Adaptive Control of a Flexible String System With Input Hysteresis

In this brief, a vibration suppression scheme is investigated for a flexible string system with input hysteresis. The input hysteresis is formulated as a linear desired input and a "disturbance-like" term, whose unknown bound is then estimated by an adaptive law. Without constructing a hys...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on control systems technology Vol. 26; no. 2; pp. 693 - 700
Main Authors He, Wei, Meng, Tingting
Format Journal Article
LanguageEnglish
Published IEEE 01.03.2018
Subjects
Adaptation models
Adaptive control
Biological system modeling
boundary control
Closed loop systems
distributed parameter system
flexible string
Hysteresis
input hysteresis
vibration control
Vibrations
Online AccessGet full text
ISSN1063-6536
1558-0865
DOI10.1109/TCST.2017.2669158

Cover

Abstract In this brief, a vibration suppression scheme is investigated for a flexible string system with input hysteresis. The input hysteresis is formulated as a linear desired input and a "disturbance-like" term, whose unknown bound is then estimated by an adaptive law. Without constructing a hysteresis inverse, adaptive boundary control is designed to suppress the vibrations of the flexible string, cope with the uncertainties of system parameters, and tackle the hysteresis nonlinearities. Based on the extended LaSalle's invariance principle, asymptotic stability of the closed-loop system is also manifested. Simulations are also provided to show the effectiveness of the designed control.
AbstractList In this brief, a vibration suppression scheme is investigated for a flexible string system with input hysteresis. The input hysteresis is formulated as a linear desired input and a "disturbance-like" term, whose unknown bound is then estimated by an adaptive law. Without constructing a hysteresis inverse, adaptive boundary control is designed to suppress the vibrations of the flexible string, cope with the uncertainties of system parameters, and tackle the hysteresis nonlinearities. Based on the extended LaSalle's invariance principle, asymptotic stability of the closed-loop system is also manifested. Simulations are also provided to show the effectiveness of the designed control.
Author Wei He
Tingting Meng
Author_xml – sequence: 1
  givenname: Wei
  orcidid: 0000-0002-8944-9861
  surname: He
  fullname: He, Wei
– sequence: 2
  givenname: Tingting
  surname: Meng
  fullname: Meng, Tingting
BookMark eNp9kE1Lw0AQhhepYFv9AeJl_0DqfmQnm2MN1hYKHlrxGDabia6kSdldxf57G1o8ePA0w8AzL-8zIaOu75CQW85mnLP8fltstjPBeDYTADlX-oKMuVI6YRrU6LgzkAkoCVdkEsIHYzxVIhuTh3lt9tF9IS36Lvq-pX1DDV20-O2qFukmete90c0hRNzRVxff6arbf0a6HC4egwvX5LIxbcCb85ySl8Xjtlgm6-enVTFfJ1aAiomtuMSq4qlpNDIA3XAtRWUlZkYxA5zVFlKoLRqRpjUHlbEKpAVtGpGLTE4JP_21vg_BY1PuvdsZfyg5KwcJ5SChHCSUZwlHJvvDWBdNdENX49p_ybsT6RDxNynLpZbA5Q8MNWwY
CODEN IETTE2
CitedBy_id crossref_primary_10_1109_TSMC_2017_2692529
crossref_primary_10_1016_j_neucom_2019_04_056
crossref_primary_10_1109_TCST_2019_2932698
crossref_primary_10_1080_00207179_2022_2079563
crossref_primary_10_1049_iet_cta_2016_1446
crossref_primary_10_1080_00207179_2023_2175309
crossref_primary_10_3390_app9235122
crossref_primary_10_1177_0142331217731153
crossref_primary_10_1109_ACCESS_2018_2852002
crossref_primary_10_1007_s12555_020_0070_0
crossref_primary_10_1109_TCSI_2022_3149290
crossref_primary_10_1109_TSMC_2019_2963072
crossref_primary_10_1016_j_oceaneng_2018_08_020
crossref_primary_10_1109_TASE_2020_2983225
crossref_primary_10_1002_asjc_1555
crossref_primary_10_1002_rnc_6599
crossref_primary_10_1109_TASE_2024_3423789
crossref_primary_10_1016_j_jfranklin_2021_05_033
crossref_primary_10_1109_TCYB_2022_3165389
