Approach to Gait Coordination: Adaptive Fuzzy Finite-Time Control of a Stochastic Prosthesis-Human Symbiosis with Intentional Delay

The generation of intentional delay in response to the stride frequency is seldom considered in prosthesis-human symbiosis. Unfortunately, such intentionally delayed human-robot interaction poses a new challenge to their gait coordination in stochastic environments. Utilizing fuzzy logic systems (FL...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on fuzzy systems Vol. 31; no. 11; pp. 1 - 15
Main Authors Ma, Xin, Zhang, Xiaoxu, Fang, Hongbin, Xu, Jian
Format Journal Article
LanguageEnglish
Published New York IEEE 01.11.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Online AccessGet full text

Cover

Loading…
Abstract The generation of intentional delay in response to the stride frequency is seldom considered in prosthesis-human symbiosis. Unfortunately, such intentionally delayed human-robot interaction poses a new challenge to their gait coordination in stochastic environments. Utilizing fuzzy logic systems (FLSs), we investigate an adaptive fuzzy finite-time control of a stochastic prosthesis-human symbiosis with intentional delay to address this issue. Noting that the intentional delay is related to walking velocity, this work conducts experiments on ten healthy subjects to identify the intentional delays at different velocities using the FLS. Introducing the FLS-identified delay and contralateral healthy limb gaits, we propose a prosthetic gait planner to simultaneously determine the reference stride frequency and stride length, thus properly regulating the desired velocity. Considering the adverse effects of the required intentional delay and state constraints in the stochastic framework, we propose a new statistical Lyapunov-Krasovskii functional, together with a Tan-type barrier Lyapunov function. Correspondingly, an adaptive fuzzy controller is developed via a backstepping design, thus solving the semi-global finite-time stable in probability with intentional delay, unknown nonlinearities, and state constraints. Application studies validate the efficacy of the proposed approach. The results show that our approach can predict walking behavior while performing gait coordination.
AbstractList The generation of intentional delay in response to the stride frequency is seldom considered in prosthesis-human symbiosis. Unfortunately, such intentionally delayed human-robot interaction poses a new challenge to their gait coordination in stochastic environments. Utilizing fuzzy logic systems (FLSs), we investigate an adaptive fuzzy finite-time control of a stochastic prosthesis-human symbiosis with intentional delay to address this issue. Noting that the intentional delay is related to walking velocity, this work conducts experiments on ten healthy subjects to identify the intentional delays at different velocities using the FLS. Introducing the FLS-identified delay and contralateral healthy limb gaits, we propose a prosthetic gait planner to simultaneously determine the reference stride frequency and stride length, thus properly regulating the desired velocity. Considering the adverse effects of the required intentional delay and state constraints in the stochastic framework, we propose a new statistical Lyapunov-Krasovskii functional, together with a Tan-type barrier Lyapunov function. Correspondingly, an adaptive fuzzy controller is developed via a backstepping design, thus solving the semi-global finite-time stable in probability with intentional delay, unknown nonlinearities, and state constraints. Application studies validate the efficacy of the proposed approach. The results show that our approach can predict walking behavior while performing gait coordination.
The generation of intentional delay in response to the stride frequency is seldom considered in prosthesis-human symbiosis (PHS). Unfortunately, such intentionally delayed human-robot interaction poses a new challenge to their gait coordination (GC) in stochastic environments. Utilizing fuzzy logic systems (FLSs), we investigate an adaptive fuzzy finite-time control of a stochastic PHS with intentional delay to address this issue. Noting that the intentional delay is related to walking velocity, this article conducts experiments on ten healthy subjects to identify the intentional delays at different velocities using the FLS. Introducing the FLS-identified delay and contralateral healthy limb gaits, we propose a prosthetic gait planner to simultaneously determine the reference stride frequency and stride length, thus properly regulating the desired velocity. Considering the adverse effects of the required intentional delay and state constraints in the stochastic framework, we propose a new statistical Lyapunov–Krasovskii functional, together with a Tan-type barrier Lyapunov function. Correspondingly, an adaptive fuzzy controller is developed via a backstepping design, thus solving the semi-global finite-time stable in probability with intentional delay, unknown nonlinearities, and state constraints. Application studies validate the efficacy of the proposed approach. The results show that our approach can predict walking behavior while performing GC.
