Secure consensus control for constrained multi-agent systems against intermittent denial-of-service attacks: an adaptive dynamic programming method

Combining the use of the adaptive dynamic programming method and optimized backstepping strategy, this paper focuses on the secure consensus problem for constrained nonlinear multi-agent systems (MASs) subject to denial-of-service (DoS) attacks and input delay. Since network channels between some ag...

Full description

Saved in:

Bibliographic Details
Published in:	IEEE journal on emerging and selected topics in circuits and systems Vol. 14; no. 4; p. 1
Main Authors:	Gao, Zhen, Zhao, Ning, Zong, Guangdeng, Zhao, Xudong
Format:	Journal Article
Language:	English
Published:	Piscataway IEEE 2024 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	adaptive dynamic programming method Backstepping barrier Lyapunov function Constraints Data transmission Denial of service attacks Denial-of-service attack Dynamic programming Indexes Laplace equations Liapunov functions Multi-agent systems Multiagent systems Nonlinear control Nonlinear multi-agent systems Nonlinear systems Observers Optimal control Optimization Pade approximation Performance indices
ISSN:	2156-3357, 2156-3365
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Abstract	Combining the use of the adaptive dynamic programming method and optimized backstepping strategy, this paper focuses on the secure consensus problem for constrained nonlinear multi-agent systems (MASs) subject to denial-of-service (DoS) attacks and input delay. Since network channels between some agents often suffer from intrusions by attackers during data transmission, we consider information transfers in both attack-sleep and attack-active scenarios, and construct a novel distributed observer with a switched mechanism to estimate the leader's state information. In order to optimize system performances while ensuring that the system states do not exceed constraint sets, a new performance index function and a tan-type barrier Lyapunov function (BLF) are introduced. Besides, by employing the Pade approximation and an intermediate variable, the effect of input delay is removed. As a consequence, the proposed optimal control can smoothly steer the nonlinear MASs to realize the followers-leader consensus tracking goal, and all system states are consistently constrained within their compact sets. Finally, simulation results verify the effectiveness of this control scheme.
AbstractList	Combining the use of the adaptive dynamic programming method and optimized backstepping strategy, this paper focuses on the secure consensus problem for constrained nonlinear multi-agent systems (MASs) subject to denial-of-service (DoS) attacks and input delay. Since network channels between some agents often suffer from intrusions by attackers during data transmission, we consider information transfers in both attack-sleep and attack-active scenarios, and construct a novel distributed observer with a switched mechanism to estimate the leader’s state information. In order to optimize system performances while ensuring that the system states do not exceed constraint sets, a new performance index function and a tan-type barrier Lyapunov function (BLF) are introduced. Besides, by employing the Pade approximation and an intermediate variable, the effect of input delay is removed. As a consequence, the proposed optimal control can smoothly steer the nonlinear MASs to realize the followers-leader consensus tracking goal, and all system states are consistently constrained within their compact sets. Finally, simulation results verify the effectiveness of this control scheme.
