{"id":"https://openalex.org/W3041482332","doi":"https://doi.org/10.1109/tsmc.2020.3003797","title":"Optimal Tracking Control for Uncertain Nonlinear Systems With Prescribed Performance via Critic-Only ADP","display_name":"Optimal Tracking Control for Uncertain Nonlinear Systems With Prescribed Performance via Critic-Only ADP","publication_year":2020,"publication_date":"2020-07-07","ids":{"openalex":"https://openalex.org/W3041482332","doi":"https://doi.org/10.1109/tsmc.2020.3003797","mag":"3041482332"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2020.3003797","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2020.3003797","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics: Systems","raw_type":"journal-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/A5018165929","display_name":"Hongyang Dong","orcid":"https://orcid.org/0000-0003-4302-5323"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Hongyang Dong","raw_affiliation_strings":["School of Engineering, University of Warwick, Coventry, U.K"],"raw_orcid":"https://orcid.org/0000-0003-4302-5323","affiliations":[{"raw_affiliation_string":"School of Engineering, University of Warwick, Coventry, U.K","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000635250","display_name":"Xiaowei Zhao","orcid":"https://orcid.org/0000-0002-1182-4502"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Xiaowei Zhao","raw_affiliation_strings":["School of Engineering, University of Warwick, Coventry, U.K"],"raw_orcid":"https://orcid.org/0000-0002-1182-4502","affiliations":[{"raw_affiliation_string":"School of Engineering, University of Warwick, Coventry, U.K","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012004938","display_name":"Biao Luo","orcid":"https://orcid.org/0000-0002-3353-2586"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Biao Luo","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0002-3353-2586","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.8244,"has_fulltext":false,"cited_by_count":112,"citation_normalized_percentile":{"value":0.96787016,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"52","issue":"1","first_page":"561","last_page":"573"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12277","display_name":"Frequency Control in Power Systems","score":0.9865000247955322,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9746999740600586,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.712360143661499},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5996477007865906},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5811394453048706},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5396035313606262},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.536588728427887},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.5018835067749023},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4571497440338135},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.4561275243759155},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45370951294898987},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4515976309776306},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4485173225402832},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.44348204135894775},{"id":"https://openalex.org/keywords/overshoot","display_name":"Overshoot (microwave communication)","score":0.43059882521629333},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.42097893357276917},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.412462443113327},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.41225123405456543},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13608571887016296}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.712360143661499},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5996477007865906},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5811394453048706},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5396035313606262},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.536588728427887},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.5018835067749023},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4571497440338135},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.4561275243759155},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45370951294898987},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4515976309776306},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4485173225402832},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.44348204135894775},{"id":"https://openalex.org/C2780323453","wikidata":"https://www.wikidata.org/wiki/Q7113957","display_name":"Overshoot (microwave communication)","level":2,"score":0.43059882521629333},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.42097893357276917},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.412462443113327},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.41225123405456543},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13608571887016296},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsmc.2020.3003797","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2020.3003797","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"},{"id":"pmh:oai:wrap.warwick.ac.uk:138147","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2351290558","display_name":"Data-driven