIU Yang, JIA Yingmin
The Seventh Research Division, Beihang University;
 Download: PDF(155 KB)   HTML
 Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract In this paper, the conventional tracking control problem is expanded to first-order multi-agent systems, which can be solved by directly guiding any agent in the group. The following three kinds of desired motions are considered for all agents to track: 1) stillness in space, 2) variable motion with known acceleration, 3) variable motion with partly unknown acceleration. Specifically, fixed networks with time delays and switching networks without delays are both considered in case 1). Switching networks with and without time delays are both studied in case 2), while for 3), switching networks without delays are mainly investigated. A numerical simulation example is included to illustrate the results.
Issue Date: 05 September 2008
 Cite this article:   
JIA Yingmin,LIU Yang. Tracking control for first-order multi-agent systems[J]. Front. Electr. Electron. Eng., 2008, 3(3): 283-289.
 URL:  
https://academic.hep.com.cn/fee/EN/10.1007/s11460-008-0057-8
https://academic.hep.com.cn/fee/EN/Y2008/V3/I3/283
1 Jadbabaie A Lin J Morse A S Coordination of groups of mobile autonomous agents usingnearest neighbor rulesIEEE Transactionson Automatic Control 2003 48(6)9881001.
doi:10.1109/TAC.2003.812781
2 Liu Y Jia Y Du J et al.Average-consensus problem in multi-agent systemsIn: Proceedings of the European Control Conference,Greece 2007 889895
3 Liu Y Jia Y Necessary and sufficient conditionsfor consensus in second-order multi-agent systems with fixed topologyand time-delaysIn: Proceedings of InternationalSymposium on Humanized Systems, Japan 2007 2124
4 Hong Y Hu J Gao L Tracking control for multi-agent consensus with an activeleader and variable topologyAutomatica 2006 42(7)11771182.
doi:10.1016/j.automatica.2006.02.013
5 Ferrari-Trecate G Buffa A Gati M Analysis of coordination in multi-agent systems throughpartial difference equationsIEEE Transactionson Automatic Control 2006 51(6)10581063.
doi:10.1109/TAC.2006.876805
6 Bliman P-A Ferrari-Trecate G Average consensus problemsin networks of agents with delayed communicationsIn: Proceedings of the 44th IEEE Conference on Decision and Control,and the European Control ConferenceSpainSeville 2005 70667071
7 Han J Guo L Li M Guiding a group of locally interacting autonomous mobileagentsIn: Proceedings of the 24th ChineseControl Conference, China: Guangzhou 2005 184187
8 Hu J Hong Y Leader-following coordinationof multi-agent systems with coupling time delaysPhysica A 2007 374(2)853863.
doi:10.1016/j.physa.2006.08.015
9 Lin P Jia Y Average consensus in networksof multi-agents with both switching topology and coupling time-delayPhysica A 2008 387(1)303313.
doi:10.1016/j.physa.2007.08.040
10 Bensoussan A Menaldi J-L Difference equations on weightedgraphsJournal of Convex Analysis (SpecialIssue in Honor of Claude Lemaréchal) 2005 12(1)1344
11 Hale J K Verduyn Lunel S M Introduction to FunctionalDifferential Equations. ser. Applied Mathematical Sciences 99New YorkSpringer-Verlag 1993
12 Jia Y Robust H ControlBeijingSciencePress 2007 (in Chinese)
13 Khalil H K NonlinearSystems (in Chinese, trans. Zhu Yisheng, Dong Hui, Li Zuozhou)BeijingPublishingHouse of Electronics Industry 2005
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed