An input-output approach to H∞ reduced filter design for polytopic time-varying delay systems

This paper discusses the problem of delay-dependent robust filtering design for polytopic systems with a time-varying delay. A new model transformation is firstly applied by employing a three-term approximation for the delayed state, which leads to a smaller approximation error than the two-term app...

Celý popis

Uložené v:

Podrobná bibliografia
Vydané v:	International journal of systems science Ročník 50; číslo 1; s. 35 - 49
Hlavní autori:	El Aiss, Hicham, Zoulagh, Taha, Hmamed, Abdelaziz, El Hajjaji, Ahmed
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	London Taylor & Francis 02.01.2019 Taylor & Francis Ltd
Predmet:	Approximation Automatic Delay-dependent criteria Design engineering Electric power Engineering Sciences Error analysis filter Filter design (mathematics) Filtration Linear matrix inequalities linear matrix inequality (LMI) Linearization Mathematical analysis Matrix methods polytopic uncertainties Reduced order filters Time delay systems time-varying delay
ISSN:	0020-7721, 1464-5319
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Abstract	This paper discusses the problem of delay-dependent robust filtering design for polytopic systems with a time-varying delay. A new model transformation is firstly applied by employing a three-term approximation for the delayed state, which leads to a smaller approximation error than the two-term approximation. Then, based on the scaled small-gain Theorem combined with an appropriate Lyapunov-Krasovskii Functional, the performance analysis of the filtering error system is examined and then the full- and reduced-order filters are designed in terms of linear matrix inequalities via a simple linearisation technique. Before the end, a sufficient condition is presented to solve the problem of filtering design for a time-delay system without polytopic uncertainties. Finally, illustrative examples are presented to demonstrate the validity of the proposed methods.
AbstractList	This paper discusses the problem of delay-dependent robust filtering design for polytopic systems with a time-varying delay. A new model transformation is firstly applied by employing a three-term approximation for the delayed state, which leads to a smaller approximation error than the two-term approximation. Then, based on the scaled small-gain Theorem combined with an appropriate Lyapunov-Krasovskii Functional, the performance analysis of the filtering error system is examined and then the full- and reduced-order filters are designed in terms of linear matrix inequalities via a simple linearisation technique. Before the end, a sufficient condition is presented to solve the problem of filtering design for a time-delay system without polytopic uncertainties. Finally, illustrative examples are presented to demonstrate the validity of the proposed methods. This paper discusses the problem of delay-dependent robust [Formula omitted.] filtering design for polytopic systems with a time-varying delay. A new model transformation is firstly applied by employing a three-term approximation for the delayed state, which leads to a smaller approximation error than the two-term approximation. Then, based on the scaled small-gain Theorem combined with an appropriate Lyapunov-Krasovskii Functional, the [Formula omitted.] performance analysis of the filtering error system is examined and then the [Formula omitted.] full- and reduced-order filters are designed in terms of linear matrix inequalities via a simple linearisation technique. Before the end, a sufficient condition is presented to solve the problem of [Formula omitted.] filtering design for a time-delay system without polytopic uncertainties. Finally, illustrative examples are presented to demonstrate the validity of the proposed methods.
