{"id":"https://openalex.org/W4387448566","doi":"https://doi.org/10.1109/tcyb.2023.3312543","title":"Robust Optimal Parallel Tracking Control Based on Adaptive Dynamic Programming","display_name":"Robust Optimal Parallel Tracking Control Based on Adaptive Dynamic Programming","publication_year":2023,"publication_date":"2023-10-09","ids":{"openalex":"https://openalex.org/W4387448566","doi":"https://doi.org/10.1109/tcyb.2023.3312543","pmid":"https://pubmed.ncbi.nlm.nih.gov/37812552"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2023.3312543","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2023.3312543","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","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/A5087825639","display_name":"Qinglai Wei","orcid":"https://orcid.org/0000-0001-7002-9800"},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]},{"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/I4210100255","display_name":"Beijing Academy of Artificial Intelligence","ror":"https://ror.org/016a74861","country_code":"CN","type":"other","lineage":["https://openalex.org/I4210100255"]},{"id":"https://openalex.org/I4210112150","display_name":"Institute of Automation","ror":"https://ror.org/022c3hy66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN","MO"],"is_corresponding":false,"raw_author_name":"Qinglai Wei","raw_affiliation_strings":["Institute of Systems Engineering, Macau University of Science and Technology, Macau, China","School of Artificial Intelligence, University of Chinese Academy of Sciences, Beijing, China","Institute of Automation, State Key Laboratory of Multimodal Artificial Intelligence Systems, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-7002-9800","affiliations":[{"raw_affiliation_string":"Institute of Systems Engineering, Macau University of Science and Technology, Macau, China","institution_ids":["https://openalex.org/I111950717"]},{"raw_affiliation_string":"School of Artificial Intelligence, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210100255","https://openalex.org/I4210165038"]},{"raw_affiliation_string":"Institute of Automation, State Key Laboratory of Multimodal Artificial Intelligence Systems, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102944089","display_name":"Shanshan Jiao","orcid":"https://orcid.org/0009-0001-8584-9155"},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]},{"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/I4210100255","display_name":"Beijing Academy of Artificial Intelligence","ror":"https://ror.org/016a74861","country_code":"CN","type":"other","lineage":["https://openalex.org/I4210100255"]},{"id":"https://openalex.org/I4210112150","display_name":"Institute of Automation","ror":"https://ror.org/022c3hy66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN","MO"],"is_corresponding":false,"raw_author_name":"Shanshan Jiao","raw_affiliation_strings":["Institute of Systems Engineering, Macau University of Science and Technology, Macau, China","Institute of Automation, State Key Laboratory of Multimodal Artificial Intelligence Systems, Chinese Academy of Sciences, Beijing, China","School of Artificial Intelligence, University of Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0001-8584-9155","affiliations":[{"raw_affiliation_string":"Institute of Systems Engineering, Macau University of Science and Technology, Macau, China","institution_ids":["https://openalex.org/I111950717"]},{"raw_affiliation_string":"Institute of Automation, State Key Laboratory of Multimodal Artificial Intelligence Systems, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]},{"raw_affiliation_string":"School of Artificial Intelligence, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210100255","https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113600509","display_name":"Fei\u2013Yue Wang","orcid":"https://orcid.org/0000-0001-9185-3989"},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]},{"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"]},{"id":"https://openalex.org/I4210112270","display_name":"Qingdao Academy of Intelligent Industries","ror":"https://ror.org/02a0rnh86","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210112270"]}],"countries":["CN","MO"],"is_corresponding":false,"raw_author_name":"Fei-Yue Wang","raw_affiliation_strings":["Institute of Systems Engineering, Macau University of Science and Technology, Macau, China","Institute of Automation, State Key Laboratory of Management and Control for Complex Systems, Chinese Academy of Sciences, Beijing, China","Parallel Intelligence Innovation Center, Qingdao Academy of Intelligent Industries, Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0001-9185-3989","affiliations":[{"raw_affiliation_string":"Institute of Systems Engineering, Macau University of Science and Technology, Macau, China","institution_ids":["https://openalex.org/I111950717"]},{"raw_affiliation_string":"Institute of Automation, State Key Laboratory of Management and Control for Complex Systems, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210094879"]},{"raw_affiliation_string":"Parallel Intelligence Innovation Center, Qingdao Academy of Intelligent Industries, Qingdao, China","institution_ids":["https://openalex.org/I4210112270"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083249355","display_name":"Qi Dong","orcid":"https://orcid.org/0000-0002-1215-7588"},"institutions":[{"id":"https://openalex.org/I4210130112","display_name":"China Academy of Information and Communications Technology","ror":"https://ror.org/038dte259","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210130112","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Dong","raw_affiliation_strings":["Group of Electronics and Information, China Academy of Electronics and Information Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Group of Electronics and Information, China Academy of Electronics and Information