Author Zhang, Xiaoxu
Fang, Hongbin
Ma, Xin
Xu, Jian
Author_xml – sequence: 1
  givenname: Xin
  orcidid: 0000-0001-6353-7575
  surname: Ma
  fullname: Ma, Xin
  organization: Academy for Engineering and Technology, Fudan University, Shanghai, China
– sequence: 2
  givenname: Xiaoxu
  orcidid: 0000-0002-8543-9922
  surname: Zhang
  fullname: Zhang, Xiaoxu
  organization: Academy for Engineering and Technology, Fudan University, Shanghai, China
– sequence: 3
  givenname: Hongbin
  orcidid: 0000-0001-6691-0531
  surname: Fang
  fullname: Fang, Hongbin
  organization: Academy for Engineering and Technology, Fudan University, Shanghai, China
– sequence: 4
  givenname: Jian
  orcidid: 0000-0002-3521-6843
  surname: Xu
  fullname: Xu, Jian
  organization: Academy for Engineering and Technology, Fudan University, Shanghai, China
BookMark eNp9kE9PwjAYxhuDiYB-AeOhiedhu42t9UbQAQmJJsCFy9J1XSjZ2tkWDVz94pY_B-PB9NA2eZ7nfZ9fD3SUVgKAe4wGGCP6tMxW6_UgRGE0iMIU-XMFupjGOEAoijv-jZIoSFKU3ICetVuEcDzEpAu-R21rNOMb6DScMOngWGtTSsWc1OoZjkrWOvkpYLY7HPYwk0o6ESxlI7xQOaNrqCvI4MJpvmHWSQ7fjbZuI6y0wXTXMAUX-6aQ2v_hl3QbOFNOqGM6q-GLqNn-FlxXrLbi7nL3wSp7XY6nwfxtMhuP5gEPaeIC7ptyjjDBccEFpzguhwkpcVUUKcdVSUtKSUnSgrOEpKlIE0YLXqASEZYSXEV98HjO9Y0_dsK6fKt3xq9h85CQmFCKh5FXhWcV9z2sEVXeGtkws88xyo-w8xPs_Ag7v8D2JvLHxKU7IXSGyfp_68PZKoUQv2Z5OU5o9AO8tpIC
CODEN IEFSEV
CitedBy_id crossref_primary_10_1109_TCYB_2024_3483148
Cites_doi 10.1109/tro.2021.3104244
10.1109/tcyb.2019.2894724
10.1109/mra.2022.3210565
10.1109/tfuzz.2017.2764851
10.1109/tnnls.2018.2886023
10.1109/tcyb.2018.2890256
10.1109/tcyb.2018.2865499
10.1249/mss.0b013e318201f6f8
10.1109/tcyb.2019.2903869
10.1109/jsen.2020.2994616
10.1109/tfuzz.2022.3179598
10.1109/tnnls.2017.2727223
10.1109/tcyb.2020.3031009
10.1126/scirobotics.aba6635
10.1109/tfuzz.2013.2260550
10.1109/tfuzz.2022.3145809
10.1002/acs.3033
10.1109/tie.2018.2821649
10.1109/tsmc.2018.2872421
10.1109/tfuzz.2022.3160303
10.1109/tac.2006.890320
10.1109/tfuzz.2020.3037959
10.1016/j.automatica.2011.08.050
10.1109/tcyb.2020.3009128
10.1109/tfuzz.2015.2417973
10.1016/j.ijmecsci.2021.106942
10.1109/tac.2022.3181697
10.1109/tsmc.2022.3145354
10.1109/tfuzz.2020.2979668
10.1109/tcyb.2021.3107357
10.1016/j.ijmecsci.2022.107896
10.1109/tcsi.2021.3061666
10.1109/tcyb.2020.3025604
10.1109/tsmc.2016.2633007
10.1109/tfuzz.2018.2882167
10.1126/sciadv.abd8354
10.1109/tcyb.2019.2953236
10.1109/tfuzz.2016.2567457
10.1109/tac.2004.841137
10.1109/tmech.2021.3068138
10.1016/j.jfranklin.2022.03.025
10.1109/tcyb.2019.2906118
10.1109/tcyb.2020.3008020
10.1109/tie.2018.2803773
10.1016/j.ins.2020.01.029
10.1126/scirobotics.abf2756
10.1109/tnsre.2018.2810165
10.1080/00140136608964399
10.1109/tfuzz.2021.3077317
10.1080/00207179.2021.1876924
10.1109/tfuzz.2019.2940919
10.1109/tfuzz.2020.3005350
10.1109/tcyb.2019.2940276
10.1109/tnnls.2021.3084820