Author	Gao, Zhen Zhao, Xudong Zhao, Ning Zong, Guangdeng
Author_xml	– sequence: 1 givenname: Zhen orcidid: 0009-0001-4054-5836 surname: Gao fullname: Gao, Zhen organization: College of Control Science and Engineering, Bohai University, Jinzhou, China – sequence: 2 givenname: Ning orcidid: 0000-0002-9877-6872 surname: Zhao fullname: Zhao, Ning organization: College of Control Science and Engineering, Bohai University, Jinzhou, China – sequence: 3 givenname: Guangdeng orcidid: 0000-0001-6498-5580 surname: Zong fullname: Zong, Guangdeng organization: School of Control Science and Engineering, Tiangong University, Tianjin, China – sequence: 4 givenname: Xudong orcidid: 0000-0002-1864-4686 surname: Zhao fullname: Zhao, Xudong organization: College of Control Science and Engineering, Bohai University, Jinzhou, China
BookMark	eNqFkU1v1DAQhi3USpS2vwAOljhn8VechFtVUT5UqYfCOZq1J4tLYi_2pNL-Dv4wCVshxKW-vKOZeWZsv6_YSUwRGXstxUZK0b378uHr9dX9RgllNtoooTv7gp0pWdtKa1uf_I3r5iW7LOVBLKe20hpzxn7do5szcpdiwVjmskaU08iHlP9kKUOI6Pk0jxQq2GEkXg6FcCocdkutEA-RME-BaC16jAHGKg1VwfwYHHIgAvejvOcQOXjYU3hE7g8RpuD4PqddhmkKcccnpO_JX7DTAcaCl096zr7dLG_8VN3effx8fXVbOW00VcYLtbWN8qBs2_qhNU46pbRsAbwSbaNqrbZdjc5tEa0cjF0UrBUafO1Bn7O3x7nLFX7OWKh_SHOOy8peS2Nko5Q1S1d37HI5lZJx6F0goLB-E4Sxl6JfbeiPNvSrDf2TDQur_2P3OUyQD89Qb45UQMR_iLpppOz0b-b1mok
CODEN	IJESLY
CitedBy_id	crossref_primary_10_1016_j_inoche_2025_114067 crossref_primary_10_1016_j_jorganchem_2025_123572 crossref_primary_10_1016_j_epsr_2025_111717 crossref_primary_10_1016_j_inoche_2025_114064 crossref_primary_10_1016_j_jcou_2025_103052 crossref_primary_10_1038_s41598_025_02568_w crossref_primary_10_1016_j_ins_2024_121782 crossref_primary_10_1016_j_ecmx_2025_101023 crossref_primary_10_1016_j_jprocont_2025_103411 crossref_primary_10_1080_00207721_2025_2530186 crossref_primary_10_1080_10630732_2025_2462491
Cites_doi	10.1016/j.neucom.2024.127575 10.1109/TCYB.2017.2787740 10.1109/tcsii.2023.3310275 10.1109/JETCAS.2020.3046781 10.1109/JETCAS.2022.3151645 10.1016/j.neucom.2022.10.056 10.1126/science.153.3731.34 10.1109/TAC.2019.2906931 10.1109/TSMC.2021.3064971 10.1016/j.ins.2023.119948 10.1016/j.cnsns.2024.107928 10.1109/TNNLS.2015.2508926 10.1109/tase.2024.3374522 10.1080/00207721.2024.2328780 10.1016/j.fss.2022.03.005 10.1016/j.jfranklin.2023.01.046 10.1016/j.cnsns.2023.107793 10.1080/00207721.2024.2322077 10.1109/TII.2021.3133927 10.1109/tsmc.2023.3298656 10.1109/TAC.2021.3090739 10.1109/TSMC.2022.3221371 10.1109/tfuzz.2023.3306372 10.1016/j.ins.2023.01.140 10.1109/tfuzz.2024.3357083 10.1016/j.chaos.2022.113034 10.1109/TAC.2020.3005154 10.1109/jsyst.2024.3350771 10.1016/j.fss.2023.108735 10.1109/tsmc.2022.3224432 10.1016/j.cnsns.2023.107689 10.3390/electronics13010210 10.1016/j.ins.2021.08.062 10.1002/adts.202301136 10.1109/TCYB.2018.2890256 10.1109/tfuzz.2023.3345834 10.1109/TCYB.2020.3029045 10.1109/TCYB.2021.3069587 10.1016/j.ins.2023.02.058
