Robust consensus algorithm for multi-agent systems with exogenous disturbances under convergence conditions

In this paper, a robust consensus algorithm is developed and sufficient conditions for convergence to consensus are proposed for a multi-agent system (MAS) with exogenous disturbances subject to partial information. By utilizing H ∞ robust control, differential game theory and a design-based approac...

Full description

Saved in:
Bibliographic Details
Published in:International journal of systems science Vol. 45; no. 9; pp. 1869 - 1879
Main Authors: Jiang, Yulian, Liu, Jianchang, Tan, Shubin, Ming, Pingsong
Format: Journal Article
Language:English
Published: Taylor & Francis 02.09.2014
Subjects:
Agents (artificial intelligence)
Algorithms
consensus algorithm
Convergence
convergence conditions
differential game
Differential games
Disturbances
Expert systems
Interference
multi-agent system
Robust control
ISSN:0020-7721, 1464-5319
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract In this paper, a robust consensus algorithm is developed and sufficient conditions for convergence to consensus are proposed for a multi-agent system (MAS) with exogenous disturbances subject to partial information. By utilizing H ∞ robust control, differential game theory and a design-based approach, the consensus problem of the MAS with exogenous bounded interference is resolved and the disturbances are restrained, simultaneously. Attention is focused on designing an H ∞ robust controller (the robust consensus algorithm) based on minimisation of our proposed rational and individual cost functions according to goals of the MAS. Furthermore, sufficient conditions for convergence of the robust consensus algorithm are given. An example is employed to demonstrate that our results are effective and more capable to restrain exogenous disturbances than the existing literature.
AbstractList In this paper, a robust consensus algorithm is developed and sufficient conditions for convergence to consensus are proposed for a multi-agent system (MAS) with exogenous disturbances subject to partial information. By utilizing H ∞ robust control, differential game theory and a design-based approach, the consensus problem of the MAS with exogenous bounded interference is resolved and the disturbances are restrained, simultaneously. Attention is focused on designing an H ∞ robust controller (the robust consensus algorithm) based on minimisation of our proposed rational and individual cost functions according to goals of the MAS. Furthermore, sufficient conditions for convergence of the robust consensus algorithm are given. An example is employed to demonstrate that our results are effective and more capable to restrain exogenous disturbances than the existing literature.
In this paper, a robust consensus algorithm is developed and sufficient conditions for convergence to consensus are proposed for a multi-agent system (MAS) with exogenous disturbances subject to partial information. By utilizing H sub( infinity ) robust control, differential game theory and a design-based approach, the consensus problem of the MAS with exogenous bounded interference is resolved and the disturbances are restrained, simultaneously. Attention is focused on designing an H sub( infinity ) robust controller (the robust consensus algorithm) based on minimisation of our proposed rational and individual cost functions according to goals of the MAS. Furthermore, sufficient conditions for convergence of the robust consensus algorithm are given. An example is employed to demonstrate that our results are effective and more capable to restrain exogenous disturbances than the existing literature.
