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Decentralized adaptive consensus control of uncertain nonlinear systems under directed topologies

  • Wei Wang
  • , Jiangshuai Huang
  • , Huijin Fan
  • , Wei Jiang
  • Tsinghua University
  • National University of Singapore
  • Huazhong University of Science and Technology
  • Beihang University

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

Abstract

In this paper, a decentralized adaptive backstepping control strategy is presented to solve leaderless and leader-following consensus problems for the outputs of nonlinear multi-agent systems with arbitrary subsystem orders and parametric uncertainties. Suppose that the information exchange conditions among distinct subsystems in the entire group can be represented by a directed topology and the corresponding connectivity matrix is unknown to each subsystem. In contrast to most of the existing results, Lyapunov function is not defined directly based on local consensus errors in all subsystems with the output information of their neighbors involved. Thus the difficulties in treating coupled terms related to local consensus errors and other subsystems' parameter estimation errors, which are resulted from asymmetric property of directed graph, can be overcome. It is shown that with our proposed strategy, all the closed-loop signals are ensured uniformly ultimately bounded and asymptotical consensus can be achieved.

Original languageEnglish
Title of host publicationProceedings of the 34th Chinese Control Conference, CCC 2015
EditorsQianchuan Zhao, Shirong Liu
PublisherIEEE Computer Society
Pages7090-7095
Number of pages6
ISBN (Electronic)9789881563897
DOIs
StatePublished - 11 Sep 2015
Externally publishedYes
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

  • Adaptive Control
  • Consensus
  • Directed Topology
  • Multi-agent Systems
  • Parametric Uncertainties

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