10.1109/tcyb.2020.2970454
10.1109/tsmc.2020.3009728
10.1007/s00500-022-06973-5
10.1109/lra.2022.3143579
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2023
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2023
DBID 97E
RIA
RIE
AAYXX
CITATION
7SC
8FD
JQ2
L7M
L~C
L~D
DOI 10.1109/TFUZZ.2023.3270707
DatabaseName IEEE Xplore (IEEE)
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
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
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
Computer Science
EISSN 1941-0034
EndPage 15
ExternalDocumentID 10_1109_TFUZZ_2023_3270707
10109169
Genre orig-research
GrantInformation_xml – fundername: National Natural Science Foundation of China
  grantid: 11932015; 11902077
GroupedDBID -~X
.DC
0R~
29I
4.4
5GY
6IK
97E
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABQJQ
ABVLG
ACGFO
ACGFS
ACIWK
AENEX
AGQYO
AHBIQ
AKJIK
AKQYR
ALMA_UNASSIGNED_HOLDINGS
ATWAV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CS3
DU5
EBS
HZ~
IFIPE
IPLJI
JAVBF
LAI
M43
O9-
OCL
P2P
PQQKQ
RIA
RIE
RNS
TAE
TN5
5VS
AAYOK
AAYXX
AETIX
AGSQL
AI.
AIBXA
ALLEH
CITATION
EJD
H~9
ICLAB
IFJZH
RIG
VH1
7SC
8FD
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c296t-c110cc01814bcec914d568d1fbb7c1fd9d998d87bca6877e76a9bcb0d08a781f3
IEDL.DBID RIE
ISSN 1063-6706
IngestDate Mon Jun 30 02:36:01 EDT 2025
Tue Jul 01 01:55:36 EDT 2025
Thu Apr 24 22:58:00 EDT 2025
Wed Aug 27 02:14:15 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 11
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-c296t-c110cc01814bcec914d568d1fbb7c1fd9d998d87bca6877e76a9bcb0d08a781f3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0001-6691-0531
0000-0002-3521-6843
0000-0002-8543-9922
0000-0001-6353-7575
PQID 2884899153
PQPubID 85428
PageCount 15
ParticipantIDs ieee_primary_10109169
crossref_primary_10_1109_TFUZZ_2023_3270707
proquest_journals_2884899153
crossref_citationtrail_10_1109_TFUZZ_2023_3270707
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2023-11-01
PublicationDateYYYYMMDD 2023-11-01
PublicationDate_xml – month: 11
  year: 2023
  text: 2023-11-01
  day: 01
PublicationDecade 2020
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle IEEE transactions on fuzzy systems
PublicationTitleAbbrev TFUZZ
PublicationYear 2023
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
ref57
ref12
ref56
ref15
ref14
ref58
ref53
ref52
ref11
ref55
ref10
ref54
ref17
ref16
ref19
ref18
ref51
ref50
ref46
ref45
ref48
ref47
ref42
ref41
ref44
ref43
ref49
ref8
ref7
ref9
ref4
ref3
ref6
ref5
ref40
ref35
ref34
ref37
ref36
ref31
ref30
ref33
ref32
ref2
ref1
ref39
ref38
ref24
ref23
ref26
ref25
ref20
ref22
ref21
ref28
ref27
ref29
References_xml – ident: ref6
  doi: 10.1109/tro.2021.3104244
– ident: ref39
  doi: 10.1109/tcyb.2019.2894724
– ident: ref33
  doi: 10.1109/mra.2022.3210565
– ident: ref56