crossref_primary_10_3390_math11183841
crossref_primary_10_1177_01423312241279496
crossref_primary_10_1109_TCST_2020_2971957
crossref_primary_10_1016_j_isatra_2017_02_009
crossref_primary_10_1007_s11071_020_05778_1
crossref_primary_10_1038_s41598_024_77632_y
crossref_primary_10_1109_TNNLS_2017_2673865
crossref_primary_10_1016_j_conengprac_2024_105987
crossref_primary_10_1109_ACCESS_2020_2984558
crossref_primary_10_1109_TCST_2018_2849072
crossref_primary_10_1177_09596518221100087
crossref_primary_10_1002_mma_9854
crossref_primary_10_1109_TCST_2020_2991119
crossref_primary_10_1109_TFUZZ_2022_3203524
crossref_primary_10_1016_j_apor_2021_102882
crossref_primary_10_1016_j_oceaneng_2023_114832
crossref_primary_10_1109_JAS_2024_124653
crossref_primary_10_1109_TCYB_2019_2940276
crossref_primary_10_1007_s11071_018_4194_1
crossref_primary_10_1109_TSMC_2017_2749124
crossref_primary_10_1049_iet_cta_2016_1540
crossref_primary_10_1109_TASE_2024_3351739
crossref_primary_10_1016_j_automatica_2021_109800
crossref_primary_10_1007_s11071_017_3595_x
crossref_primary_10_1080_13873954_2019_1699121
crossref_primary_10_1109_TCST_2017_2780055
crossref_primary_10_1109_ACCESS_2018_2863037
crossref_primary_10_1186_s13660_022_02898_7
crossref_primary_10_1109_JAS_2021_1003937
crossref_primary_10_1186_s13660_019_2250_0
crossref_primary_10_1109_ACCESS_2018_2870956
crossref_primary_10_1109_TCSI_2023_3327254
crossref_primary_10_1049_iet_cta_2017_0076
crossref_primary_10_1002_asjc_1607
crossref_primary_10_1007_s40747_021_00418_6
crossref_primary_10_1080_00207179_2017_1423392
crossref_primary_10_1109_TSMC_2019_2947453
crossref_primary_10_1007_s11071_021_06887_1
crossref_primary_10_1007_s00500_021_05656_x
crossref_primary_10_1007_s12541_022_00662_x
crossref_primary_10_1007_s12555_019_0650_z
Cites_doi 10.1109/TSMC.2015.2466191
10.1109/TRO.2013.2240711
10.1016/j.automatica.2014.10.068
10.1016/j.ins.2012.02.050
10.1002/asjc.1358
10.1109/TMECH.2014.2358500
10.1016/S0005-1098(98)00151-4
10.1137/1.9780898718607
10.1049/iet-cta.2015.1044
10.1080/00207170701390132
10.1016/j.automatica.2012.01.006
10.1109/TNN.2009.2016959
10.1109/TNNLS.2017.2673865
10.1016/j.automatica.2014.05.006
10.1109/TSMC.2016.2562506
10.1007/978-1-4612-1352-9
10.1109/9.341778
10.1109/TCST.2015.2441001
10.1109/TCST.2014.2362718
10.1109/13.123422
10.1109/9.388689
10.1016/j.automatica.2006.01.018
10.1109/TNNLS.2014.2320744
10.1109/9.895588
10.1109/TIE.2013.2257153
10.1109/TIE.2016.2585080
10.1109/TAC.2004.835398
10.1007/s11071-016-3064-y
10.1006/jsvi.1996.0414
10.1109/TCST.2013.2278279
10.1016/j.ijhydene.2016.09.203
10.1109/TSMCB.2002.804368
10.1016/S0967-0661(02)00240-X
10.1109/TMECH.2011.2123909
ContentType Journal Article
DBID 97E
RIA
RIE
AAYXX
CITATION
DOI 10.1109/TCST.2017.2669158
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005–Present
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1558-0865
EndPage 700
ExternalDocumentID 10_1109_TCST_2017_2669158
7938361
Genre orig-research
GrantInformation_xml – fundername: Newton Advanced Fellowship from The Royal Society, U.K.
  grantid: NA160436
  funderid: 10.13039/501100000288
– fundername: National Natural Science Foundation of China
  grantid: 61522302; 61761130080
  funderid: 10.13039/501100001809
– fundername: National Basic Research Program of China (973 Program)
  grantid: 2013CB733100
– fundername: Beijing Natural Science Foundation
  grantid: 4172041
  funderid: 10.13039/501100004826
– fundername: Fundamental Research Funds for the China Central Universities of USTB
  grantid: FRF-BD-16-005A; FRF-TP-15-005C1
GroupedDBID -~X
.DC
0R~
29I
4.4
5GY
5VS
6IK
97E
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABQJQ
ABVLG
ACBEA
ACGFO
ACGFS
ACIWK
ACKIV
AENEX
AETIX
AGQYO
AGSQL
AHBIQ
AI.
