Distributed PI Control for Consensus of Heterogeneous Multiagent Systems Over Directed Graphs
This paper considers the consensus control problem of heterogeneous linear multiagent systems. A distributed proportional-integral (PI) protocol is presented to ensure consensus of heterogeneous linear multiagent systems with directed communication graphs. Sufficient conditions for the choice of con...
Saved in:
| Published in | IEEE transactions on systems, man, and cybernetics. Systems Vol. 50; no. 4; pp. 1602 - 1609 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
IEEE
01.04.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 2168-2216 2168-2232 |
| DOI | 10.1109/TSMC.2018.2792472 |
Cover
| Abstract | This paper considers the consensus control problem of heterogeneous linear multiagent systems. A distributed proportional-integral (PI) protocol is presented to ensure consensus of heterogeneous linear multiagent systems with directed communication graphs. Sufficient conditions for the choice of control parameters are derived. For the case that the agents are subject to the external time-varying but bounded disturbances, the proposed distributed PI protocol can assure uniformly ultimate boundedness of the consensus error. The effectiveness of the results is illustrated both theoretically and numerically. |
|---|---|
| AbstractList | This paper considers the consensus control problem of heterogeneous linear multiagent systems. A distributed proportional-integral (PI) protocol is presented to ensure consensus of heterogeneous linear multiagent systems with directed communication graphs. Sufficient conditions for the choice of control parameters are derived. For the case that the agents are subject to the external time-varying but bounded disturbances, the proposed distributed PI protocol can assure uniformly ultimate boundedness of the consensus error. The effectiveness of the results is illustrated both theoretically and numerically. |
| Author | Li, Zhongkui Duan, Zhisheng Lv, Yuezu |
| Author_xml | – sequence: 1 givenname: Yuezu orcidid: 0000-0002-7757-9028 surname: Lv fullname: Lv, Yuezu organization: Department of Mechanics and Engineering Science, College of Engineering, State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing, China – sequence: 2 givenname: Zhongkui orcidid: 0000-0002-9361-4305 surname: Li fullname: Li, Zhongkui email: zhongkli@pku.edu.cn organization: Department of Mechanics and Engineering Science, College of Engineering, State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing, China – sequence: 3 givenname: Zhisheng orcidid: 0000-0003-3538-2494 surname: Duan fullname: Duan, Zhisheng organization: Department of Mechanics and Engineering Science, College of Engineering, State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing, China |
| BookMark | eNp9UE1PwkAQ3RhMROQHGC9NPBf3o7vtHk1RIIFgAh5N0y6zugS6uLs14d_bBsLBg6d5M_Pem8y7Rb3a1oDQPcEjQrB8Wq8W-Yhiko1oKmmS0ivUp0RkMaWM9i6YiBs09H6LMSY0EwyLPvoYGx-cqZoAm-htFuW2Ds7uIm1dhz3UvvGR1dEUAjj7CTXYdrBodsGUbRei1dEH2Pto-QMuGhsHqrOauPLw5e_QtS53HobnOkDvry_rfBrPl5NZ_jyPFZUsxFRVUgLRSUmY5jLNNMlwVlUJ05IrxVO1EVIzIjgXSZnChhDYKJ7JSmHCqWAD9HjyPTj73YAPxdY2rm5PFpSlknGKE9yy0hNLOeu9A10oE8pgupdLsysILro4iy7OoouzOMfZKskf5cGZfemO_2oeThoDABd-1q65YOwXR5eCfA |