  doi: 10.1109/tfuzz.2017.2764851
– ident: ref31
  doi: 10.1109/tnnls.2018.2886023
– ident: ref32
  doi: 10.1109/tcyb.2018.2890256
– ident: ref20
  doi: 10.1109/tcyb.2018.2865499
– ident: ref11
  doi: 10.1249/mss.0b013e318201f6f8
– ident: ref28
  doi: 10.1109/tcyb.2019.2903869
– ident: ref53
  doi: 10.1109/jsen.2020.2994616
– ident: ref43
  doi: 10.1109/tfuzz.2022.3179598
– ident: ref51
  doi: 10.1109/tnnls.2017.2727223
– ident: ref14
  doi: 10.1109/tcyb.2020.3031009
– ident: ref9
  doi: 10.1126/scirobotics.aba6635
– ident: ref27
  doi: 10.1109/tfuzz.2013.2260550
– ident: ref42
  doi: 10.1109/tfuzz.2022.3145809
– ident: ref58
  doi: 10.1002/acs.3033
– ident: ref2
  doi: 10.1109/tie.2018.2821649
– ident: ref29
  doi: 10.1109/tsmc.2018.2872421
– ident: ref50
  doi: 10.1109/tfuzz.2022.3160303
– ident: ref36
  doi: 10.1109/tac.2006.890320
– ident: ref49
  doi: 10.1109/tfuzz.2020.3037959
– ident: ref41
  doi: 10.1016/j.automatica.2011.08.050
– ident: ref16
  doi: 10.1109/tcyb.2020.3009128
– ident: ref47
  doi: 10.1109/tfuzz.2015.2417973
– ident: ref10
  doi: 10.1016/j.ijmecsci.2021.106942
– ident: ref5
  doi: 10.1109/tac.2022.3181697
– ident: ref15
  doi: 10.1109/tsmc.2022.3145354
– ident: ref25
  doi: 10.1109/tfuzz.2020.2979668
– ident: ref4
  doi: 10.1109/tcyb.2021.3107357
– ident: ref12
  doi: 10.1016/j.ijmecsci.2022.107896
– ident: ref34
  doi: 10.1109/tcsi.2021.3061666
– ident: ref13
  doi: 10.1109/tcyb.2020.3025604
– ident: ref19
  doi: 10.1109/tsmc.2016.2633007
– ident: ref46
  doi: 10.1109/tfuzz.2018.2882167
– ident: ref3
  doi: 10.1126/sciadv.abd8354
– ident: ref40
  doi: 10.1109/tcyb.2019.2953236
– ident: ref30
  doi: 10.1109/tfuzz.2016.2567457
– ident: ref35
  doi: 10.1109/tac.2004.841137
– ident: ref7
  doi: 10.1109/tmech.2021.3068138
– ident: ref8
  doi: 10.1016/j.jfranklin.2022.03.025
– ident: ref21
  doi: 10.1109/tcyb.2019.2906118
– ident: ref45
  doi: 10.1109/tcyb.2020.3008020
– ident: ref52
  doi: 10.1109/tie.2018.2803773
– ident: ref37
  doi: 10.1016/j.ins.2020.01.029
– ident: ref38
  doi: 10.1126/scirobotics.abf2756
– ident: ref17
  doi: 10.1109/tnsre.2018.2810165
– ident: ref24
  doi: 10.1080/00140136608964399
– ident: ref26
  doi: 10.1109/tfuzz.2021.3077317
– ident: ref57
  doi: 10.1080/00207179.2021.1876924
– ident: ref23
  doi: 10.1109/tfuzz.2019.2940919
– ident: ref54
  doi: 10.1109/tfuzz.2020.3005350
– ident: ref18
  doi: 10.1109/tcyb.2019.2940276
– ident: ref22
  doi: 10.1109/tnnls.2021.3084820
– ident: ref48
  doi: 10.1109/tcyb.2020.2970454
– ident: ref44
  doi: 10.1109/tsmc.2020.3009728
– ident: ref55
  doi: 10.1007/s00500-022-06973-5
– ident: ref1
  doi: 10.1109/lra.2022.3143579
SSID ssj0014518
Score 2.4462
Snippet The generation of intentional delay in response to the stride frequency is seldom considered in prosthesis-human symbiosis. Unfortunately, such intentionally...