AIBXA
AKJIK
AKQYR
ALLEH
ALMA_UNASSIGNED_HOLDINGS
ATWAV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CS3
DU5
EBS
EJD
HZ~
H~9
ICLAB
IFIPE
IFJZH
IPLJI
JAVBF
LAI
M43
O9-
OCL
P2P
RIA
RIE
RNS
TN5
VH1
AAYOK
AAYXX
CITATION
RIG
ID FETCH-LOGICAL-c265t-cb13ebb14af8e0668f1832bc3e7a50a610dc646dcea244d16570b63c68af29273
IEDL.DBID RIE
ISSN 1063-6536
IngestDate Tue Jul 01 02:35:58 EDT 2025
Thu Apr 24 23:01:44 EDT 2025
Wed Aug 27 02:55:08 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 2
Language English
License https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c265t-cb13ebb14af8e0668f1832bc3e7a50a610dc646dcea244d16570b63c68af29273
ORCID 0000-0002-8944-9861
PageCount 8
ParticipantIDs crossref_primary_10_1109_TCST_2017_2669158
crossref_citationtrail_10_1109_TCST_2017_2669158
ieee_primary_7938361
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2018-March
2018-3-00
PublicationDateYYYYMMDD 2018-03-01
PublicationDate_xml – month: 03
  year: 2018
  text: 2018-March
PublicationDecade 2010
PublicationTitle IEEE transactions on control systems technology
PublicationTitleAbbrev TCST
PublicationYear 2018
Publisher IEEE
Publisher_xml – name: IEEE
References ref35
ref13
ref34
ref12
ref37
ref15
ref36
ref14
ref31
ref30
ref11
ref32
ref10
ref2
ref39
ref17
ref38
zhou (ref28) 2008
ref19
ref18
ray (ref33) 1981
ref24
ref23
wu (ref16) 2016; 26
ref26
mayergoyz (ref5) 2003
ref25
ref20
ref22
ref21
he (ref29) 2012; 20
ref27
ref8
ref7
ref9
ref4
ref3
ref6
ref40
visintin (ref1) 2013
References_xml – ident: ref35
  doi: 10.1109/TSMC.2015.2466191
– ident: ref10
  doi: 10.1109/TRO.2013.2240711
– ident: ref39
  doi: 10.1016/j.automatica.2014.10.068
– ident: ref6
  doi: 10.1016/j.ins.2012.02.050
– ident: ref20
  doi: 10.1002/asjc.1358
– ident: ref22
  doi: 10.1109/TMECH.2014.2358500
– year: 2013
  ident: ref1
  publication-title: Differential Models of Hysteresis
– year: 2008
  ident: ref28
  publication-title: Adaptive Backstepping Control of Uncertain Systems Nonsmooth Nonlinearities Interactions or Time-Variations
– volume: 20
  start-page: 48
  year: 2012
  ident: ref29
  article-title: Robust adaptive boundary control of a vibrating string under unknown time-varying disturbance
  publication-title: IEEE Trans Control Syst Technol
– ident: ref11
  doi: 10.1016/S0005-1098(98)00151-4
– volume: 26
  start-page: 2787
  year: 2016
  ident: ref16
  article-title: Static output feedback control via PDE boundary and ODE measurements in linear cascaded ODE-beam systems
  publication-title: Automatica
– ident: ref24
  doi: 10.1137/1.9780898718607
– ident: ref14
  doi: 10.1049/iet-cta.2015.1044
– year: 2003
  ident: ref5
  publication-title: Mathematical Models of Hysteresis and their Applications
– ident: ref32
  doi: 10.1080/00207170701390132
– ident: ref37
  doi: 10.1016/j.automatica.2012.01.006
– ident: ref2
  doi: 10.1109/TNN.2009.2016959
– ident: ref15
  doi: 10.1109/TNNLS.2017.2673865
– ident: ref23
  doi: 10.1016/j.automatica.2014.05.006
– ident: ref13
  doi: 10.1109/TSMC.2016.2562506
– ident: ref31
  doi: 10.1007/978-1-4612-1352-9
– ident: ref3
  doi: 10.1109/9.341778
– ident: ref27
  doi: 10.1109/TCST.2015.2441001
– ident: ref17
  doi: 10.1109/TCST.2014.2362718
– ident: ref18
  doi: 10.1109/13.123422
– ident: ref8
  doi: 10.1109/9.388689
– ident: ref26
  doi: 10.1016/j.automatica.2006.01.018
– ident: ref38
  doi: 10.1109/TNNLS.2014.2320744
– ident: ref9
  doi: 10.1109/9.895588
– ident: ref4
  doi: 10.1109/TIE.2013.2257153
– ident: ref40
  doi: 10.1109/TIE.2016.2585080
– ident: ref7
  doi: 10.1109/TAC.2004.835398
– ident: ref21
  doi: 10.1007/s11071-016-3064-y
– year: 1981
  ident: ref33
  publication-title: Advanced Process Control
– ident: ref30
  doi: 10.1006/jsvi.1996.0414
– ident: ref25
  doi: 10.1109/TCST.2013.2278279
– ident: ref34
  doi: 10.1016/j.ijhydene.2016.09.203
– ident: ref36
  doi: 10.1109/TSMCB.2002.804368
– ident: ref19
  doi: 10.1016/S0967-0661(02)00240-X
– ident: ref12
  doi: 10.1109/TMECH.2011.2123909
SSID ssj0014527
Score 2.48663
Snippet In this brief, a vibration suppression scheme is investigated for a flexible string system with input hysteresis. The input hysteresis is formulated as a...