| CODEN | ITSMFE |
| CitedBy_id | crossref_primary_10_1016_j_jfranklin_2021_10_021 crossref_primary_10_1002_asjc_3576 crossref_primary_10_1109_TSMC_2022_3212429 crossref_primary_10_1002_rnc_5612 crossref_primary_10_1109_ACCESS_2021_3068966 crossref_primary_10_1109_ACCESS_2022_3170431 crossref_primary_10_1109_TSMC_2019_2921594 crossref_primary_10_1109_TCSII_2023_3348799 crossref_primary_10_1109_TSMC_2019_2916001 crossref_primary_10_1007_s40815_020_01013_6 crossref_primary_10_1109_TCYB_2020_3001347 crossref_primary_10_1016_j_jfranklin_2019_07_022 crossref_primary_10_1002_asjc_2566 crossref_primary_10_1016_j_isatra_2022_02_006 crossref_primary_10_1109_TSMC_2022_3179444 crossref_primary_10_1109_TSMC_2023_3328001 crossref_primary_10_1109_TTE_2021_3133316 crossref_primary_10_1109_TCSII_2021_3068176 crossref_primary_10_1109_JAS_2021_1003838 crossref_primary_10_1109_JAS_2023_123231 crossref_primary_10_1109_ACCESS_2022_3221121 crossref_primary_10_1109_TNSE_2021_3074037 crossref_primary_10_1109_TSMC_2018_2877818 crossref_primary_10_1109_TSMC_2021_3071994 crossref_primary_10_1109_TSMC_2018_2867548 crossref_primary_10_1016_j_neucom_2025_129547 crossref_primary_10_1109_TSMC_2022_3190058 crossref_primary_10_1016_j_jfranklin_2019_09_024 crossref_primary_10_1016_j_jfranklin_2020_12_032 crossref_primary_10_1109_TNSE_2022_3229752 crossref_primary_10_1109_TCSII_2020_3026687 crossref_primary_10_1007_s11071_022_07240_w crossref_primary_10_1109_TAI_2023_3314581 crossref_primary_10_1016_j_jfranklin_2024_107159 crossref_primary_10_1109_TSMC_2019_2895097 crossref_primary_10_1109_TSMC_2019_2950114 crossref_primary_10_1109_TNNLS_2021_3080122 crossref_primary_10_1109_TSMC_2021_3126343 crossref_primary_10_1109_JAS_2024_124773 crossref_primary_10_1109_TII_2024_3454103 crossref_primary_10_1109_TSMC_2019_2933034 crossref_primary_10_1109_TNNLS_2021_3084366 crossref_primary_10_1016_j_isatra_2024_05_049 crossref_primary_10_1109_TCYB_2020_3023747 crossref_primary_10_1016_j_neucom_2023_126855 crossref_primary_10_1016_j_ins_2023_119629 crossref_primary_10_1109_JSYST_2025_3532511 crossref_primary_10_1109_ACCESS_2019_2944946 crossref_primary_10_1109_TSMC_2021_3096133 crossref_primary_10_1109_TSMC_2023_3347525 crossref_primary_10_1016_j_automatica_2022_110824 crossref_primary_10_1109_TSMC_2019_2959394 crossref_primary_10_1109_TSMC_2020_3034765 crossref_primary_10_1109_LCSYS_2022_3150662 crossref_primary_10_1002_asjc_2897 crossref_primary_10_1049_cth2_12026 crossref_primary_10_1109_TCNS_2019_2919855 crossref_primary_10_1109_TCSII_2023_3259483 |
| Cites_doi | 10.1109/TCYB.2015.2494738 10.1080/00207179.2016.1172259 10.1109/TCSII.2007.916788 10.1109/TAC.2008.924961 10.1098/rspa.1912.0076 10.1109/TASE.2016.2517155 10.1109/TAC.2004.834113 10.1007/978-1-84800-015-5 10.1016/j.sysconle.2011.09.006 10.1109/TAC.2009.2029296 10.1109/TCST.2010.2053542 10.1109/MCS.2007.338264 10.1109/ChiCC.2015.7260750 10.1002/rnc.2965 10.1016/j.automatica.2010.09.005 10.1016/j.automatica.2015.10.020 10.1109/TSMC.2017.2654366 10.1109/TAC.2010.2088710 10.1109/TSMC.2017.2703921 10.1016/j.automatica.2014.08.033 10.1109/TCYB.2015.2452217 10.1109/TAC.2011.2174666 10.1109/TCNS.2014.2378914 10.1109/TCYB.2016.2602327 10.1109/CDC.2013.6760204 10.1016/j.automatica.2011.01.081 10.1016/j.automatica.2016.01.039 10.1109/TAC.2005.846556 10.1016/j.automatica.2012.08.042 10.1109/TCYB.2017.2707178 10.1109/TSMC.2016.2577578 10.1109/TCSI.2009.2023937 10.1109/TSMC.2016.2637063 10.1109/TSMC.2016.2564929 |
