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H∞ consensus regions of multi-agent systems

  • Zhongkui LI*
  • , Zhisheng DUAN
  • , Guanrong Chen
  • *Corresponding author for this work

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

Abstract

This paper addresses the distributed H∞ consensus problem of linear or linearized multi-agent systems subject to external disturbances. A distributed consensus protocol is proposed, based on the relative states of neighboring agents. The distributed H∞ consensus problem of such a multi-agent network is cast into the H∞ control problem of a set of independent systems having the same dimension as that of a single agent. The notion of H∞ consensus region is then introduced and analyzed. A necessary and sufficient condition for the existence of a protocol having an unbounded H∞ consensus region is derived. A multi-step procedure is further presented for constructing such a protocol. It is shown that the H∞ performance limit of the consensus of the multi-agent network is equal to the minimal H∞ norm of a single agent achieved by using a state feedback controller.
Original languageEnglish
Title of host publicationProceedings of the 29th Chinese Control Conference
PublisherIEEE Computer Society
Pages4601-4606
ISBN (Electronic)9787894631046
ISBN (Print)9781424462636
Publication statusPublished - Jul 2010
Event29th Chinese Control Conference (CCC'10) - Beijing, China
Duration: 29 Jul 201031 Jul 2010

Publication series

Name
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference29th Chinese Control Conference (CCC'10)
PlaceChina
CityBeijing
Period29/07/1031/07/10

Research Keywords

  • Consensus
  • Consensus region
  • Multi-agent system
  • Performance limit
  • H∞ Control

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