Technology, Beijing, China","institution_ids":["https://openalex.org/I4210130112"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.6055,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.959498,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"54","issue":"7","first_page":"4308","last_page":"4321"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9955000281333923,"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":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hamilton\u2013jacobi\u2013bellman-equation","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","score":0.8723767399787903},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.7305679321289062},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.7279309034347534},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6264206171035767},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5947299003601074},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5460692644119263},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4892466068267822},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.47526949644088745},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4750525951385498},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.467279314994812},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4659811854362488},{"id":"https://openalex.org/keywords/state-vector","display_name":"State vector","score":0.4111676812171936},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3544723391532898},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2480795681476593},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13634899258613586},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1307418942451477}],"concepts":[{"id":"https://openalex.org/C196978813","wikidata":"https://www.wikidata.org/wiki/Q3302775","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","level":3,"score":0.8723767399787903},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.7305679321289062},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7279309034347534},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6264206171035767},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5947299003601074},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5460692644119263},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4892466068267822},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.47526949644088745},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4750525951385498},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.467279314994812},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4659811854362488},{"id":"https://openalex.org/C2777798563","wikidata":"https://www.wikidata.org/wiki/Q7603916","display_name":"State vector","level":2,"score":0.4111676812171936},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3544723391532898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2480795681476593},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13634899258613586},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1307418942451477},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2023.3312543","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2023.3312543","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:37812552","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37812552","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 cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7699999809265137}],"awards":[{"id":"https://openalex.org/G185136503","display_name":null,"funder_award_id":"0015/2020/AMJ","funder_id":"https://openalex.org/F4320321655","funder_display_name":"Science and Technology Development Fund"},{"id":"https://openalex.org/G1993283693","display_name":null,"funder_award_id":"2021YFE0206100","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G5938002141","display_name":null,"funder_award_id":"62073321","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6281094892","display_name":null,"funder_award_id":"FDCT-22-009-MISE","funder_id":"https://openalex.org/F4320321655","funder_display_name":"Science and Technology Development Fund"},{"id":"https://openalex.org/G6855475770","display_name":null,"funder_award_id":"0060/2021/A2","funder_id":"https://openalex.org/F4320321655","funder_display_name":"Science and Technology Development Fund"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321655","display_name":"Science and Technology Development Fund","ror":"https://ror.org/044vr6g03"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2921905705","https://openalex.org/W118270679","https://openalex.org/W2160996072","https://openalex.org/W2912160361","https://openalex.org/W2052286527","https://openalex.org/W1632524629","https://openalex.org/W3144229288","https://openalex.org/W4239477580","https://openalex.org/W4255265352","https://openalex.org/W2545178307"],"abstract_inverted_index":{"This":[0],"article":[1,55],"focuses":[2],"on":[3],"a":[4,67],"novel":[5,68],"robust":[6,118],"optimal":[7,48,92,119],"parallel":[8,49,69],"tracking":[9,50],"control":[10,51,70,77,93,120],"method":[11,121],"for":[12,95],"continuous-time":[13],"(CT)":[14],"nonlinear":[15,31],"systems":[16],"subject":[17],"to":[18,114],"uncertainties.":[19],"First,":[20],"the":[21,26,29,44,47,61,74,85,88,91,96,100,109,116,131],"designed":[22],"virtual":[23,76],"controller":[24],"facilitates":[25],"transformation":[27],"of":[28,46,63,90],"original":[30],"system":[32,36,71,98],"into":[33,59],"an":[34,38,80],"affine":[35],"with":[37],"augmented":[39],"state":[40],"vector,":[41],"which":[42],"promotes":[43],"introduction":[45],"problem.":[52],"Then,":[53],"this":[54],"generates":[56],"fresh":[57],"insight":[58],"counteracting":[60],"effects":[62],"uncertainty":[64],"by":[65],"developing":[66],"that":[72],"invokes":[73],"formulated":[75],"law":[78],"and":[79,99],"auxiliary":[81],"variable":[82],"obtained":[83],"from":[84],"relationship":[86],"between":[87],"solutions":[89],"problems":[94],"uncertain":[97],"nominal":[101],"one.":[102],"Next,":[103],"critic":[104],"neural":[105],"networks":[106],"(NNs)":[107],"approximate":[108],"Hamilton-Jacobi-Bellman":[110],"(HJB)":[111],"equations'":[112],"solution":[113],"implement":[115],"proposed":[117,132],"via":[122],"adaptive":[123],"dynamic":[124],"programming":[125],"(ADP).":[126],"Finally,":[127],"simulation":[128],"experiments":[129],"demonstrate":[130],"method's":[133],"remarkable":[134],"effectiveness.":[135]},"counts_by_year":[{"year":2026,"cited_by_count":11},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":9}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}