| ContentType | Journal Article |
| Copyright | Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020 |
| Copyright_xml | – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020 |
| DBID | 97E RIA RIE AAYXX CITATION 7SC 7SP 7TB 8FD FR3 H8D JQ2 L7M L~C L~D |
| DOI | 10.1109/TSMC.2018.2792472 |
| DatabaseName | IEEE All-Society Periodicals Package (ASPP) 2005-present IEEE All-Society Periodicals Package (ASPP) 1998-Present IEEE Electronic Library (IEL) CrossRef Computer and Information Systems Abstracts Electronics & Communications Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database Aerospace Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Aerospace Database Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts Electronics & Communications Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Aerospace Database |
| Database_xml | – sequence: 1 dbid: RIE name: IEEE Xplore Electronic Library (IEL) url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/ sourceTypes: Publisher |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 2168-2232 |
| EndPage | 1609 |
| ExternalDocumentID | 10_1109_TSMC_2018_2792472 8279563 |
| Genre | orig-research |
| GrantInformation_xml | – fundername: National Natural Science Foundation of China grantid: U1713223; 11332001; 61473005; 61673026 funderid: 10.13039/501100001809 |
| GroupedDBID | 0R~ 6IK 97E AAJGR AARMG AASAJ AAWTH ABAZT ABQJQ ABVLG ACGFS ACIWK AGQYO AGSQL AHBIQ AKJIK AKQYR ALMA_UNASSIGNED_HOLDINGS BEFXN BFFAM BGNUA BKEBE BPEOZ EBS EJD HZ~ IFIPE IPLJI JAVBF M43 O9- OCL PQQKQ RIA RIE RNS AAYXX CITATION 7SC 7SP 7TB 8FD FR3 H8D JQ2 L7M L~C L~D |
| ID | FETCH-LOGICAL-c293t-2cb99e1f4a13f5978f1808bb43f95cc57cd69f3165564a7ed11edc589bc015263 |
| IEDL.DBID | RIE |
| ISSN | 2168-2216 |
| IngestDate | Mon Jun 30 02:24:57 EDT 2025 Thu Apr 24 22:58:13 EDT 2025 Wed Oct 01 03:10:14 EDT 2025 Wed Aug 27 02:36:27 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 4 |
| Language | English |
| License | https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html https://doi.org/10.15223/policy-029 https://doi.org/10.15223/policy-037 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c293t-2cb99e1f4a13f5978f1808bb43f95cc57cd69f3165564a7ed11edc589bc015263 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0002-9361-4305 0000-0002-7757-9028 0000-0003-3538-2494 |
| PQID | 2379352040 |
| PQPubID | 75739 |
| PageCount | 8 |
| ParticipantIDs | ieee_primary_8279563 crossref_primary_10_1109_TSMC_2018_2792472 proquest_journals_2379352040 crossref_citationtrail_10_1109_TSMC_2018_2792472 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2020-04-01 |
| PublicationDateYYYYMMDD | 2020-04-01 |
| PublicationDate_xml | – month: 04 year: 2020 text: 2020-04-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | New York |
| PublicationPlace_xml | – name: New York |
