{"id":"https://openalex.org/W2102040066","doi":"https://doi.org/10.1109/acc.2011.5991184","title":"A nonlinear optimal human postural regulator","display_name":"A nonlinear optimal human postural regulator","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2102040066","doi":"https://doi.org/10.1109/acc.2011.5991184","mag":"2102040066"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2011.5991184","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5991184","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100411258","display_name":"Yao Li","orcid":"https://orcid.org/0000-0002-9854-0296"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yao Li","raw_affiliation_strings":["Department of Biomedical Engineering, University of Southern California, Los Angeles, CA, USA","Department of Biomedical Engineering, University of Southern California, Los Angeles, USA, 90089"],"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Department of Biomedical Engineering, University of Southern California, Los Angeles, USA, 90089","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109434373","display_name":"William S. Levine","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William S. Levine","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Maryland, College Park, MD, USA","Department of Electrical and Computer Engineering, University of Maryland at College Park, USA 20740#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Maryland at College Park, USA 20740#TAB#","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005347732","display_name":"Yonghong Yang","orcid":"https://orcid.org/0000-0003-3547-4858"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yonghong Yang","raw_affiliation_strings":["Department of Rehabilitation Medicine, West China School of Medicine, Sichuan University, Chengdu, China","Department of Rehabilitation Medicine, West China School of Medicine, Sichuan University, Chengdu, China 610041"],"affiliations":[{"raw_affiliation_string":"Department of Rehabilitation Medicine, West China School of Medicine, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]},{"raw_affiliation_string":"Department of Rehabilitation Medicine, West China School of Medicine, Sichuan University, Chengdu, China 610041","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101679353","display_name":"Chengqi He","orcid":"https://orcid.org/0000-0002-4761-1883"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengqi He","raw_affiliation_strings":["Department of Rehabilitation Medicine, West China School of Medicine, Sichuan University, Chengdu, China","Department of Rehabilitation Medicine, West China School of Medicine, Sichuan University, Chengdu, China 610041"],"affiliations":[{"raw_affiliation_string":"Department of Rehabilitation Medicine, West China School of Medicine, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]},{"raw_affiliation_string":"Department of Rehabilitation Medicine, West China School of Medicine, Sichuan University, Chengdu, China 610041","institution_ids":["https://openalex.org/I24185976"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100411258"],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":null,"apc_paid":null,"fwci":0.6037,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.8108362,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"5420","last_page":"5425"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10114","display_name":"Balance, Gait, and Falls Prevention","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3612","display_name":"Physical Therapy, Sports Therapy and Rehabilitation"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10114","display_name":"Balance, Gait, and Falls Prevention","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3612","display_name":"Physical Therapy, Sports Therapy and Rehabilitation"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11023","display_name":"Prosthetics and Rehabilitation Robotics","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11227","display_name":"Diabetic Foot Ulcer Assessment and Management","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2712","display_name":"Endocrinology, Diabetes and Metabolism"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/inverted-pendulum","display_name":"Inverted pendulum","score":0.7834486961364746},{"id":"https://openalex.org/keywords/center-of-pressure","display_name":"Center of pressure (fluid mechanics)","score":0.7647281289100647},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7136809229850769},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6114245653152466},{"id":"https://openalex.org/keywords/kinematics","display_name":"Kinematics","score":0.5876073241233826},{"id":"https://openalex.org/keywords/sagittal-plane","display_name":"Sagittal