Author	El Aiss, Hicham Hmamed, Abdelaziz El Hajjaji, Ahmed Zoulagh, Taha
Author_xml	– sequence: 1 givenname: Hicham surname: El Aiss fullname: El Aiss, Hicham email: elaiss.hicham@gmail.com organization: Department of Physics, Faculty of Sciences Dhar El Mahraz-Fes, University of Sidi Mohamed Ben Abdellah – sequence: 2 givenname: Taha orcidid: 0000-0003-4796-2744 surname: Zoulagh fullname: Zoulagh, Taha organization: Department of Physics, Faculty of Sciences Dhar El Mahraz-Fes, University of Sidi Mohamed Ben Abdellah – sequence: 3 givenname: Abdelaziz surname: Hmamed fullname: Hmamed, Abdelaziz organization: Department of Physics, Faculty of Sciences Dhar El Mahraz-Fes, University of Sidi Mohamed Ben Abdellah – sequence: 4 givenname: Ahmed surname: El Hajjaji fullname: El Hajjaji, Ahmed organization: MIS Lab. UFR of Sciences, University of Picardie Jules Vene
BackLink	https://hal.science/hal-03175288$$DView record in HAL
BookMark	eNqFkM9qFTEUh4NU8Lb2EQoBVy7mevLPmeDGS1GvcMGNrkMmybQpc5MxyVTmDXyKPlyfxAy3unChqwOH7_fjnO8cnYUYHEJXBLYEOngDQKFtKdlSIN2WCM54y5-hDeFveSMYkWdoszLNCr1A5znfAYAQFDZI7QL2YZpLE-dSB9bTlKI2t7hEvH_8-YCTs7NxFg9-LC5h67K_CXiICU9xXEqcvMHFH11zr9Piw00lRr3gvOTijvklej7oMbvLp3mBvn388PV63xy-fPp8vTs0hrW0NLLruXQSHGMaiLRWGuasYcLytrOgnW4Nl6YbKBe90A76noIztCeW20F27AK9PvXe6lFNyR_rMSpqr_a7g1p3wEgraNfdk8q-OrH10--zy0XdxTmFep6i1R5tBZeyUuJEmRRzTm74U0tArd7Vb-9q9a6evNfcu79yxhddfAwlaT_-N_3-lPahKj7qHzGNVhW9jDENSQfjs2L_rvgFQC6e3Q
CitedBy_id	crossref_primary_10_1109_TSMC_2019_2917385 crossref_primary_10_1016_j_ifacol_2023_10_536 crossref_primary_10_1080_00207721_2020_1799108 crossref_primary_10_1109_TCE_2025_3565105 crossref_primary_10_1080_00207721_2024_2344049 crossref_primary_10_1080_00207179_2024_2418368 crossref_primary_10_1016_j_amc_2021_126729 crossref_primary_10_1002_acs_3225 crossref_primary_10_1177_0142331219892117 crossref_primary_10_1007_s11042_023_14582_z
Cites_doi	10.1109/78.960431 10.1016/j.sysconle.2006.07.002 10.1109/TSMCB.2012.2229389 10.1016/j.sigpro.2015.06.002 10.1109/TCSII.2016.2629663 10.1016/j.anucene.2016.06.033 10.1109/TSMC.2016.2616904 10.1109/TIE.2016.2622234 10.1109/TAC.2002.806674 10.1109/TSP.2004.827188 10.1109/9.887666 10.1109/78.905882 10.1109/9.67291 10.1016/j.automatica.2006.08.015 10.1002/asjc.1052 10.1109/TSP.2003.822287 10.1109/TFUZZ.2012.2235840 10.1109/TCSI.2003.809816 10.1016/j.jsv.2006.09.022 10.1109/TSMC.2017.2759900 10.1080/00207178608933586 10.1007/s00034-010-9149-9 10.1016/j.jfranklin.2015.01.004 10.1109/TAC.2003.817012 10.1002/rnc.1604 10.1109/TSMC.2016.2562511 10.1016/j.automatica.2004.03.011 10.1109/TAC.2007.908316 10.1109/TCSII.2012.2218491 10.1109/TR.2017.2749242 10.1109/TFUZZ.2011.2174244 10.1109/9.911428 10.1016/j.automatica.2007.04.024 10.1109/TPEL.2017.2670081 10.1002/rnc.1439
ContentType	Journal Article
Copyright	2018 Informa UK Limited, trading as Taylor & Francis Group 2018 2018 Informa UK Limited, trading as Taylor & Francis Group Distributed under a Creative Commons Attribution 4.0 International License