| PublicationTitle | IEEE transactions on systems, man, and cybernetics. Systems |
| PublicationTitleAbbrev | TSMC |
| PublicationYear | 2020 |
| Publisher | IEEE The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher_xml | – name: IEEE – name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| References | ref13 ref12 ref37 ref15 ref31 lu (ref14) 2008; 55 ref30 ref33 qu (ref34) 2009 ref11 ref32 ref10 ref1 ref17 ref16 ref19 ref18 ren (ref2) 2007; 27 ref24 ref23 ref26 ref25 ref20 ref22 ref21 li (ref6) 2010; 57 krstic (ref36) 1995 ref28 ref27 ref29 ref8 ref7 ref9 ref4 ref3 ref5 khalil (ref35) 2002 |
| References_xml | – ident: ref31 doi: 10.1109/TCYB.2015.2494738 – year: 1995 ident: ref36 publication-title: Nonlinear and Adaptive Control Design – ident: ref37 doi: 10.1080/00207179.2016.1172259 – volume: 55 start-page: 586 year: 2008 ident: ref14 article-title: Global asymptotical synchronization of chaotic Lur'e systems using sampled data: A linear matrix inequality approach publication-title: IEEE Trans Circuits Syst II Exp Briefs doi: 10.1109/TCSII.2007.916788 – ident: ref4 doi: 10.1109/TAC.2008.924961 – ident: ref33 doi: 10.1098/rspa.1912.0076 – ident: ref27 doi: 10.1109/TASE.2016.2517155 – ident: ref3 doi: 10.1109/TAC.2004.834113 – ident: ref1 doi: 10.1007/978-1-84800-015-5 – ident: ref8 doi: 10.1016/j.sysconle.2011.09.006 – ident: ref7 doi: 10.1109/TAC.2009.2029296 – ident: ref5 doi: 10.1109/TCST.2010.2053542 – volume: 27 start-page: 71 year: 2007 ident: ref2 article-title: Information consensus in multivehicle cooperative control publication-title: IEEE Control Syst Mag doi: 10.1109/MCS.2007.338264 – ident: ref30 doi: 10.1109/ChiCC.2015.7260750 – ident: ref20 doi: 10.1002/rnc.2965 – ident: ref16 doi: 10.1016/j.automatica.2010.09.005 – ident: ref15 doi: 10.1016/j.automatica.2015.10.020 – ident: ref10 doi: 10.1109/TSMC.2017.2654366 – ident: ref18 doi: 10.1109/TAC.2010.2088710 – ident: ref29 doi: 10.1109/TSMC.2017.2703921 – ident: ref9 doi: 10.1016/j.automatica.2014.08.033 – year: 2009 ident: ref34 publication-title: Cooperative Control of Dynamical Systems Applications to Autonomous Vehicles – ident: ref25 doi: 10.1109/TCYB.2015.2452217 – ident: ref12 doi: 10.1109/TAC.2011.2174666 – ident: ref23 doi: 10.1109/TCNS.2014.2378914 – ident: ref22 doi: 10.1109/TCYB.2016.2602327 – ident: ref21 doi: 10.1109/CDC.2013.6760204 – ident: ref19 doi: 10.1016/j.automatica.2011.01.081 – ident: ref24 doi: 10.1016/j.automatica.2016.01.039 – ident: ref32 doi: 10.1109/TAC.2005.846556 – ident: ref13 doi: 10.1016/j.automatica.2012.08.042 – ident: ref26 doi: 10.1109/TCYB.2017.2707178 – ident: ref17 doi: 10.1109/TSMC.2016.2577578 – volume: 57 start-page: 213 year: 2010 ident: ref6 article-title: Consensus of multiagent systems and synchronization of complex networks: A unified viewpoint publication-title: IEEE Trans Circuits Syst I Reg Papers doi: 10.1109/TCSI.2009.2023937 – year: 2002 ident: ref35 publication-title: Nonlinear Systems – ident: ref28 doi: 10.1109/TSMC.2016.2637063 – ident: ref11 doi: 10.1109/TSMC.2016.2564929 |
| SSID | ssj0001286306 |
| Score | 2.4322877 |