Author Jiang, Yulian
Ming, Pingsong
Liu, Jianchang
Tan, Shubin
Author_xml – sequence: 1
  givenname: Yulian
  surname: Jiang
  fullname: Jiang, Yulian
  email: jiangneu@gmail.com
  organization: State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University
– sequence: 2
  givenname: Jianchang
  surname: Liu
  fullname: Liu, Jianchang
  organization: State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University
– sequence: 3
  givenname: Shubin
  surname: Tan
  fullname: Tan, Shubin
  organization: State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University
– sequence: 4
  givenname: Pingsong
  surname: Ming
  fullname: Ming, Pingsong
  organization: State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University
BookMark eNqFkU9v1DAQxS1UJLaFb8AhRy5Z_N8JF4QqCpUqISE4W15nXAyJXTwOZb89jhYuPdDTjGZ-72nsd07OUk5AyEtG94wO9DWlnBrD2Z5TxvdGGTHIJ2THpJa9Emw8I7sN6TfmGTlH_E4pVYrTHfnxOR9WrJ3PCSHhip2bb3OJ9dvShVy6ZZ1r7N0tpNrhESss2N23bQe_cxvmJpgi1rUcXPKA3ZomKJvbLyht72Hrp1hj839OngY3I7z4Wy_I16v3Xy4_9jefPlxfvrvpvTCi9gBSen3QepTMmMlz8NoEMehpAA5h4D54PQo5qklRZVxrmYDRHKSG4IMQF-TVyfeu5J8rYLVLRA_z7BK0gy0zSig2aMEfR5UateJGDQ19c0J9yYgFgvWxuu1htbg4W0btFob9F4bdwrCnMJpYPhDflbi4cnxM9vYki6mFsbj7XObJVneccwml_XhEK_7r8AfFJKSd
CitedBy_id crossref_primary_10_1109_TAES_2019_2906437
crossref_primary_10_1177_0142331214544697
crossref_primary_10_1080_00207721_2014_901581
crossref_primary_10_1002_asjc_1007
crossref_primary_10_1080_00207721_2016_1160457
crossref_primary_10_1109_TCYB_2020_3014240
Cites_doi 10.1016/j.automatica.2011.02.003
10.1109/TII.2007.911895
10.1109/91.919256
10.1080/00207721003768167
10.1109/TAC.2003.812781
10.1109/TAC.2011.2162892
10.1080/00207720903267866
10.1109/TAC.2005.846556
10.1017/CBO9780511546877
10.1109/TAC.2004.834113
10.1109/TAC.2005.864190
10.1109/MCS.2007.338264
10.1016/j.automatica.2008.04.016
10.1016/j.automatica.2009.06.006
10.1016/j.asoc.2009.10.020
10.1016/j.automatica.2011.03.014
ContentType Journal Article
Copyright 2012 Taylor & Francis 2012
Copyright_xml – notice: 2012 Taylor & Francis 2012
DBID AAYXX
CITATION
7SC
8FD
JQ2
L7M
L~C
L~D
DOI 10.1080/00207721.2012.757384
DatabaseName CrossRef
Computer and Information Systems Abstracts
Technology Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Computer and Information Systems Abstracts
Technology Research Database
Computer and Information Systems Abstracts – Academic
Advanced Technologies Database with Aerospace
ProQuest Computer Science Collection
Computer and Information Systems Abstracts Professional
DatabaseTitleList
Computer and Information Systems Abstracts
Computer and Information Systems Abstracts
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1464-5319
EndPage 1879
ExternalDocumentID 10_1080_00207721_2012_757384
757384
Genre Article
GroupedDBID -~X
.7F
.DC
.QJ
0BK
0R~
29J
30N
4.4
5GY
5VS
8VB
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABFIM
ABHAV
ABJNI
ABLIJ
ABPAQ
ABPEM
ABTAI
ABXUL
ABXYU
ACGEJ
ACGFS
ACNCT
ACTIO
ADCVX
ADGTB
ADXPE
AEISY
AENEX
AEOZL
AEPSL
AEYOC
AFKVX
AFRVT
AGDLA
AGMYJ
AHDZW
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AQRUH
AQTUD
AVBZW
AWYRJ
BLEHA
CCCUG
CE4
CS3
DGEBU
DKSSO
DU5
EBS
EJD
E~A
E~B
F5P
GTTXZ
H13
HF~
HZ~
H~P
IPNFZ
J.P
KYCEM
M4Z
MS~
NA5
NX~
O9-
P2P
QWB
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TASJS
TBQAZ
TDBHL
TEN
TFL
TFT
TFW
TNC
TTHFI
TUROJ
TWF
