H2 suboptimal leader-follower consensus control of multi-agent systems

Yuan Gao, Junjie Jiao, Sandra Hirche

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

1 Scopus citations

Abstract

In this paper, we investigate the distributed H2 suboptimal leader-follower consensus control problem for linear multi-agent systems using dynamic output feedback. By considering an autonomous leader, a number of followers, and an associated H2 cost functional, we aim to design a distributed protocol to ensure that the leader-follower consensus is achieved while the associated H2 cost is smaller than an a priori given upper bound. To this end, we first show that the H2 suboptimal leader-follower consensus control problem can be equivalently derived as the H2 suboptimal control problem of a set of independent systems. Based on this, we then present a design method for computing a distributed protocol. The computation of the feedback gains involves two Riccati inequalities whose dimension matches the state dimension of the agents. A simulation example is provided to demonstrate the performance of the proposed protocol.

Original languageEnglish
Title of host publicationIFAC-PapersOnLine
EditorsHideaki Ishii, Yoshio Ebihara, Jun-ichi Imura, Masaki Yamakita
PublisherElsevier B.V.
Pages2614-2619
Number of pages6
Edition2
ISBN (Electronic)9781713872344
DOIs
StatePublished - 1 Jul 2023
Event22nd IFAC World Congress - Yokohama, Japan
Duration: 9 Jul 202314 Jul 2023

Publication series

NameIFAC-PapersOnLine
Number2
Volume56
ISSN (Electronic)2405-8963

Conference

Conference22nd IFAC World Congress
Country/TerritoryJapan
CityYokohama
Period9/07/2314/07/23

Keywords

  • Distributed control
  • H optimal control
  • leader-follower systems
  • multi-agent systems
  • suboptimal control

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