Copyright_xml	– notice: 2018 Informa UK Limited, trading as Taylor & Francis Group 2018 – notice: 2018 Informa UK Limited, trading as Taylor & Francis Group – notice: Distributed under a Creative Commons Attribution 4.0 International License
DBID	AAYXX CITATION 7SC 8FD JQ2 L7M L~C L~D 1XC
DOI	10.1080/00207721.2018.1543474
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 Hyper Article en Ligne (HAL)
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
DeliveryMethod	fulltext_linktorsrc
Discipline	Engineering
EISSN	1464-5319
EndPage	49
ExternalDocumentID	oai:HAL:hal-03175288v1 10_1080_00207721_2018_1543474 1543474
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 LJTGL 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 ADYSH JQ2 L7M L~C L~D 1XC
ID	FETCH-LOGICAL-c372t-98b49e90e33a019dd9c3edc35d478d0aea7c49c8f245b5ae0bb20ec2b1d4df983
IEDL.DBID	TFW
ISICitedReferencesCount	14
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000457606600004&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	Tue Oct 14 20:34:55 EDT 2025 Fri Jul 25 03:10:03 EDT 2025 Sat Nov 29 02:12:36 EST 2025 Tue Nov 18 22:36:43 EST 2025 Mon Oct 20 23:49:21 EDT 2025
IsPeerReviewed	true
IsScholarly	true
Issue	1
Language	English
License	Distributed under a Creative Commons Attribution 4.0 International License: http://creativecommons.org/licenses/by/4.0
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c372t-98b49e90e33a019dd9c3edc35d478d0aea7c49c8f245b5ae0bb20ec2b1d4df983
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ORCID	0000-0003-4796-2744 0000-0002-7564-3620
PQID	2154275499
PQPubID	2045514
PageCount	15
ParticipantIDs	informaworld_taylorfrancis_310_1080_00207721_2018_1543474 hal_primary_oai_HAL_hal_03175288v1 crossref_primary_10_1080_00207721_2018_1543474 crossref_citationtrail_10_1080_00207721_2018_1543474 proquest_journals_2154275499
PublicationCentury	2000
PublicationDate	2019-01-02
PublicationDateYYYYMMDD	2019-01-02
PublicationDate_xml	– month: 01 year: 2019 text: 2019-01-02 day: 02
PublicationDecade	2010
PublicationPlace	London
PublicationPlace_xml	– name: London
PublicationTitle	International journal of systems science
PublicationYear	2019
Publisher	Taylor & Francis Taylor & Francis Ltd
Publisher_xml	– name: Taylor & Francis – name: Taylor & Francis Ltd
References	Stépán G. (CIT0033) 1989 CIT0030 CIT0010 CIT0031 CIT0012 CIT0034 CIT0011 Malek-Zavarei M. (CIT0025) 1987 CIT0036 CIT0013 CIT0035 CIT0016 CIT0038 CIT0037 Górecki H. (CIT0014) 1989 CIT0018 CIT0017 CIT0039 CIT0041 CIT0040 CIT0021 CIT0020 CIT0042 CIT0001 CIT0023 CIT0022 CIT0003 CIT0002 CIT0005 CIT0027 CIT0004 CIT0026 CIT0007 CIT0029 CIT0006 CIT0028 CIT0009 CIT0008