ContentType	Journal Article
Copyright	Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2024
Copyright_xml	– notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2024
DBID	97E ESBDL RIA RIE AAYXX CITATION 7SC 7SP 8FD JQ2 L7M L~C L~D
DOI	10.1109/JETCAS.2024.3420396
DatabaseName	IEEE All-Society Periodicals Package (ASPP) 2005-present IEEE Xplore Open Access Journals IEEE All-Society Periodicals Package (ASPP) 1998-Present IEEE Electronic Library (IEL) CrossRef Computer and Information Systems Abstracts Electronics & Communications 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 Technology Research Database Computer and Information Systems Abstracts – Academic Electronics & Communications Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional
DatabaseTitleList	Technology Research Database
Database_xml	– sequence: 1 dbid: RIE name: IEEE Electronic Library (IEL) url: https://ieeexplore.ieee.org/ sourceTypes: Publisher
DeliveryMethod	fulltext_linktorsrc
Discipline	Engineering
EISSN	2156-3365
EndPage	1
ExternalDocumentID	10_1109_JETCAS_2024_3420396 10577119
Genre	orig-research
GrantInformation_xml	– fundername: National Natural Science Foundation of China grantid: 62203064 funderid: 10.13039/501100001809
GroupedDBID	0R~ 4.4 6IK 97E AAJGR AARMG AASAJ AAWTH ABAZT ABQJQ ABVLG AENEX AGQYO AHBIQ AKJIK AKQYR ALMA_UNASSIGNED_HOLDINGS ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ EBS ESBDL HZ~ IFIPE IPLJI JAVBF M43 O9- OCL PQQKQ RIA RIE RNS 5VS AAYXX AGSQL CITATION EJD 7SC 7SP 8FD JQ2 L7M L~C L~D
ID	FETCH-LOGICAL-c343t-4d02b672da2688df84c1c22318aad20872532b95eccbee61f46beea6603ad5da3
IEDL.DBID	RIE
ISICitedReferencesCount	32
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001378122500003&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	2156-3357
IngestDate	Mon Oct 13 22:40:29 EDT 2025 Sat Nov 29 01:46:13 EST 2025 Tue Nov 18 22:33:10 EST 2025 Wed Aug 27 02:33:29 EDT 2025
IsDoiOpenAccess	true
IsOpenAccess	true
IsPeerReviewed	true
IsScholarly	true
Issue	4
Language	English
License	https://creativecommons.org/licenses/by/4.0/legalcode
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c343t-4d02b672da2688df84c1c22318aad20872532b95eccbee61f46beea6603ad5da3
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ORCID	0009-0001-4054-5836 0000-0001-6498-5580 0000-0002-9877-6872 0000-0002-1864-4686
OpenAccessLink	https://ieeexplore.ieee.org/document/10577119
PQID	3144172264
PQPubID	2040416
PageCount	1
ParticipantIDs	crossref_citationtrail_10_1109_JETCAS_2024_3420396 ieee_primary_10577119 proquest_journals_3144172264 crossref_primary_10_1109_JETCAS_2024_3420396
PublicationCentury	2000
PublicationDate	2024-00-00