Intelligent Energy Management System for a Micro Grid","funder_award_id":"EP/S001905/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W130083205","https://openalex.org/W1967793246","https://openalex.org/W1972809999","https://openalex.org/W1975535582","https://openalex.org/W1977671496","https://openalex.org/W1981146152","https://openalex.org/W1983523797","https://openalex.org/W1987657756","https://openalex.org/W2007640554","https://openalex.org/W2010152647","https://openalex.org/W2022746453","https://openalex.org/W2039416625","https://openalex.org/W2045667708","https://openalex.org/W2047993072","https://openalex.org/W2048687352","https://openalex.org/W2052305027","https://openalex.org/W2052369206","https://openalex.org/W2067603665","https://openalex.org/W2072156826","https://openalex.org/W2076597241","https://openalex.org/W2086975818","https://openalex.org/W2097121541","https://openalex.org/W2097253853","https://openalex.org/W2104843094","https://openalex.org/W2108286682","https://openalex.org/W2121863487","https://openalex.org/W2142428281","https://openalex.org/W2152161277","https://openalex.org/W2157577161","https://openalex.org/W2167533089","https://openalex.org/W2253274025","https://openalex.org/W2273466378","https://openalex.org/W2314983263","https://openalex.org/W2462102501","https://openalex.org/W2543834468","https://openalex.org/W2559842172","https://openalex.org/W2569757722","https://openalex.org/W2570494446","https://openalex.org/W2585472245","https://openalex.org/W2618375042","https://openalex.org/W2641223160","https://openalex.org/W2765650568","https://openalex.org/W2769116835","https://openalex.org/W2800384809","https://openalex.org/W2884633276","https://openalex.org/W2885449752","https://openalex.org/W2900827964","https://openalex.org/W2901363724","https://openalex.org/W2979961302","https://openalex.org/W3005541763","https://openalex.org/W3103551169","https://openalex.org/W3104756413","https://openalex.org/W4214717370","https://openalex.org/W4301886962"],"related_works":["https://openalex.org/W4285284323","https://openalex.org/W2372856383","https://openalex.org/W1545539801","https://openalex.org/W2005085248","https://openalex.org/W3006614820","https://openalex.org/W2153861285","https://openalex.org/W4280596088","https://openalex.org/W2043000245","https://openalex.org/W2103496243","https://openalex.org/W2110713095"],"abstract_inverted_index":{"This":[0],"article":[1],"addresses":[2],"the":[3,45,53,57,74,80,86,105,109,124,147,150,154,175,178],"tracking":[4,91,127],"control":[5,23,46,114,128,157,180],"problem":[6,129],"for":[7,108],"a":[8,35,137,166],"class":[9],"of":[10,27,56,149,177],"nonlinear":[11],"systems":[12],"described":[13],"by":[14],"Euler\u2013Lagrange":[15],"equations":[16],"with":[17,39],"uncertain":[18],"system":[19],"parameters.":[20],"The":[21,48],"proposed":[22,81,179],"scheme":[24],"is":[25,42,120,143,163],"capable":[26],"guaranteeing":[28],"prescribed":[29],"performance":[30,88,112],"from":[31],"two":[32],"aspects:":[33],"1)":[34],"special":[36],"parameter":[37],"estimator":[38,49],"prescribed-performance":[40],"properties":[41],"embedded":[43],"in":[44],"scheme.":[47,181],"not":[50],"only":[51],"ensures":[52],"exponential":[54],"convergence":[55,94],"estimation":[58,76],"errors":[59],"under":[60],"relaxed":[61],"excitation":[62],"conditions":[63],"but":[64],"also":[65],"can":[66,83],"restrict":[67],"all":[68],"estimates":[69],"to":[70,122,130,145],"predetermined":[71],"bounds":[72],"during":[73],"whole":[75],"process":[77],"and":[78,98,113,153],"2)":[79],"controller":[82],"strictly":[84],"guarantee":[85],"user-defined":[87],"specifications":[89],"on":[90],"errors,":[92],"including":[93],"rate,":[95],"maximum":[96],"overshoot,":[97],"residual":[99],"set.":[100],"More":[101],"importantly,":[102],"it":[103],"has":[104],"optimizing":[106],"ability":[107],"tradeoff":[110],"between":[111],"cost.":[115],"A":[116],"state":[117],"transformation":[118],"method":[119],"employed":[121],"transform":[123],"constrained":[125],"optimal":[126,134,156],"an":[131],"unconstrained":[132],"stationary":[133],"problem.":[135],"Then,":[136],"critic-only":[138],"adaptive":[139],"dynamic":[140],"programming":[141],"algorithm":[142],"designed":[144],"approximate":[146],"solution":[148],"Hamilton\u2013Jacobi\u2013Bellman":[151],"equation":[152],"corresponding":[155],"policy.":[158],"Uniformly":[159],"ultimately":[160],"bounded":[161],"stability":[162,168],"guaranteed":[164],"via":[165],"Lyapunov-based":[167],"analysis.":[169],"Finally,":[170],"numerical":[171],"simulation":[172],"results":[173],"demonstrate":[174],"effectiveness":[176]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":35},{"year":2024,"cited_by_count":23},{"year":2023,"cited_by_count":27},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
