{"id":"https://openalex.org/W2397394694","doi":"https://doi.org/10.1109/tnnls.2015.2451535","title":"Near-Optimal Controller for Nonlinear Continuous-Time Systems With Unknown Dynamics Using Policy Iteration","display_name":"Near-Optimal Controller for Nonlinear Continuous-Time Systems With Unknown Dynamics Using Policy Iteration","publication_year":2015,"publication_date":"2015-07-31","ids":{"openalex":"https://openalex.org/W2397394694","doi":"https://doi.org/10.1109/tnnls.2015.2451535","mag":"2397394694","pmid":"https://pubmed.ncbi.nlm.nih.gov/26259150"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2015.2451535","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2015.2451535","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/A5001713925","display_name":"Samrat Dutta","orcid":"https://orcid.org/0000-0002-0825-8589"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Samrat Dutta","raw_affiliation_strings":["Department of Electrical Engineering, IIT Kanpur, Kanpur, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, IIT Kanpur, Kanpur, India","institution_ids":["https://openalex.org/I94234084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006320257","display_name":"Prem Kumar Patchaikani","orcid":null},"institutions":[{"id":"https://openalex.org/I4210142581","display_name":"General Electric (India)","ror":"https://ror.org/04dd9ss52","country_code":"IN","type":"company","lineage":["https://openalex.org/I1332737386","https://openalex.org/I4210142581"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Prem Kumar Patchaikani","raw_affiliation_strings":["GE India Technology Center, Bengaluru, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GE India Technology Center, Bengaluru, India","institution_ids":["https://openalex.org/I4210142581"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065056581","display_name":"Laxmidhar Behera","orcid":"https://orcid.org/0000-0003-1879-5609"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Laxmidhar Behera","raw_affiliation_strings":["Department of Electrical Engineering, IIT Kanpur, Kanpur, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, IIT Kanpur, Kanpur, India","institution_ids":["https://openalex.org/I94234084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.8821,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.94122454,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"27","issue":"7","first_page":"1537","last_page":"1549"},"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/T12277","display_name":"Frequency Control in Power Systems","score":0.9854999780654907,"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":0.9754999876022339,"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/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.5313103199005127},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5156932473182678},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5097844004631042},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4988722801208496},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.46326687932014465},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4543040692806244},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44403570890426636},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4254833161830902},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4178842604160309},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.4107625186443329},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1329973042011261},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1162266731262207}],"concepts":[{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.5313103199005127},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5156932473182678},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5097844004631042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4988722801208496},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.46326687932014465},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4543040692806244},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44403570890426636},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4254833161830902},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4178842604160309},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.4107625186443329},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1329973042011261},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1162266731262207},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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.2015.2451535","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2015.2451535","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:26259150","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26259150","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