UT5
UU3
ZGOLN
ZL0
~02
~S~
AAYXX
CITATION
7SC
8FD
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c373t-ee44c6b6694177dc2ec67f386d8e2ef82cfc693495d5057a93413e97b46efcf33
IEDL.DBID TFW
ISICitedReferencesCount 7
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000337363900005&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0020-7721
IngestDate Thu Oct 02 09:48:05 EDT 2025
Thu Sep 04 16:15:20 EDT 2025
Sat Nov 29 02:12:32 EST 2025
Tue Nov 18 21:58:47 EST 2025
Mon Oct 20 23:47:53 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 9
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c373t-ee44c6b6694177dc2ec67f386d8e2ef82cfc693495d5057a93413e97b46efcf33
Notes ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ObjectType-Article-1
ObjectType-Feature-2
PQID 1559652758
PQPubID 23500
PageCount 11
ParticipantIDs proquest_miscellaneous_1559652758
informaworld_taylorfrancis_310_1080_00207721_2012_757384
crossref_citationtrail_10_1080_00207721_2012_757384
proquest_miscellaneous_1753518632
crossref_primary_10_1080_00207721_2012_757384
PublicationCentury 2000
PublicationDate 2014-09-02
PublicationDateYYYYMMDD 2014-09-02
PublicationDate_xml – month: 09
  year: 2014
  text: 2014-09-02
  day: 02
PublicationDecade 2010
PublicationTitle International journal of systems science
PublicationYear 2014
Publisher Taylor & Francis
Publisher_xml – name: Taylor & Francis
References cit0011
cit0022
cit0012
cit0010
Roger A.H. (cit0013) 1985
cit0021
Tan F.X. (cit0020) 2009; 26
Basar T. (cit0001) 1995
Semsar-Kazerooni E. (cit0014) 2007
cit0019
cit0008
Olfati-Saber R. (cit0009) 2003
cit0006
cit0017
cit0007
cit0004
cit0015
cit0005
cit0016
Zhou K. (cit0023) 1996
cit0002
cit0003
Šiljak D.D. (cit0018) 1978
References_xml – ident: cit0006
  doi: 10.1016/j.automatica.2011.02.003
– ident: cit0022
  doi: 10.1109/TII.2007.911895
– ident: cit0021
  doi: 10.1109/91.919256
– start-page: 4126
  year: 2003
  ident: cit0009
  publication-title: Proceedings of the 42nd IEEE Conference on Decision and Control
– ident: cit0007
  doi: 10.1080/00207721003768167
– volume-title: Matrix Analysis
  year: 1985
  ident: cit0013
– ident: cit0004
  doi: 10.1109/TAC.2003.812781
– volume-title: Robust and Optimal Control
  year: 1996
  ident: cit0023
– ident: cit0003
  doi: 10.1109/TAC.2011.2162892
– ident: cit0005
  doi: 10.1080/00207720903267866
– volume: 26
  start-page: 1087
  year: 2009
  ident: cit0020
  publication-title: Control Theory & Applications
– ident: cit0011
  doi: 10.1109/TAC.2005.846556
– ident: cit0019
  doi: 10.1017/CBO9780511546877
– start-page: 1
  year: 2007
  ident: cit0014
  publication-title: IEEE International Conference on System of System Engineering
– ident: cit0010
  doi: 10.1109/TAC.2004.834113
– ident: cit0008
  doi: 10.1109/TAC.2005.864190
– ident: cit0012
  doi: 10.1109/MCS.2007.338264
– volume-title: Dynamic Noncooperative Game Theory
  year: 1995
  ident: cit0001
– ident: cit0015
  doi: 10.1016/j.automatica.2008.04.016
– volume-title: Large-Scale Dynamic Systems
  year: 1978
  ident: cit0018
– ident: cit0016
  doi: 10.1016/j.automatica.2009.06.006
– ident: cit0017
  doi: 10.1016/j.asoc.2009.10.020
– ident: cit0002
  doi: 10.1016/j.automatica.2011.03.014
SSID ssj0005520
Score 2.0633237
Snippet In this paper, a robust consensus algorithm is developed and sufficient conditions for convergence to consensus are proposed for a multi-agent system (MAS)...
SourceID proquest
crossref
informaworld
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1869