References_xml	– ident: CIT0006 doi: 10.1109/78.960431 – ident: CIT0008 doi: 10.1016/j.sysconle.2006.07.002 – ident: CIT0029 doi: 10.1109/TSMCB.2012.2229389 – ident: CIT0005 doi: 10.1016/j.sigpro.2015.06.002 – volume-title: Analysis and synthesis of time delay systems year: 1989 ident: CIT0014 – ident: CIT0031 doi: 10.1109/TCSII.2016.2629663 – ident: CIT0034 doi: 10.1016/j.anucene.2016.06.033 – ident: CIT0037 doi: 10.1109/TSMC.2016.2616904 – ident: CIT0035 doi: 10.1109/TIE.2016.2622234 – ident: CIT0009 doi: 10.1109/TAC.2002.806674 – ident: CIT0013 doi: 10.1109/TSP.2004.827188 – volume-title: Retarded dynamical systems: Stability and characteristic functions year: 1989 ident: CIT0033 – ident: CIT0020 doi: 10.1109/9.887666 – ident: CIT0002 doi: 10.1109/78.905882 – ident: CIT0026 doi: 10.1109/9.67291 – ident: CIT0018 doi: 10.1016/j.automatica.2006.08.015 – ident: CIT0039 doi: 10.1002/asjc.1052 – volume-title: Time-delay systems: Analysis, optimization and applications year: 1987 ident: CIT0025 – ident: CIT0007 doi: 10.1109/TSP.2003.822287 – ident: CIT0042 doi: 10.1109/TFUZZ.2012.2235840 – ident: CIT0012 doi: 10.1109/TCSI.2003.809816 – ident: CIT0004 doi: 10.1016/j.jsv.2006.09.022 – ident: CIT0038 doi: 10.1109/TSMC.2017.2759900 – ident: CIT0022 doi: 10.1080/00207178608933586 – ident: CIT0017 doi: 10.1007/s00034-010-9149-9 – ident: CIT0027 doi: 10.1016/j.jfranklin.2015.01.004 – ident: CIT0011 doi: 10.1109/TAC.2003.817012 – ident: CIT0016 doi: 10.1002/rnc.1604 – ident: CIT0036 doi: 10.1109/TSMC.2016.2562511 – ident: CIT0021 doi: 10.1016/j.automatica.2004.03.011 – ident: CIT0010 doi: 10.1109/TAC.2007.908316 – ident: CIT0003 doi: 10.1109/TCSII.2012.2218491 – ident: CIT0030 doi: 10.1109/TR.2017.2749242 – ident: CIT0023 doi: 10.1109/TFUZZ.2011.2174244 – ident: CIT0041 doi: 10.1109/9.911428 – ident: CIT0040 doi: 10.1016/j.automatica.2007.04.024 – ident: CIT0001 doi: 10.1109/TPEL.2017.2670081 – ident: CIT0028 doi: 10.1002/rnc.1439
SSID	ssj0005520
Score	2.269491
Snippet	This paper discusses the problem of delay-dependent robust filtering design for polytopic systems with a time-varying delay. A new model transformation is... This paper discusses the problem of delay-dependent robust [Formula omitted.] filtering design for polytopic systems with a time-varying delay. A new model...
SourceID	hal proquest crossref informaworld
SourceType	Open Access Repository Aggregation Database Enrichment Source Index Database Publisher
StartPage	35
SubjectTerms	Approximation Automatic Delay-dependent criteria Design engineering Electric power Engineering Sciences Error analysis filter Filter design (mathematics) Filtration Linear matrix inequalities linear matrix inequality (LMI) Linearization Mathematical analysis Matrix methods polytopic uncertainties Reduced order filters Time delay systems time-varying delay
Title	An input-output approach to H∞ reduced filter design for polytopic time-varying delay systems
URI	https://www.tandfonline.com/doi/abs/10.1080/00207721.2018.1543474 https://www.proquest.com/docview/2154275499 https://hal.science/hal-03175288
