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NARMAX representation and identification of ankle dynamics
Representation and identification of a parallel pathway description of ankle dynamics as a model of the nonlinear autoregressive, moving average exogenous (NARMAX) class is considered. A nonlinear difference equation describing this ankle model is derived theoretically and shown to be of the NARMAX...
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Published in: | IEEE transactions on biomedical engineering 2003-01, Vol.50 (1), p.70-81 |
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description | Representation and identification of a parallel pathway description of ankle dynamics as a model of the nonlinear autoregressive, moving average exogenous (NARMAX) class is considered. A nonlinear difference equation describing this ankle model is derived theoretically and shown to be of the NARMAX form. Identification methods for NARMAX models are applied to ankle dynamics and its properties investigated via continuous-time simulations of experimental conditions. Simulation results show that 1) the outputs of the NARMAX model match closely those generated using continuous-time methods and 2) NARMAX identification methods applied to ankle dynamics provide accurate discrete-time parameter estimates. Application of NARMAX identification to experimental human ankle data models with high cross-validation variance accounted for. |
doi_str_mv | 10.1109/TBME.2002.803507 |
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A nonlinear difference equation describing this ankle model is derived theoretically and shown to be of the NARMAX form. Identification methods for NARMAX models are applied to ankle dynamics and its properties investigated via continuous-time simulations of experimental conditions. Simulation results show that 1) the outputs of the NARMAX model match closely those generated using continuous-time methods and 2) NARMAX identification methods applied to ankle dynamics provide accurate discrete-time parameter estimates. Application of NARMAX identification to experimental human ankle data models with high cross-validation variance accounted for.</description><identifier>ISSN: 0018-9294</identifier><identifier>ISSN: 1558-2531</identifier><identifier>EISSN: 1558-2531</identifier><identifier>DOI: 10.1109/TBME.2002.803507</identifier><identifier>PMID: 12617526</identifier><identifier>CODEN: IEBEAX</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Ankle - physiology ; Ankle dynamics ; Ankle Joint - physiology ; Autoregressive processes ; Biological and medical sciences ; Biological system modeling ; Biological systems ; Biomedical engineering ; Computer Simulation ; Data models ; Difference equations ; Dynamic tests ; Elasticity ; Feedback ; Human ; Humans ; Identification methods ; Male ; Mathematical modeling ; Mathematical models ; Medical sciences ; Metalloporphyrins ; Models, Biological ; Movement - physiology ; Muscle, Skeletal - physiology ; NARMAX ; NATURAL SCIENCES ; NATURVETENSKAP ; Nonlinear dynamical systems ; Nonlinear Dynamics ; Nonlinear systems ; Nonlinearity ; Parameter estimation ; Representations ; Reproducibility of Results ; Rotation ; Sensitivity and Specificity ; Stochastic Processes ; System identification ; Torque ; Viscosity</subject><ispartof>IEEE transactions on biomedical engineering, 2003-01, Vol.50 (1), p.70-81</ispartof><rights>2003 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2003</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c505t-5ae945ea708c64b3c41fb5461b533deb6cb1c0ea77dd25d65cea7cc3257137163</citedby><cites>FETCH-LOGICAL-c505t-5ae945ea708c64b3c41fb5461b533deb6cb1c0ea77dd25d65cea7cc3257137163</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1179133$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>230,314,780,784,885,4024,27923,27924,27925,54796</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=14541504$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/12617526$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-46761$$DView record from Swedish Publication Index$$Hfree_for_read</backlink></links><search><creatorcontrib>Kukreja, S.L.