{"id":"https://openalex.org/W2762911482","doi":"https://doi.org/10.1109/tnnls.2017.2751018","title":"Adaptive Constrained Optimal Control Design for Data-Based Nonlinear Discrete-Time Systems With Critic-Only Structure","display_name":"Adaptive Constrained Optimal Control Design for Data-Based Nonlinear Discrete-Time Systems With Critic-Only Structure","publication_year":2017,"publication_date":"2017-10-03","ids":{"openalex":"https://openalex.org/W2762911482","doi":"https://doi.org/10.1109/tnnls.2017.2751018","mag":"2762911482","pmid":"https://pubmed.ncbi.nlm.nih.gov/28981435"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2017.2751018","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2017.2751018","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5012004938","display_name":"Biao Luo","orcid":"https://orcid.org/0000-0002-3353-2586"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210094879","display_name":"Shandong Institute of Automation","ror":"https://ror.org/00qdtba35","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210094879","https://openalex.org/I4210142748"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Biao Luo","raw_affiliation_strings":["State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-3353-2586","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210094879"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004057129","display_name":"Derong Liu","orcid":"https://orcid.org/0000-0003-3715-4778"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Derong Liu","raw_affiliation_strings":["School of Automation, Guangdong University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-3715-4778","affiliations":[{"raw_affiliation_string":"School of Automation, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000266144","display_name":"Huai\u2010Ning Wu","orcid":"https://orcid.org/0000-0002-4366-5147"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huai-Ning Wu","raw_affiliation_strings":["Science and Technology on Aircraft Control Laboratory, Beihang University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Science and Technology on Aircraft Control Laboratory, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":9.5137,"has_fulltext":false,"cited_by_count":134,"citation_normalized_percentile":{"value":0.98553371,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"29","issue":"6","first_page":"2099","last_page":"2111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":1.0,"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":1.0,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9599999785423279,"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"}},{"id":"https://openalex.org/T14413","display_name":"Advanced Technologies in Various Fields","score":0.9437000155448914,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.7372745275497437},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5790724158287048},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5496675372123718},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.5237650275230408},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5184471011161804},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4904777705669403},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.47004738450050354},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.46792152523994446},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.4519791007041931},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.435286283493042},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42309439182281494},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3219049274921417},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2536235451698303},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13255497813224792}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7372745275497437},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5790724158287048},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5496675372123718},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.5237650275230408},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5184471011161804},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4904777705669403},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.47004738450050354},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.46792152523994446},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.4519791007041931},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.435286283493042},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42309439182281494},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3219049274921417},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2536235451698303},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13255497813224792},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2017.2751018","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2017.2751018","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:28981435","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28981435","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3283848977","display_name":null,"funder_award_id":"61473011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G560465369","display_name":null,"funder_award_id":"U1501251","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5871946117","display_name":null,"funder_award_id":"61503377","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7163010157","display_name":"\u57fa\