PublicationDateYYYYMMDD	2024-01-01
PublicationDate_xml	– year: 2024 text: 2024-00-00
PublicationDecade	2020
PublicationPlace	Piscataway
PublicationPlace_xml	– name: Piscataway
PublicationTitle	IEEE journal on emerging and selected topics in circuits and systems
PublicationTitleAbbrev	JETCAS
PublicationYear	2024
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 ref35 ref12 ref34 ref15 ref37 ref14 ref36 ref31 ref30 ref11 ref33 ref10 ref32 ref2 ref1 ref17 ref39 ref16 ref38 ref18 Werbos (ref19) 1992 ref24 ref23 ref26 ref25 ref20 ref22 ref21 ref28 ref27 ref29 ref8 ref7 ref9 ref4 ref3 ref6 ref5 ref40
References_xml	– ident: ref18 doi: 10.1016/j.neucom.2024.127575 – ident: ref7 doi: 10.1109/TCYB.2017.2787740 – ident: ref33 doi: 10.1109/tcsii.2023.3310275 – ident: ref27 doi: 10.1109/JETCAS.2020.3046781 – ident: ref4 doi: 10.1109/JETCAS.2022.3151645 – ident: ref8 doi: 10.1016/j.neucom.2022.10.056 – ident: ref36 doi: 10.1126/science.153.3731.34 – ident: ref40 doi: 10.1109/TAC.2019.2906931 – ident: ref25 doi: 10.1109/TSMC.2021.3064971 – ident: ref5 doi: 10.1016/j.ins.2023.119948 – ident: ref17 doi: 10.1016/j.cnsns.2024.107928 – ident: ref23 doi: 10.1109/TNNLS.2015.2508926 – ident: ref31 doi: 10.1109/tase.2024.3374522 – ident: ref2 doi: 10.1080/00207721.2024.2328780 – ident: ref3 doi: 10.1016/j.fss.2022.03.005 – ident: ref12 doi: 10.1016/j.jfranklin.2023.01.046 – ident: ref6 doi: 10.1016/j.cnsns.2023.107793 – ident: ref37 doi: 10.1080/00207721.2024.2322077 – ident: ref21 doi: 10.1109/TII.2021.3133927 – ident: ref22 doi: 10.1109/tsmc.2023.3298656 – ident: ref1 doi: 10.1109/TAC.2021.3090739 – ident: ref9 doi: 10.1109/TSMC.2022.3221371 – ident: ref13 doi: 10.1109/tfuzz.2023.3306372 – ident: ref30 doi: 10.1016/j.ins.2023.01.140 – ident: ref34 doi: 10.1109/tfuzz.2024.3357083 – ident: ref14 doi: 10.1016/j.chaos.2022.113034 – ident: ref35 doi: 10.1109/TAC.2020.3005154 – ident: ref15 doi: 10.1109/jsyst.2024.3350771 – ident: ref16 doi: 10.1016/j.fss.2023.108735 – ident: ref20 doi: 10.1109/tsmc.2022.3224432 – ident: ref10 doi: 10.1016/j.cnsns.2023.107689 – ident: ref29 doi: 10.3390/electronics13010210 – ident: ref32 doi: 10.1016/j.ins.2021.08.062 – ident: ref28 doi: 10.1002/adts.202301136 – ident: ref24 doi: 10.1109/TCYB.2018.2890256 – ident: ref39 doi: 10.1109/tfuzz.2023.3345834 – volume-title: Handbook of Intelligent Control year: 1992 ident: ref19 article-title: Approximate dynamic programming for real-time control and neural modeling – ident: ref11 doi: 10.1109/TCYB.2020.3029045 – ident: ref26 doi: 10.1109/TCYB.2021.3069587 – ident: ref38 doi: 10.1016/j.ins.2023.02.058
SSID	ssj0000561644
Score	2.4635568
Snippet	Combining the use of the adaptive dynamic programming method and optimized backstepping strategy, this paper focuses on the secure consensus problem for...