SourceID crossref
ieee
SourceType Enrichment Source
Index Database
Publisher
StartPage 693
SubjectTerms Adaptation models
Adaptive control
Biological system modeling
boundary control
Closed loop systems
distributed parameter system
flexible string
Hysteresis
input hysteresis
vibration control
Vibrations
Title Adaptive Control of a Flexible String System With Input Hysteresis
URI https://ieeexplore.ieee.org/document/7938361
Volume 26
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LS8NAEF5qT3rwVcX6Yg-exE2bd3KsxVKFemmLvYV9oljSosnFX-9MNg1FRLyFZReWmUnmm8zMN4TceFECbjUMmQn7nAUAMBiAI8V4nKo4jbUODTYKT56j8Tx4WoSLFrlremG01lXxmXbwscrlq5Us8VdZD2wp8THW2QEzs71aTcYgsONZIcLxWVSlJLs1n2ZvNpzOsIgrdsAbpS5Od9_yQVtDVSqfMjogk81tbCnJu1MWwpFfP4ga_3vdQ7Jfg0s6sNZwRFo6PyZ7W5SDHXI_UHyNnzg6tEXqdGUopyPkxRRLTacF7qOWyJy-vBWv9DFflwUd4wrE5m-fJ2Q-epgNx6yeo8CkF4UFk8L1tRBuwE2iAWIkBt9jIX0dc9AQACgloyBSUnNw9srFahgR-TJKuPFSwDenpJ2vcn1GKI9NoExshBR-EHM34WABimtANR6OLemS_kaymaxJxnHWxTKrgo1-mqEyMlRGViujS26bI2vLsPHX5g7KudlYi_j89-ULsguHE1sydknaxUeprwBDFOK6Mp5vzSzCnw
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT8JAEN4QPKgHX2jE5x48GQuUPrY9IpGAAhdK5NbsMxIJEG0v_npn2tIQY4y3ZrNtNjPTzjedmW8IuWv7AbhVz7OM1-KWCwDDAnCkLM5CxUKmtWewUXg09vtT93nmzSrkoeyF0VpnxWe6gZdZLl-tZIq_yppgS4GDsc4O-H3Xy7u1ypyBmw9ohRjHsfwsKVkvGDWbUXcSYRkXa4A_Cm2c777lhbbGqmRepXdIRpvz5MUk7400EQ359YOq8b8HPiIHBbykndwejklFL0_I_hbpYI08dhRf40eOdvMydboylNMeMmOKhaaTBPfRnMqcvs6TNzpYrtOE9nEFovP55ymZ9p6ibt8qJilYsu17iSWF7WghbJebQAPICAy-yUI6mnHQEUAoJX3XV1JzcPfKxnoY4TvSD7hph4Bwzkh1uVrqc0I5M64yzAgpHJdxO-BgA4prwDVtHFxSJ62NZGNZ0IzjtItFnIUbrTBGZcSojLhQRp3cl7esc46NvzbXUM7lxkLEF78v35LdfjQaxsPB-OWS7MGDgryA7IpUk49UXwOiSMRNZkjfK_XF7A
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=Adaptive+Control+of+a+Flexible+String+System+With+Input+Hysteresis&rft.jtitle=IEEE+transactions+on+control+systems+technology&rft.au=He%2C+Wei&rft.au=Meng%2C+Tingting&rft.date=2018-03-01&rft.issn=1063-6536&rft.eissn=1558-0865&rft.volume=26&rft.issue=2&rft.spage=693&rft.epage=700&rft_id=info:doi/10.1109%2FTCST.2017.2669158&rft.externalDBID=n%2Fa&rft.externalDocID=10_1109_TCST_2017_2669158
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1063-6536&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1063-6536&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1063-6536&client=summon