Formation-containment analysis and design for high-order linear time-invariant swarm systems with time delays

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Formation-containment analysis and design problems for high-order time-delayed linear time-invariant swarm systems with directed interaction topologies are studied respectively. Firstly, protocols with time delays are presented for leaders and followers respectively, where the formation for leaders can be time-varying. Then formation-containment problems for time-delayed swarm systems are transformed into asymptotic stability problems. Sufficient conditions for swarm systems to achieve formation-containment are proposed, which include eight linear matrix inequalities independent of the number of leaders and followers. Furthermore, an explicit expression of the formation reference function for leaders is derived, where the motion modes of formation reference can be specified. An approach to determine the gain matrices in the protocols is given using the method of changing variables. Finally, numerical simulations are provided to demonstrate theoretical results.

Original languageEnglish
Title of host publicationProceedings of the 34th Chinese Control Conference, CCC 2015
EditorsQianchuan Zhao, Shirong Liu
PublisherIEEE Computer Society
Pages6847-6853
Number of pages7
ISBN (Electronic)9789881563897
DOIs
StatePublished - 11 Sep 2015
Event34th Chinese Control Conference, CCC 2015 - Hangzhou, China
Duration: 28 Jul 201530 Jul 2015

Publication series

NameChinese Control Conference, CCC
Volume2015-September
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference34th Chinese Control Conference, CCC 2015
Country/TerritoryChina
CityHangzhou
Period28/07/1530/07/15

Keywords

  • Formation-containment control
  • High-order
  • Swarm system
  • Time delay

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