{"id":"https://openalex.org/W3043965146","doi":"https://doi.org/10.1177/0142331220940161","title":"Compensator-based approximate optimal control for affine nonlinear systems with input constraints and unmatched disturbances","display_name":"Compensator-based approximate optimal control for affine nonlinear systems with input constraints and unmatched disturbances","publication_year":2020,"publication_date":"2020-07-21","ids":{"openalex":"https://openalex.org/W3043965146","doi":"https://doi.org/10.1177/0142331220940161","mag":"3043965146"},"language":"en","primary_location":{"id":"doi:10.1177/0142331220940161","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331220940161","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","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/A5101896921","display_name":"Ke Lu","orcid":"https://orcid.org/0000-0002-4208-405X"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Lu","raw_affiliation_strings":["College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, P.R. China","Science and Technology on Rotorcraft Aeromechanics Laboratory, China Helicopter Research and Development Institute, Jingdezhen, Jiangxi, P.R. China"],"affiliations":[{"raw_affiliation_string":"College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, P.R. China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"Science and Technology on Rotorcraft Aeromechanics Laboratory, China Helicopter Research and Development Institute, Jingdezhen, Jiangxi, P.R. China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103115781","display_name":"Chunsheng Liu","orcid":"https://orcid.org/0000-0002-3784-662X"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chunsheng Liu","raw_affiliation_strings":["College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, P.R. China"],"affiliations":[{"raw_affiliation_string":"College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, P.R. China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100701139","display_name":"Jingliang Sun","orcid":"https://orcid.org/0000-0003-4137-3586"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]},{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"government","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingliang Sun","raw_affiliation_strings":["Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education China, Beijing, China","School of Aerospace Engineering, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education China, Beijing, China","institution_ids":["https://openalex.org/I1327237609"]},{"raw_affiliation_string":"School of Aerospace Engineering, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100781353","display_name":"Chunhua Li","orcid":"https://orcid.org/0000-0002-2103-8396"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chunhua Li","raw_affiliation_strings":["Science and Technology on Rotorcraft Aeromechanics Laboratory, China Helicopter Research and Development Institute, Jingdezhen, Jiangxi, P.R. China"],"affiliations":[{"raw_affiliation_string":"Science and Technology on Rotorcraft Aeromechanics Laboratory, China Helicopter Research and Development Institute, Jingdezhen, Jiangxi, P.R. China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101950907","display_name":"Chengcheng Ma","orcid":"https://orcid.org/0000-0002-9633-4704"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengcheng Ma","raw_affiliation_strings":["College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, P.R. China"],"affiliations":[{"raw_affiliation_string":"College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, P.R. China","institution_ids":["https://openalex.org/I9842412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5103115781"],"corresponding_institution_ids":["https://openalex.org/I9842412"],"apc_list":null,"apc_paid":null,"fwci":0.433,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68868555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"42","issue":"15","first_page":"3024","last_page":"3034"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9305999875068665,"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":0.8082214593887329},{"id":"https://openalex.org/keywords/hamilton\u2013jacobi\u2013bellman-equation","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","score":0.6936097145080566},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5606552958488464},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5156902074813843},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.47994425892829895},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.47836822271347046},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.47395893931388855},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4418776333332062},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.44022107124328613},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4292106628417969},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4264995753765106},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4117674231529236},