The generation of intentional delay in response to the stride frequency is seldom considered in prosthesis-human symbiosis (PHS). Unfortunately, such...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1
SubjectTerms Adaptive control
adaptive fuzzy finite-time control
Coordination
Delay
Delays
Fuzzy control
Fuzzy logic
fuzzy logic system (FLS)
Fuzzy systems
Gait
Human engineering
Human-robot interaction
intentional delay
Legged locomotion
Liapunov functions
Prostheses
Prosthetics
Robots
Statistical analysis
Stochastic processes
Stochastic prosthesis-human symbiosis
Symbiosis
Walking
Title Approach to Gait Coordination: Adaptive Fuzzy Finite-Time Control of a Stochastic Prosthesis-Human Symbiosis with Intentional Delay
URI https://ieeexplore.ieee.org/document/10109169
https://www.proquest.com/docview/2884899153
Volume 31
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1Lb9QwELZoT3CgUIpYKGgO3JBDsuv4wW21ECokKqR2paqXyK-oEWVTsdnD7pU_jsdOqgICcUskO7Iytuf5fUPIa1YIp2XDKSvzGWXBRKfK8YI63ZTGOa2Ux9DA51N-smSfLsqLAawesTDe-1h85jN8jLl819kNhsrCCUcaS672yF7w3BJY6zZlwMoi4d74jHKR8xEhk6u359Xy8jLDRuHZbCqQ4OYXLRTbqvxxF0cFUx2Q03Fpqa7ka7bpTWZ3v7E2_vfaH5GHg6kJ87Q3HpN7fnVIDsY2DjCc6kPy4A4n4RPyYz6wjEPfwUfd9rDogoPapqjhO5g7fYNXJFSb3W4LVYtGK0UkCSxS2Tt0DWg46zt7pZEFGr4gsuTKr9s1jTkDONt-M20X3gHDwBDL6FNMEt77a709Isvqw_nihA6dGqidKt5TG36ztcj9xYz1VhXMlVy6ojFG2KJxygWvzklhrOZSCC-4Vsaa3OVSC1k0s6dkf9Wt_DMCRWMZUu4baS2bMm8Ml16WWpYyqHPFJqQYJVfbgcYcu2lc19GdyVUdpV2jtOtB2hPy5nbOTSLx-OfoIxTfnZFJchNyPO6Qejjo63oqJQsua9Abz_8y7QW5j19P-MVjst9_3_iXwZDpzau4gX8CQX_w8A
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3Nb9MwFH-CcYAdGIxNFAb4wA05xK3j2NyqQiiwVUhrpWmXyF_RIrZmoumhvfKP449kGiAQt0SyFSvP9vv8_R7Aa0pyI3nFMM3SEabORMfCMIKNrDJljBTC-tDAyYxNF_TzWXbWgdUDFsZaG4rPbOIfQy7fNHrtQ2XuhHsaSybuwj2n-DMS4Vo3SQOakYh8YyPM8pT1GJlUvJ0Xi_PzxLcKT0bD3FPc_KKHQmOVP27joGKKPZj1i4uVJd-SdasSvf2Nt_G_V_8IHnbGJhrH3fEY7tjlPuz1jRxQd673YfcWK-ET-DHueMZR26CPsm7RpHEuah3jhu_Q2Mhrf0miYr3dblBRe7MVeywJmsTCd9RUSKLTttEX0vNAo68eW3JhV_UKh6wBOt1cqbpx78gHglEopI9RSfTeXsrNASyKD_PJFHe9GrAeCtZi7X6z1p79iypttSDUZIwbUimVa1IZYZxfZ3iutGQ8z23OpFBapSblMuekGh3CzrJZ2qeASKWpJ91XXGs6pFYpxi3PJM-4U-iCDoD0kit1R2Tu-2lclsGhSUUZpF16aZedtAfw5mbOdaTx-OfoAy--WyOj5AZw1O-Qsjvqq3LIOXVOq9Mcz_4y7RXcn85PjsvjT7Mvz-GB_1JEMx7BTvt9bV84s6ZVL8Nm_gn1DvQ5
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=Approach+to+Gait+Coordination%3A+Adaptive+Fuzzy+Finite-Time+Control+of+a+Stochastic+Prosthesis-Human+Symbiosis+With+Intentional+Delay&rft.jtitle=IEEE+transactions+on+fuzzy+systems&rft.au=Ma%2C+Xin&rft.au=Zhang%2C+Xiaoxu&rft.au=Fang%2C+Hongbin&rft.au=Xu%2C+Jian&rft.date=2023-11-01&rft.issn=1063-6706&rft.eissn=1941-0034&rft.volume=31&rft.issue=11&rft.spage=3881&rft.epage=3895&rft_id=info:doi/10.1109%2FTFUZZ.2023.3270707&rft.externalDBID=n%2Fa&rft.externalDocID=10_1109_TFUZZ_2023_3270707
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1063-6706&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1063-6706&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1063-6706&client=summon