u4e8e\u6570\u636e\u7684\u5efa\u7b51\u7fa4\u53ca\u5206\u5e03\u5f0f\u80fd\u6e90\u7cfb\u7edf\u4e00\u4f53\u5316\u5efa\u6a21\u4e0e\u81ea\u5b66\u4e60\u4f18\u5316\u63a7\u5236","funder_award_id":"61533017","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8985226874","display_name":null,"funder_award_id":"61625302","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W1531602929","https://openalex.org/W1614417283","https://openalex.org/W1863485266","https://openalex.org/W1912694276","https://openalex.org/W1969959431","https://openalex.org/W1976956127","https://openalex.org/W1977671496","https://openalex.org/W1978732706","https://openalex.org/W1978921618","https://openalex.org/W1980801308","https://openalex.org/W1983089547","https://openalex.org/W1986864433","https://openalex.org/W1987657756","https://openalex.org/W1991119064","https://openalex.org/W2002260889","https://openalex.org/W2011310556","https://openalex.org/W2012451615","https://openalex.org/W2013895638","https://openalex.org/W2017570421","https://openalex.org/W2019478222","https://openalex.org/W2020047580","https://openalex.org/W2030038728","https://openalex.org/W2032704188","https://openalex.org/W2033030672","https://openalex.org/W2035018355","https://openalex.org/W2039417685","https://openalex.org/W2039617089","https://openalex.org/W2041626001","https://openalex.org/W2045283962","https://openalex.org/W2048687352","https://openalex.org/W2085194340","https://openalex.org/W2086808696","https://openalex.org/W2086977346","https://openalex.org/W2089904313","https://openalex.org/W2093831009","https://openalex.org/W2098035803","https://openalex.org/W2098432798","https://openalex.org/W2107674817","https://openalex.org/W2108286682","https://openalex.org/W2111980775","https://openalex.org/W2117661488","https://openalex.org/W2137092694","https://openalex.org/W2138131694","https://openalex.org/W2145830976","https://openalex.org/W2150841368","https://openalex.org/W2151966330","https://openalex.org/W2159543578","https://openalex.org/W2173749656","https://openalex.org/W2189990206","https://openalex.org/W2320262435","https://openalex.org/W2333120204","https://openalex.org/W2340995602","https://openalex.org/W2343090116","https://openalex.org/W2345038028","https://openalex.org/W2462102501","https://openalex.org/W2473265833","https://openalex.org/W2475651303","https://openalex.org/W2480536132","https://openalex.org/W2550394442","https://openalex.org/W2592507398","https://openalex.org/W2614992370","https://openalex.org/W2767784613","https://openalex.org/W2963393268","https://openalex.org/W4245176833","https://openalex.org/W4297816944"],"related_works":["https://openalex.org/W4306904969","https://openalex.org/W2138720691","https://openalex.org/W4362501864","https://openalex.org/W4380318855","https://openalex.org/W3084456289","https://openalex.org/W2024136090","https://openalex.org/W4391331176","https://openalex.org/W1991810297","https://openalex.org/W2032253950","https://openalex.org/W1819950161"],"abstract_inverted_index":{"Reinforcement":[0],"learning":[1],"has":[2,31],"proved":[3],"to":[4,9,110,129,173,188],"be":[5],"a":[6,69],"powerful":[7],"tool":[8],"solve":[10,37],"optimal":[11,23,42,105,113,132,138,193],"control":[12,24,43,63,106,114,139,208],"problems":[13],"over":[14],"the":[15,20,49,55,60,66,91,98,103,118,124,131,135,145,158,161,175,182,190,197,202,205],"past":[16],"few":[17],"years.":[18],"However,":[19],"data-based":[21,136],"constrained":[22,62,104,192],"problem":[25,107],"of":[26,59,68,134,144,204],"nonaffine":[27],"nonlinear":[28,80],"discrete-time":[29],"systems":[30],"rarely":[32],"been":[33],"studied":[34],"yet.":[35],"To":[36,87,156],"this":[38,89],"problem,":[39,90],"an":[40,111,151],"adaptive":[41,191,207],"approach":[44],"is":[45,83,94,108,127,164,171,186,210],"developed":[46,206],"by":[47],"using":[48],"value":[50,120],"iteration-based":[51],"Q-learning":[52],"(VIQL)":[53],"with":[54,97,150,215],"critic-only":[56,162,183],"structure.":[57],"Most":[58],"existing":[61],"methods":[64],"require":[65],"use":[67],"certain":[70],"performance":[71,100],"index":[72],"and":[73],"only":[74,167],"suit":[75],"for":[76],"linear":[77],"or":[78],"affine":[79],"systems,":[81],"which":[82],"unreasonable":[84],"in":[85],"practice.":[86],"overcome":[88],"system":[92],"transformation":[93],"first":[95],"introduced":[96],"general":[99],"index.":[101],"Then,":[102],"converted":[109],"unconstrained":[112,137],"problem.":[115,140],"By":[116],"introducing":[117],"action-state":[119],"function,":[121],"i.e.,":[122],"Q-function,":[123],"VIQL":[125,146,159,184],"algorithm":[126,147],"proposed":[128],"learn":[130],"Q-function":[133,179],"The":[141,177],"convergence":[142],"results":[143],"are":[148],"established":[149],"easy-to-realize":[152],"initial":[153],"condition":[154],".":[155],"implement":[157],"algorithm,":[160],"structure":[163],"developed,":[165],"where":[166],"one":[168],"neural":[169],"network":[170],"required":[172],"approximate":[174],"Q-function.":[176],"converged":[178],"obtained":[180],"from":[181],"method":[185,209],"employed":[187],"design":[189],"controller":[194],"based":[195],"on":[196,212],"gradient":[198],"descent":[199],"scheme.":[200],"Finally,":[201],"effectiveness":[203],"tested":[211],"three":[213],"examples":[214],"computer":[216],"simulation.":[217]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":25},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":2}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}