</creatorcontrib><creatorcontrib>Galiana, H.L.</creatorcontrib><creatorcontrib>Kearney, R.E.</creatorcontrib><title>NARMAX representation and identification of ankle dynamics</title><title>IEEE transactions on biomedical engineering</title><addtitle>TBME</addtitle><addtitle>IEEE Trans Biomed Eng</addtitle><description>Representation and identification of a parallel pathway description of ankle dynamics as a model of the nonlinear autoregressive, moving average exogenous (NARMAX) class is considered. A nonlinear difference equation describing this ankle model is derived theoretically and shown to be of the NARMAX form. Identification methods for NARMAX models are applied to ankle dynamics and its properties investigated via continuous-time simulations of experimental conditions. Simulation results show that 1) the outputs of the NARMAX model match closely those generated using continuous-time methods and 2) NARMAX identification methods applied to ankle dynamics provide accurate discrete-time parameter estimates. Application of NARMAX identification to experimental human ankle data models with high cross-validation variance accounted for.</description><subject>Ankle - physiology</subject><subject>Ankle dynamics</subject><subject>Ankle Joint - physiology</subject><subject>Autoregressive processes</subject><subject>Biological and medical sciences</subject><subject>Biological system modeling</subject><subject>Biological systems</subject><subject>Biomedical engineering</subject><subject>Computer Simulation</subject><subject>Data models</subject><subject>Difference equations</subject><subject>Dynamic tests</subject><subject>Elasticity</subject><subject>Feedback</subject><subject>Human</subject><subject>Humans</subject><subject>Identification methods</subject><subject>Male</subject><subject>Mathematical modeling</subject><subject>Mathematical models</subject><subject>Medical sciences</subject><subject>Metalloporphyrins</subject><subject>Models, Biological</subject><subject>Movement - physiology</subject><subject>Muscle, Skeletal - physiology</subject><subject>NARMAX</subject><subject>NATURAL SCIENCES</subject><subject>NATURVETENSKAP</subject><subject>Nonlinear dynamical systems</subject><subject>Nonlinear Dynamics</subject><subject>Nonlinear systems</subject><subject>Nonlinearity</subject><subject>Parameter estimation</subject><subject>Representations</subject><subject>Reproducibility of Results</subject><subject>Rotation</subject><subject>Sensitivity and Specificity</subject><subject>Stochastic Processes</subject><subject>System identification</subject><subject>Torque</subject><subject>Viscosity</subject><issn>0018-9294</issn><issn>1558-2531</issn><issn>1558-2531</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><recordid>eNqFkt9rFDEQx0NR2vPad0GQQ_DHg3tmkkyS9e2sVQv9AaWKbyGbzUrq3u6Z3CL9782yhwc-1KdkZj4zzI8vIU-BLgFo-e72w-XZklHKlppypOqAzABRFww5PCIzSkEXJSvFEXmS0l02hRbykBwBk6CQyRl5f7W6uVx9X0S_iT75bmu3oe8WtqsXoc5maIKbXH2TvT9bv6jvO7sOLh2Tx41tkz_ZvXPy9dPZ7emX4uL68_np6qJwSHFboPWlQG8V1U6KijsBTYVCQoWc176SrgJHc1zVNcNaost_5zhDBVyB5HPydqqbfvvNUJlNDGsb701vg_kYvq1MH3-YNgxGSCUh468nfBP7X4NPW7MOyfm2tZ3vh2S05lQIRcfCrx4kFacyr5n_F2RaCND5BHPy5kEQZJ5JaAYioy_-Qe_6IXZ5kblDwVErpTJEJ8jFPqXom7_DAzWjAsyoADMqwEwKyCnPd3WHau3rfcLu5Bl4uQNscrZtou1cSHtOoACkY4PPJi547_dhUCVwzv8AAwy-tg</recordid><startdate>200301</startdate><enddate>200301</enddate><creator>Kukreja, S.L.</creator><creator>Galiana, H.L.</creator><creator>Kearney, R.E.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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physiology</topic><topic>Ankle dynamics</topic><topic>Ankle Joint - physiology</topic><topic>Autoregressive processes</topic><topic>Biological and medical sciences</topic><topic>Biological system modeling</topic><topic>Biological systems</topic><topic>Biomedical engineering</topic><topic>Computer Simulation</topic><topic>Data models</topic><topic>Difference equations</topic><topic>Dynamic tests</topic><topic>Elasticity</topic><topic>Feedback</topic><topic>Human</topic><topic>Humans</topic><topic>Identification methods</topic><topic>Male</topic><topic>Mathematical modeling</topic><topic>Mathematical