Volume	50
WOSCitedRecordID	wos000457606600004&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 Journals Complete 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/eLvHCXMwrZ1La9wwEIBFGnJoD03SB93mgQi9utiSHEnHpWTZQwg5JCQ3oZepYbGN7V3IP-ivyI_LL6nGj82GEPbQnoyNJaPnzMgz3yD0Q1BGbJDsEZOZjRjRNDI8GCvS-KDK0XOeMdslm-BXV-L-Xl4P3oTN4FYJNnTWgyK6vRoWtzbN6BEHEdxxUArBuksEHI1QxoEIGkQ_LM2b2d2zk0c6gBmDkQRFxhiet2p5IZ3e_e58IzcJpq927E4Mzfb_QwMO0MdBB8XTftIcoh1ffEIfNsiEn5GaFjgvqmUblcs2XPDIHsdtiedPfx5xDcxX73CWw_927DpPEBzagKty8dCWVW4xJK6PVrqGUCoMOMoH3JOjmy_odnZx82seDbkYIks5aSMpDJNexp5SHbRC56Sl3lmaOsaFi7XX3DJpRUZYalLtY2NI7C0xiWMuk4J-RbtFWfhvCLNU89ieW02dD5NDiMwLb0RCHZg_Pp0gNo6BsgOoHPJlLFSy5pn2_aeg_9TQfxP0c12s6kkd2wqchQFevwuc7fn0UsGzGLQqIsQqmSC5Of6q7c5Rsj7piaJbPnA8ThY17AyNCioWIxys8u__UPUReh9uZXcWRI7Rblsv_Qnas6s2b-rTbg38BQFiAYY
linkProvider	Taylor & Francis
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3NTuMwEB4Bi7TsYRdYEOVn10JcgxLbwfaxQlRdUXoqgpuV2I62EkqqNq3EG_AUPBxPsp78lCK04rB7ipRkHHk89vxk5huAM8k4NV6zB1xlJuA0YUEqvLOiUudNOXYhMm6qZhNiOJT392q1FgbTKtGHzmqgiOqsxs2Nweg2JQ5LuENvFaJ7F0mMjTAu-Dp8ir2uRfz8Ue_uNc0jbqAZvZuENG0Vz9-GeaOf1n9X2ZGrGKbvzuxKEfW-_Y8pbMPXxgwl3VpudmDN5bvwZQWc8Dvobk7G-WReBsW89BfSwo-TsiD9l6dnMkXYV2dJNsZf7sRWySDET4JMiofHspiMDcHe9cEimWI1FUFEykdSg0fP9uC2dzW67AdNO4bAMEHLQMmUK6dCx1jiDUNrlWHOGhZbLqQNE5cIw5WRGeVxGicuTFMaOkPTyHKbKcn2YSMvcncAhMeJCM2FSZh1Xj6kzJx0qYyYRQ_IxR3g7SJo02CVY8uMBx0tIU1r_mnkn27414HzJdmkBuv4iODUr_DyXYTa7ncHGu-FaFhRKRdRB9SqAOiyCqVkdd8TzT74wHErLbo5HGbaW1mcCnTMD_9h6J_wuT-6GejBr-H1EWz5R6oKDdFj2Cinc3cCm2ZRjmfTH9WG-ANR6AWw
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3NatwwEB6atJT0kP4lZJO0FaFXF1uSV9JxSbJsaVhySEhuwtYPXQi22fUu5A3yFH24Pkk1_tluKCWH9mSwPTKSRtI345lvAD5LxqkJJ3vElTcRpxmLchGMFZW7AOXYUHhummITYjqVt7fqsosmXHRhlWhD-5YootmrcXFX1vcRcZjBHQdQiNZdItE1wrjgW_A8QOchKvnV-OZ3lEfaMTMGKwll-iSevzXz6Hja-t4ER25SmP6xZTfn0Pj1f-jBG9jtQCgZtVrzFp654h282qAmfA96VJBZUS3rqFzW4UJ68nFSl2Ty8-EHmSPpq7PEz_CHO7FNKAgJfSBVeXdfl9XMEKxcH62yOeZSEeSjvCctdfRiD67H51enk6grxhAZJmgdKZlz5VTsGMsCLLRWGeasYanlQto4c5kwXBnpKU_zNHNxntPYGZonlluvJNuH7aIs3AEQnmYiNkOTMeuCdkjpnXS5TJhF-8elA-D9HGjTMZVjwYw7nawJTdvx0zh-uhu_AXxZi1UtVcdTAidhgtfvItH2ZHSh8V6MsIpKuUoGoDbnX9eNI8W3VU80e-IDx72y6G5rWOiAsTgVaJYf_kPTn-Dl5dlYX3ydfjuCnfBENX4hegzb9XzpPsALs6pni_nHZjn8AjJTBGI
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=An+input%E2%80%93output+approach+to+H+%E2%88%9E+reduced+filter+design+for+polytopic+time-varying+delay+systems&rft.jtitle=International+journal+of+systems+science&rft.au=El+Aiss%2C+Hicham&rft.au=Zoulagh%2C+Taha&rft.au=Hmamed%2C+Abdelaziz&rft.au=El+Hajjaji%2C+Ahmed&rft.date=2019-01-02&rft.pub=Taylor+%26+Francis&rft.issn=0020-7721&rft.eissn=1464-5319&rft.volume=50&rft.issue=1&rft.spage=35&rft.epage=49&rft_id=info:doi/10.1080%2F00207721.2018.1543474&rft.externalDBID=HAS_PDF_LINK&rft.externalDocID=oai%3AHAL%3Ahal-03175288v1
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