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40173983573913574},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3942551612854004},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14205536246299744}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8082214593887329},{"id":"https://openalex.org/C196978813","wikidata":"https://www.wikidata.org/wiki/Q3302775","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","level":3,"score":0.6936097145080566},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5606552958488464},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5156902074813843},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.47994425892829895},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.47836822271347046},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.47395893931388855},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4418776333332062},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.44022107124328613},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4292106628417969},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4264995753765106},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4117674231529236},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40173983573913574},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3942551612854004},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14205536246299744},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0142331220940161","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331220940161","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7900000214576721}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1521250120","https://openalex.org/W1527736490","https://openalex.org/W1573503290","https://openalex.org/W1963544904","https://openalex.org/W1968908471","https://openalex.org/W1972809999","https://openalex.org/W1977237536","https://openalex.org/W1988523476","https://openalex.org/W1991119064","https://openalex.org/W2035003264","https://openalex.org/W2041069066","https://openalex.org/W2054083798","https://openalex.org/W2073591687","https://openalex.org/W2085194340","https://openalex.org/W2094666332","https://openalex.org/W2108286682","https://openalex.org/W2121570671","https://openalex.org/W2137092694","https://openalex.org/W2157175028","https://openalex.org/W2162701643","https://openalex.org/W2214816543","https://openalex.org/W2344560087","https://openalex.org/W2467991260","https://openalex.org/W2487171333","https://openalex.org/W2522467183","https://openalex.org/W2610969543","https://openalex.org/W2732790960","https://openalex.org/W2758863483","https://openalex.org/W2802027610","https://openalex.org/W2912259603","https://openalex.org/W3103456419"],"related_works":["https://openalex.org/W4239477580","https://openalex.org/W2160996072","https://openalex.org/W2766998270","https://openalex.org/W2187721800","https://openalex.org/W2545178307","https://openalex.org/W2076108964","https://openalex.org/W2912160361","https://openalex.org/W1632524629","https://openalex.org/W3144229288","https://openalex.org/W1971360108"],"abstract_inverted_index":{"This":[0],"paper":[1],"develops":[2],"a":[3,10],"novel":[4],"approximate":[5],"optimal":[6,55],"control":[7],"method":[8],"for":[9,80],"class":[11],"of":[12,20,53,91,97,124,128,135,144,163],"constrained":[13,54],"continuous-time":[14],"nonlinear":[15],"systems":[16],"in":[17,85],"the":[18,38,43,47,51,61,66,81,89,95,122,125,132,136,145,161,164],"presence":[19],"disturbances":[21,79],"via":[22],"adaptive":[23],"dynamic":[24,31],"programming":[25],"(ADP)":[26],"technique.":[27],"First,":[28],"an":[29,74,114],"auxiliary":[30,49],"compensator":[32],"is":[33,57,69,102,118,139],"introduced":[34],"to":[35,87,120,150],"deal":[36],"with":[37,46,78,105],"input":[39],"constraints.":[40],"Through":[41],"augmenting":[42],"original":[44],"system":[45,84,138,147],"designed":[48],"compensator,":[50],"design":[52],"controller":[56],"circumvented":[58],"by":[59,72,154],"stabilizing":[60],"equivalent":[62],"augmented":[63,82],"system.":[64],"Then,":[65],"cost":[67],"function":[68,76],"appropriately":[70],"redefined":[71],"introducing":[73],"additional":[75,115],"connected":[77],"nominal":[83],"order":[86],"compensate":[88,121],"effect":[90,123],"unmatched":[92],"disturbances.":[93],"Next,":[94],"solution":[96],"associated":[98],"Hamilton-Jacobi-Bellman":[99],"(HJB)":[100],"equation":[101],"solved":[103],"online":[104],"weight":[106],"adaptation":[107],"law":[108],"using":[109,155],"neural":[110],"networks":[111],"(NNs).":[112],"Furthermore,":[113],"robustifying":[116],"term":[117],"utilized":[119],"approximation":[126],"error":[127],"NNs,":[129],"and":[130],"thus":[131],"asymptotic":[133,152],"stability":[134],"closed-loop":[137,146],"guaranteed.":[140],"Finally,":[141],"all":[142],"signals":[143],"are":[148],"proved":[149],"be":[151],"convergence":[153],"Lyapunov":[156],"method.":[157],"Simulation":[158],"examples":[159],"demonstrate":[160],"effectiveness":[162],"proposed":[165],"scheme.":[166]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}