Practical consensus for heterogeneous linear time-varying multi-agent systems

Jaeyong Kim, Jongwook Yang, Jungsu Kim, Hyungbo Shim

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

30 Scopus citations

Abstract

This paper studies practical consensus (PC) problem for linear multi-agent systems (MAS) under a fixed, connected, and undirected communication network. PC means that the difference between any two agents remains in an arbitrarily chosen neighborhood of the origin after some time by using a suitable control law. All the agents, which are heterogeneous first-order linear time-varying (LTV) systems, can collect only relative state information from their neighborhoods. According to the assumptions of MAS, we divide the problem into two cases; one is a class of homogeneous LTV MAS with heterogeneous disturbances where the difference between any two disturbances is bounded, and the other is a class of heterogeneous LTV MAS with heterogeneous bounded disturbances. Finally, we show that PC for each case is always achieved if the control gain is sufficiently large.

Original languageEnglish
Title of host publicationICCAS 2012 - 2012 12th International Conference on Control, Automation and Systems
Pages23-28
Number of pages6
StatePublished - 2012
Event2012 12th International Conference on Control, Automation and Systems, ICCAS 2012 - Jeju, Korea, Republic of
Duration: 17 Oct 201221 Oct 2012

Publication series

NameInternational Conference on Control, Automation and Systems
ISSN (Print)1598-7833

Conference

Conference2012 12th International Conference on Control, Automation and Systems, ICCAS 2012
Country/TerritoryKorea, Republic of
CityJeju
Period17/10/1221/10/12

Keywords

  • heterogeneous multi-agent systems
  • linear time-varying systems
  • practical consensus

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