plane","score":0.5540668368339539},{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.5222369432449341},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47701382637023926},{"id":"https://openalex.org/keywords/pendulum","display_name":"Pendulum","score":0.4643251299858093},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3702516555786133},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2712256908416748},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1979401409626007},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12409278750419617},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09058719873428345}],"concepts":[{"id":"https://openalex.org/C192921069","wikidata":"https://www.wikidata.org/wiki/Q550134","display_name":"Inverted pendulum","level":3,"score":0.7834486961364746},{"id":"https://openalex.org/C76542214","wikidata":"https://www.wikidata.org/wiki/Q604830","display_name":"Center of pressure (fluid mechanics)","level":3,"score":0.7647281289100647},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7136809229850769},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6114245653152466},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.5876073241233826},{"id":"https://openalex.org/C178910020","wikidata":"https://www.wikidata.org/wiki/Q2211994","display_name":"Sagittal plane","level":2,"score":0.5540668368339539},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.5222369432449341},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47701382637023926},{"id":"https://openalex.org/C110639684","wikidata":"https://www.wikidata.org/wiki/Q20702","display_name":"Pendulum","level":2,"score":0.4643251299858093},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3702516555786133},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2712256908416748},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1979401409626007},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12409278750419617},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09058719873428345},{"id":"https://openalex.org/C13393347","wikidata":"https://www.wikidata.org/wiki/Q8424","display_name":"Aerodynamics","level":2,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2011.5991184","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5991184","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.6100000143051147}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W160492205","https://openalex.org/W1968784303","https://openalex.org/W2017365614","https://openalex.org/W2019384070","https://openalex.org/W2044951073","https://openalex.org/W2091763991","https://openalex.org/W2098996967","https://openalex.org/W2116434157","https://openalex.org/W2128108526","https://openalex.org/W2167633283","https://openalex.org/W2296319761","https://openalex.org/W6677596301","https://openalex.org/W6679157543"],"related_works":["https://openalex.org/W2000297171","https://openalex.org/W2777256819","https://openalex.org/W4221159894","https://openalex.org/W4297058887","https://openalex.org/W962423920","https://openalex.org/W4225346682","https://openalex.org/W4307280152","https://openalex.org/W2006107905","https://openalex.org/W2116405642","https://openalex.org/W2078858993"],"abstract_inverted_index":{"A":[0,34],"postural":[1,44],"control":[2,37,132],"model":[3],"for":[4,99],"a":[5,20,48,58,82,121,131],"quietly":[6],"standing":[7],"human":[8,16],"is":[9,17,39,118],"proposed.":[10],"The":[11,128],"musculoskeletal":[12],"dynamics":[13],"of":[14,65,72,75,115,142],"the":[15,25,43,55,63,69,73,85,89,93,104,110,139,143],"modeled":[18],"as":[19],"triple":[21],"inverted":[22],"pendulum":[23],"in":[24,54,61],"sagittal":[26],"plan,":[27],"including":[28],"ankle,":[29],"knee":[30],"and":[31,57,92,125,146],"hip":[32],"joints.":[33],"nonlinear":[35,122],"optimal":[36],"problem":[38,124],"defined":[40],"to":[41,97,113,138],"study":[42],"sway.":[45],"It":[46],"has":[47],"performance":[49],"measure":[50],"with":[51],"quadratic":[52],"terms":[53],"controls":[56],"quartic":[59],"term":[60],"either":[62],"center":[64,74],"pressure":[66],"(COP)":[67],"or":[68],"horizontal":[70],"projection":[71],"mass":[76],"(COM).":[77],"This":[78],"objective":[79],"function":[80],"provides":[81],"trade-off":[83],"between":[84],"allowed":[86],"deviations":[87],"from":[88],"nominal":[90],"value":[91],"neuromuscular":[94],"energy":[95],"required":[96],"correct":[98],"these":[100,116],"deviations.":[101],"By":[102],"using":[103],"Model":[105],"Predictive":[106],"Control":[107],"(MPC)":[108],"technique,":[109],"discrete-time":[111],"approximation":[112],"each":[114],"problems":[117],"converted":[119],"into":[120],"programming":[123],"then":[126],"solved.":[127],"solution":[129],"gives":[130],"scheme":[133],"that":[134],"demonstrates":[135],"qualitative":[136],"agreement":[137],"main":[140],"features":[141],"joint":[144],"kinematics":[145],"coordination":[147],"observed":[148],"experimentally.":[149]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}