":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1012494","https://openalex.org/W562026345","https://openalex.org/W1977277767","https://openalex.org/W1983089547","https://openalex.org/W1986864433","https://openalex.org/W1987288064","https://openalex.org/W1997603681","https://openalex.org/W1999213690","https://openalex.org/W2004358784","https://openalex.org/W2010152647","https://openalex.org/W2011834513","https://openalex.org/W2011961682","https://openalex.org/W2017570421","https://openalex.org/W2023465281","https://openalex.org/W2045585394","https://openalex.org/W2048687352","https://openalex.org/W2050838777","https://openalex.org/W2060605484","https://openalex.org/W2060686658","https://openalex.org/W2063123975","https://openalex.org/W2067603665","https://openalex.org/W2078103910","https://openalex.org/W2098452332","https://openalex.org/W2104128408","https://openalex.org/W2104908615","https://openalex.org/W2120249358","https://openalex.org/W2123154005","https://openalex.org/W2127018262","https://openalex.org/W2127348787","https://openalex.org/W2131030156","https://openalex.org/W2132258057","https://openalex.org/W2138131694","https://openalex.org/W2161639050","https://openalex.org/W2167322332","https://openalex.org/W3213472335","https://openalex.org/W4213345774","https://openalex.org/W6804409665"],"related_works":["https://openalex.org/W4296209631","https://openalex.org/W4306904969","https://openalex.org/W2561617217","https://openalex.org/W2138720691","https://openalex.org/W4362501864","https://openalex.org/W4380318855","https://openalex.org/W2031695474","https://openalex.org/W2024136090","https://openalex.org/W2586732548","https://openalex.org/W3049728571"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,15,42,97,133,244,266,285],"single-network":[4],"adaptive":[5],"critic-based":[6],"controller":[7],"for":[8,230,248,284],"continuous-time":[9],"systems":[10],"with":[11,35,139],"unknown":[12,25],"dynamics":[13,26],"in":[14,60,63,125,191,218,254,281],"policy":[16,123,253],"iteration":[17,62,114],"(PI)":[18],"framework.":[19],"It":[20,72],"is":[21,73,104,147,195,205,212,228,260],"assumed":[22],"that":[23,75,120,272],"the":[24,31,47,58,67,70,76,81,87,90,94,110,122,126,148,162,168,180,187,192,198,206,213,219,236,249,255,273],"can":[27],"be":[28],"estimated":[29],"using":[30],"Takagi-Sugeno-Kang":[32],"fuzzy":[33,207,216],"model":[34],"arbitrary":[36],"precision.":[37],"The":[38,141,239,258],"successful":[39],"implementation":[40],"of":[41,50,89,129,150,164,170,182,200,215,226],"PI":[43,256],"scheme":[44,103],"depends":[45],"on":[46,179,186,265],"effective":[48],"learning":[49],"critic":[51,68,77,99,111,142,183,278],"network":[52,100,184,279],"parameters.":[53],"Network":[54],"parameters":[55,185,233,280],"must":[56],"stabilize":[57],"system":[59],"each":[61],"addition":[64],"to":[65,80,86,153,167,197,246],"approximating":[66],"and":[69,210],"cost.":[71],"found":[74],"updates":[78],"according":[79],"Hamilton-Jacobi-Bellman":[82],"formulation":[83],"sometimes":[84],"lead":[85],"instability":[88],"closed-loop":[91],"systems.":[92],"In":[93],"proposed":[95,193,240],"work,":[96],"novel":[98],"parameter":[101],"update":[102],"adopted,":[105],"which":[106,177],"not":[107],"only":[108],"approximates":[109],"at":[112],"current":[113],"but":[115],"also":[116,242],"provides":[117,243],"feasible":[118],"solutions":[119],"keep":[121],"stable":[124,232,251,277],"next":[127],"step":[128],"training":[130,237],"by":[131],"combining":[132],"Lyapunov-based":[134],"linear":[135],"matrix":[136],"inequalities":[137],"approach":[138],"PI.":[140],"modeling":[143],"technique":[144],"presented":[145],"here":[146],"first":[149],"its":[151],"kind":[152],"address":[154],"this":[155],"issue.":[156],"Though":[157],"multiple":[158],"literature":[159],"exists":[160,174],"discussing":[161],"convergence":[163],"PI,":[165],"however,":[166],"best":[169],"our":[171],"knowledge,":[172],"there":[173],"no":[175],"literature,":[176],"focuses":[178],"effect":[181],"convergence.":[188],"Computational":[189],"complexity":[190],"algorithm":[194,224,241,259,274],"reduced":[196],"order":[199],"(Fz)(n-1)":[201],",":[202],"where":[203],"n":[204],"state":[208],"dimensionality":[209],"Fz":[211],"number":[214],"zones":[217],"states":[220],"space.":[221],"A":[222],"genetic":[223],"toolbox":[225],"MATLAB":[227],"used":[229],"searching":[231],"while":[234],"minimizing":[235],"error.":[238],"way":[245],"solve":[247],"initial":[250],"control":[252],"scheme.":[257],"validated":[261],"through":[262],"real-time":[263],"experiment":[264],"commercial":[267],"robotic":[268],"manipulator.":[269],"Results":[270],"show":[271],"successfully":[275],"finds":[276],"real":[282],"time":[283],"highly":[286],"nonlinear":[287],"system.":[288]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