SubjectTerms Agents (artificial intelligence)
Algorithms
consensus algorithm
Convergence
convergence conditions
differential game
Differential games
Disturbances
Expert systems
Interference
multi-agent system
Robust control
Title Robust consensus algorithm for multi-agent systems with exogenous disturbances under convergence conditions
URI https://www.tandfonline.com/doi/abs/10.1080/00207721.2012.757384
https://www.proquest.com/docview/1559652758
https://www.proquest.com/docview/1753518632
Volume 45
WOSCitedRecordID wos000337363900005&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAWR
  databaseName: Taylor & Francis
  customDbUrl:
  eissn: 1464-5319
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0005520
  issn: 0020-7721
  databaseCode: TFW
  dateStart: 19701001
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3dS8MwEA8yfNAHv8X5RQRfK2uTpumjiMOnITJxbyVJEx3OVtpO_PPNJevcEBX0rYUkhMsld5f87ncInVsVoLFhKkiJSQMqNQlEqOGaAwimZJxykbtiE8lgwEej9HYhix9glRBDG08U4c5q2NxC1i0iDjK4e9YphOgujC6SOCEcCEGtYw8qPuw_fGI84hkvo42RoEebO_fNIEu2aYm59MtJ7cxPf_P_E99CGzPXE196XdlGK7rYQesLhIS76PmulNO6wQow1kU9rbGYPJbVuHl6wXaa2MEPAwHpWNhzQNcYbnKxfi892yvOrd5MKwnKVGPIUKuwQ7a7JE8N37lHie2h-_718OommJVjCBRJSBNoTalikkHqa5LkKtKKJYZwlnMdacMjZRRLiY24coh6RAoGUqeJpEwbZQjZR52iLPQBwlYbRBpKmfdoTqmg4DVY30FaOxpze0R0EWkXIlMzrnIomTHJwjmlqRdlBqLMvCi7KJj3evVcHb-054trnDXujsT4giYZ-bnrWasPmd2P8MgiCm2lnMEzL4sjG4b90MbGiHHIGYkO_z6FI7Rm_6jDu0XHqNNUU32CVtVbM66rU7cPPgAXxQSW
linkProvider Taylor & Francis
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8QwEA66CurBt_g2gteKbdI0PYq4KOoisqK30KSJLmpX2q74880kXXURFcRboU0Jk0nmkW--QWjPqgCNDVNBSkwaUKlJkIUa0hxAMCXjlGe5azaRdDr89ja9bNCEVQOrhBjaeKIId1bD5oZk9BASByXcB9YrhPAujPaTOCGcjqOJ2JpaQPV12zcfKI-4YWa0URIMGVbPffOXEes0wl365ax2Bqg99w9Tn0ezjfeJD726LKAxXSyimU-chEvo4aovB1WNFcCsi2pQ4ezxrl_26vsnbOeJHQIxyKAiC3sa6ApDMhfr174nfMW5VZ1BKUGfKgxFaiV24HZX56nhOfdAsWV03T7uHp0ETUeGQJGE1IHWlComGVS_JkmuIq1YYghnOdeRNjxSRrGU2KArh8AnS8FG6jSRlGmjDCErqFX0C72KsFWILA2lzA9oTmlGwXGw7oO0pjTm9pRYQ2S4EkI1dOXQNeNRhO-spl6UAkQpvCjXUPA-6tnTdfzyPf-8yKJ2aRLje5oI8vPQ3aFCCLsl4Z4lK7SVsoCbXhZHNhL74RsbJsYhZyRa__sUdtDUSffiXJyfds420LR9Qx38LdpErboc6C00qV7qXlVuu03xBndICLc
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8QwEA6-ED34Ft9G8FqxTZqmR1EXRVlEFL2F5qWL2pW2K_58M8murogKeis0CWEyycwk33yD0K5TAZpapqKc2Dyi0pCoiA1ccwDBlExzXmhfbCJrt_ntbX4xlMUPsEqIoW0givBnNWzuZ20HiDjI4N53TiFEd3Gyl6UZ4XQUjXtuLKfRV62bD5BH2idmdEESdBkkz30zyifj9Im69MtR7e1Pa_b_M59DM33fEx8EZZlHI6ZcQNNDjISL6OGyK3t1gxWArMu6V-Pi8a5bdZr7J-ymiT3-MCogHwsHEugaw1UuNq_dQPeKtVOcXiVBm2oMKWoV9tB2n-Vp4FsHmNgSum4dXx2eRP16DJEiGWkiYyhVTDLIfc0yrRKjWGYJZ5qbxFieKKtYTlzIpSHsKXKwkCbPJGXGKkvIMhoru6VZQdipQ5HHUup9qiktKLgNznmQzpCm3J0Rq4gMFkKoPlk51Mx4FPE7p2kQpQBRiiDKVRS993oOZB2_tOfDaywaf0liQ0UTQX7uujPQB-E2JLyyFKVxUhbwzsvSxMVhP7RxQWIac0aStb9PYRtNXhy1xPlp-2wdTbkf1GPfkg001lQ9s4km1EvTqastvyXeACQCB1s
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Robust+consensus+algorithm+for+multi-agent+systems+with+exogenous+disturbances+under+convergence+conditions&rft.jtitle=International+journal+of+systems+science&rft.au=Jiang%2C+Yulian&rft.au=Liu%2C+Jianchang&rft.au=Tan%2C+Shubin&rft.au=Ming%2C+Pingsong&rft.date=2014-09-02&rft.pub=Taylor+%26+Francis&rft.issn=0020-7721&rft.eissn=1464-5319&rft.volume=45&rft.issue=9&rft.spage=1869&rft.epage=1879&rft_id=info:doi/10.1080%2F00207721.2012.757384&rft.externalDocID=757384
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0020-7721&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0020-7721&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0020-7721&client=summon