models</topic><topic>Medical sciences</topic><topic>Metalloporphyrins</topic><topic>Models, Biological</topic><topic>Movement - physiology</topic><topic>Muscle, Skeletal - physiology</topic><topic>NARMAX</topic><topic>NATURAL SCIENCES</topic><topic>NATURVETENSKAP</topic><topic>Nonlinear dynamical systems</topic><topic>Nonlinear Dynamics</topic><topic>Nonlinear systems</topic><topic>Nonlinearity</topic><topic>Parameter estimation</topic><topic>Representations</topic><topic>Reproducibility of Results</topic><topic>Rotation</topic><topic>Sensitivity and Specificity</topic><topic>Stochastic Processes</topic><topic>System identification</topic><topic>Torque</topic><topic>Viscosity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kukreja, S.L.</creatorcontrib><creatorcontrib>Galiana, H.L.</creatorcontrib><creatorcontrib>Kearney, R.E.</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEL</collection><collection>Pascal-Francis</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Aluminium Industry Abstracts</collection><collection>Biotechnology Research Abstracts</collection><collection>Ceramic Abstracts</collection><collection>Computer and Information Systems Abstracts</collection><collection>Corrosion Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Engineered Materials Abstracts</collection><collection>Materials Business File</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Materials Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>MEDLINE - Academic</collection><collection>SwePub</collection><collection>SwePub Articles</collection><collection>SWEPUB Linköpings universitet</collection><jtitle>IEEE transactions on biomedical engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kukreja, S.L.</au><au>Galiana, H.L.</au><au>Kearney, R.E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>NARMAX representation and identification of ankle dynamics</atitle><jtitle>IEEE transactions on biomedical engineering</jtitle><stitle>TBME</stitle><addtitle>IEEE Trans Biomed Eng</addtitle><date>2003-01</date><risdate>2003</risdate><volume>50</volume><issue>1</issue><spage>70</spage><epage>81</epage><pages>70-81</pages><issn>0018-9294</issn><issn>1558-2531</issn><eissn>1558-2531</eissn><coden>IEBEAX</coden><abstract>Representation and identification of a parallel pathway description of ankle dynamics as a model of the nonlinear autoregressive, moving average exogenous (NARMAX) class is considered. A nonlinear difference equation describing this ankle model is derived theoretically and shown to be of the NARMAX form. Identification methods for NARMAX models are applied to ankle dynamics and its properties investigated via continuous-time simulations of experimental conditions. Simulation results show that 1) the outputs of the NARMAX model match closely those generated using continuous-time methods and 2) NARMAX identification methods applied to ankle dynamics provide accurate discrete-time parameter estimates. Application of NARMAX identification to experimental human ankle data models with high cross-validation variance accounted for.</abstract><cop>New York, NY</cop><pub>IEEE</pub><pmid>12617526</pmid><doi>10.1109/TBME.2002.803507</doi><tpages>12</tpages></addata></record> |
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subjects | Ankle - physiology Ankle dynamics Ankle Joint - physiology Autoregressive processes Biological and medical sciences Biological system modeling Biological systems Biomedical engineering Computer Simulation Data models Difference equations Dynamic tests Elasticity Feedback Human Humans Identification methods Male Mathematical modeling Mathematical models Medical sciences Metalloporphyrins Models, Biological Movement - physiology Muscle, Skeletal - physiology NARMAX NATURAL SCIENCES NATURVETENSKAP Nonlinear dynamical systems Nonlinear Dynamics Nonlinear systems Nonlinearity Parameter estimation Representations Reproducibility of Results Rotation Sensitivity and Specificity Stochastic Processes System identification Torque Viscosity |
title | NARMAX representation and identification of ankle dynamics |
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