SourceID	proquest crossref ieee
SourceType	Aggregation Database Enrichment Source Index Database Publisher
StartPage	1
SubjectTerms	adaptive dynamic programming method Backstepping barrier Lyapunov function Constraints Data transmission Denial of service attacks Denial-of-service attack Dynamic programming Indexes Laplace equations Liapunov functions Multi-agent systems Multiagent systems Nonlinear control Nonlinear multi-agent systems Nonlinear systems Observers Optimal control Optimization Pade approximation Performance indices
Title	Secure consensus control for constrained multi-agent systems against intermittent denial-of-service attacks: an adaptive dynamic programming method
URI	https://ieeexplore.ieee.org/document/10577119 https://www.proquest.com/docview/3144172264
Volume	14
WOSCitedRecordID	wos001378122500003&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: PRVIEE databaseName: IEEE Electronic Library (IEL) customDbUrl: eissn: 2156-3365 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000561644 issn: 2156-3357 databaseCode: RIE dateStart: 20110101 isFulltext: true titleUrlDefault: https://ieeexplore.ieee.org/ providerName: IEEE
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3NSx0xEA8qHvRQq7X0qS05eDS6-dh8eBNRSikPQS3elmySlYLdJ-4-_5H-w2aS-HggLXjaZZMsIb_sZGZ2Zn4IHTLpQsW8I1KbjggqPDHGt0S3MhrN8Uj0ibTv1081neq7O3NVktVTLkwIIQWfhWO4Tf_y_czNwVV2Apy0ikKRz1WlVE7WWjhUQBWWibw1nmKScF6rUmWIVubkx8XN-dl1tAeZOOaCVRyq9C-dRIla5Y08TofM5dY7p_cRfSjaJD7L8G-jldDvoM2lGoOf0N_kUQ_YQdh0P8wHXKLTcVRX09PEEhE8TrGFxEKuFc4Fngds72PbMGKoKgGp_yM0egjQeyCzjgxZ0mA7jpCrf4ptj623jyBDsc9k97iEgP2J08GZsHoX3V7GlfpOChMDcVzwkQhfsQge85ZJrX2nhaMuKhZUW-tZpRWrOWtNHfdDG4KknZDxaqWsuPW1t_wzWutnffiCsAq1a2tBjetMVNVa7booFNqatl1tO8omiL2i0rhSphzW4aFJ5kplmgxlA1A2BcoJOloMesxVOv7ffRfQW-qagZugg1f8m_IpDw0Hk1NBvvHeP4btow14e3bMHKC18WkevqJ19zz-Hp6-pV36ApRW580
linkProvider	IEEE
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1Lb9QwELaqUoly4NEWsbAFHzjWbfyMzW2FqFpYVki0qLfIsR2EtGSrJssf4Q_jsd1qJVQkToliW7E8znhmMvN9CL1lyoWKeUeUNh0RVHhijG-JblV0muOR6BNp37d5vVjoqyvzpRSrp1qYEEJKPgvHcJv-5fuVW0Oo7AQ4aWsKIJ8PpBCM5nKtu5AKGMMq0bfGc0wRzmVdcIZoZU4-frh4P_saPUImjrlgFQec_o2zKJGr_KWR0zFz-uQ_J_gUPS72JJ7lDfAMbYV-Dz3aQBncR79TTD1gB4nT_bAecMlPx9FgTU8TT0TwOGUXEgvVVjhDPA_Yfo9tw4gBVwKK_0do9JCitySrjgxZ12A7jlCt_w7bHltvr0GLYp_p7nFJAvsZp4MzZfUBujyNK3VGChcDcVzwkQhfsSg-5i1TWvtOC0ddNC2ottazStdMctYaGXdEG4KinVDxapWquPXSW_4cbferPrxAuA7StVJQ4zoTjbVWuy6qhVbStpO2o2yC2K1UGleAymEdlk1yWCrTZFE2IMqmiHKCju4GXWecjn93PwDpbXTNgpug6a38m_IxDw0Hp7OGiuOX9wx7gx6eXXyeN_PzxadXaBfelMM0U7Q93qzDIdpxv8Yfw83rtGP_AMMg6xQ
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=Secure+consensus+control+for+constrained+multi-agent+systems+against+intermittent+denial-of-service+attacks%3A+an+adaptive+dynamic+programming+method&rft.jtitle=IEEE+journal+on+emerging+and+selected+topics+in+circuits+and+systems&rft.au=Gao%2C+Zhen&rft.au=Zhao%2C+Ning&rft.au=Zong%2C+Guangdeng&rft.au=Zhao%2C+Xudong&rft.date=2024&rft.issn=2156-3357&rft.eissn=2156-3365&rft.spage=1&rft.epage=1&rft_id=info:doi/10.1109%2FJETCAS.2024.3420396&rft.externalDBID=n%2Fa&rft.externalDocID=10_1109_JETCAS_2024_3420396
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2156-3357&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2156-3357&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2156-3357&client=summon