| Snippet | This paper considers the consensus control problem of heterogeneous linear multiagent systems. A distributed proportional-integral (PI) protocol is presented... This paper considers the consensus control problem of heterogeneous linear multiagent systems. A distributed proportional–integral (PI) protocol is presented... |
| SourceID | proquest crossref ieee |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 1602 |
| SubjectTerms | Consensus Control systems distributed control Eigenvalues and eigenfunctions Graph theory Graphs heterogeneous multiagent systems Laplace equations Linear systems Multi-agent systems Multiagent systems Protocols robustness Topology Vehicle dynamics |
| Title | Distributed PI Control for Consensus of Heterogeneous Multiagent Systems Over Directed Graphs |
| URI | https://ieeexplore.ieee.org/document/8279563 https://www.proquest.com/docview/2379352040 |
| Volume | 50 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVIEE databaseName: IEEE Xplore Electronic Library (IEL) customDbUrl: eissn: 2168-2232 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0001286306 issn: 2168-2216 databaseCode: RIE dateStart: 20130101 isFulltext: true titleUrlDefault: https://ieeexplore.ieee.org/ providerName: IEEE |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LSwMxEB7Ukx58VbFaJQdP4tZNspvHUeqjClVBBS-y7GaTi9IV21789U6y21IfiJclhGQJmWeSmW8ADg3luaKyjNBUiiix1kWFMi4ShqNkGZ6zkMU_uBH9x-T6KX1agONZLoy1NgSf2a5vhrf8sjITf1V2ophEd54vwqKUus7VmrtPUYKHUpqMCiQ-fptHTBrrk4f7Qc_HcamuB8xLJPtihkJdlR_KOFiYizUYTNdWB5a8dCfjoms-vsE2_nfx67DauJrktOaNDViww01YmQMgbMHzmcfN9SWvbEnurkivDlwn6Mn69sjXwRiRypG-j5qpkNlshR0hazf3SVmkQTwntygSpNaf-KtLD4M92oLHi_OHXj9qCi5EBq3-OGKm0NpSl-SUOzxpKEdVrIoi4U6nxqTSlEI7TkWaiiSXtqTUliZVujDoVTDBt2FpWA3tDhD0OhjDXoMaNZES1XtSoLGUusxdnJaqDfF0_zPToJH7ohivWTiVxDrzJMs8ybKGZG04mk15q6E4_hrc8iSYDWx2vw2dKZGzRlhHGeOopFKG6mz391l7sMz8MTsE7HRgafw-sfvoi4yLg8CEn4J92e4 |
| linkProvider | IEEE |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT9wwEB7xOJQeWlpA3fLyoSfULPHbOaItsDwWkLpIXFCUOPYFtEHs7oVfz9jJrqBFiEtkWXZkeZ62Z74B-GUpLwzVVYKmUiXCOZ-UxvpEWY6SZXnBYhb_4EL1r8XpjbxZgN_zXBjnXAw-c93QjG_5VW2n4aps3zCN7jxfhGUphGZNttaLGxWjeCymyahC8uO3fcakabY__DvohUgu0w2QeUKzV4YoVlb5Tx1HG3P0FQaz1TWhJXfd6aTs2qd_gBs_uvxV-NI6m-Sg4Y5vsOBG3-HzCwjCNbj9E5BzQ9ErV5GrE9JrQtcJ-rKhPQ6VMMak9qQf4mZqZDdXY0fM2y1CWhZpMc_JJQoFaTQo_uo4AGGP1-H66HDY6ydtyYXEot2fJMyWWeaoFwXlHs8axlOTmrIU3GfSWqltpTLPqZJSiUK7ilJXWWmy0qJfwRTfgKVRPXI_gKDfwRj2WtSpQmtU8KJEc6mzqvCprEwH0tn-57bFIw9lMe7zeC5JszyQLA8ky1uSdWBvPuWhAeN4b_BaIMF8YLv7HdiaETlvxXWcM45qSjJUaD_fnrULn_rDwXl-fnJxtgkrLBy6Y_jOFixNHqduGz2TSbkTGfIZEH_dOQ |
| 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=Distributed+PI+Control+for+Consensus+of+Heterogeneous+Multiagent+Systems+Over+Directed+Graphs&rft.jtitle=IEEE+transactions+on+systems%2C+man%2C+and+cybernetics.+Systems&rft.au=Lv%2C+Yuezu&rft.au=Li%2C+Zhongkui&rft.au=Duan%2C+Zhisheng&rft.date=2020-04-01&rft.pub=IEEE&rft.issn=2168-2216&rft.volume=50&rft.issue=4&rft.spage=1602&rft.epage=1609&rft_id=info:doi/10.1109%2FTSMC.2018.2792472&rft.externalDocID=8279563 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2168-2216&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2168-2216&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2168-2216&client=summon |