{"id":"https://openalex.org/W2884096864","doi":"https://doi.org/10.1109/access.2018.2859263","title":"Observer-Based Adaptive Control of Uncertain Nonlinear Systems Via Neural Networks","display_name":"Observer-Based Adaptive Control of Uncertain Nonlinear Systems Via Neural Networks","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2884096864","doi":"https://doi.org/10.1109/access.2018.2859263","mag":"2884096864"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2859263","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2859263","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2018.2859263","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057898837","display_name":"Chaoxu Mu","orcid":"https://orcid.org/0000-0003-1055-9513"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chaoxu Mu","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0003-1055-9513","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076037753","display_name":"Yong Zhang","orcid":"https://orcid.org/0000-0003-4385-712X"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Zhang","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0003-4385-712X","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040414354","display_name":"Ke Wang","orcid":"https://orcid.org/0000-0002-8306-1663"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Wang","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057898837"],"corresponding_institution_ids":["https://openalex.org/I162868743"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.5045,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.84562826,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"6","issue":null,"first_page":"42675","last_page":"42686"},"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/T10675","display_name":"Mechanical Circulatory Support Devices","score":0.9429000020027161,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T12277","display_name":"Frequency Control in Power Systems","score":0.9046000242233276,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hamilton\u2013jacobi\u2013bellman-equation","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","score":0.9582619667053223},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7063918113708496},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6539491415023804},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6236605048179626},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5874603390693665},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5375231504440308},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.5177549719810486},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.48026394844055176},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46967726945877075},{"id":"https://openalex.org/keywords/state-variable","display_name":"State variable","score":0.45831602811813354},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4493536949157715},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.44490909576416016},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.42954832315444946},{"id":"https://openalex.org/keywords/state-observer","display_name":"State observer","score":0.42223381996154785},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4151139557361603},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4119282364845276},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1728581190109253},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10192683339118958}],"concepts":[{"id":"https://openalex.org/C196978813","wikidata":"https://www.wikidata.org/wiki/Q3302775","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","level":3,"score":0.9582619667053223},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7063918113708496},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6539491415023804},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6236605048179626},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5874603390693665},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5375231504440308},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.5177549719810486},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.48026394844055176},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46967726945877075},{"id":"https://openalex.org/C129537906","wikidata":"https://www.wikidata.org/wiki/Q7603913","display_name":"State variable","level":2,"score":0.45831602811813354},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4493536949157715},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.44490909576416016},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.42954832315444946},{"id":"https://openalex.org/C3031470","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State observer","level":3,"score":0.42223381996154785},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4151139557361603},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4119282364845276},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1728581190109253},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10192683339118958},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2859263","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2859263","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f019fc7b45064ad0adccc2a68dc67c45","is_oa":true,"landing_page_url":"https://doaj.org/article/f019fc7b45064ad0adccc2a68dc67c45","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 6, Pp 42675-42686 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2859263","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2859263","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3531631904","display_name":null,"funder_award_id":"61533008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4635902267","display_name":null,"funder_award_id":"61520106009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5804676463","display_name":null,"funder_award_id":"61773284","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":42,"referenced_works":["https://openalex.org/W1461376240","https://openalex.org/W1527736490","https://openalex.org/W1584101032","https://openalex.org/W1970127232","https://openalex.org/W1972941473","https://openalex.org/W1983523797","https://openalex.org/W1987657756","https://openalex.org/W1988688219","https://openalex.org/W1997603681","https://openalex.org/W2014558518","https://openalex.org/W2017570421","https://openalex.org/W2020688906","https://openalex.org/W2022487219","https://openalex.org/W2027197837","https://openalex.org/W2047797820","https://openalex.org/W2057491769","https://openalex.org/W2081514674","https://openalex.org/W2089684487","https://openalex.org/W2105979811","https://openalex.org/W2108286682","https://openalex.org/W2124829859","https://openalex.org/W2131030156","https://openalex.org/W2137092694","https://openalex.org/W2148439597","https://openalex.org/W2153890087","https://openalex.org/W2165501837","https://openalex.org/W2183137222","https://openalex.org/W2253274025","https://openalex.org/W2339745223","https://openalex.org/W2343912161","https://openalex.org/W2345052385","https://openalex.org/W2418767125","https://openalex.org/W2518470966","https://openalex.org/W2595897327","https://openalex.org/W2615464946","https://openalex.org/W2727279496","https://openalex.org/W2752658693","https://openalex.org/W2752879615","https://openalex.org/W2766072406","https://openalex.org/W3213472335","https://openalex.org/W4285719527","https://openalex.org/W6804409665"],"related_works":["https://openalex.org/W4239477580","https://openalex.org/W4255265352","https://openalex.org/W2921905705","https://openalex.org/W1632524629","https://openalex.org/W4292330635","https://openalex.org/W2902017027","https://openalex.org/W2766998270","https://openalex.org/W2950982235","https://openalex.org/W2052286527","https://openalex.org/W4306892756"],"abstract_inverted_index":{"In":[0,125],"this":[1],"paper,":[2],"a":[3,11,94],"novel":[4],"observer-based":[5,72],"control":[6,34,54,114],"strategy":[7],"is":[8,41,59,98,134],"proposed":[9],"for":[10,35,87],"class":[12],"of":[13,28,111,129],"uncertain":[14,37,90],"continuous-time":[15,38],"nonlinear":[16,29,39,91],"systems":[17,40],"based":[18,136],"on":[19,137],"the":[20,26,31,46,53,56,68,78,82,88,102,108,112,122,127,130,138],"Hamilton-Jacobi-Bellman":[21],"(HJB)":[22],"equation.":[23,124],"Due":[24],"to":[25,61,100],"complexity":[27],"systems,":[30,92],"approximately":[32],"optimal":[33,103,113],"affine":[36],"pursued.":[42],"Considering":[43],"that":[44],"only":[45],"output":[47,69],"variables":[48],"can":[49,76,116],"be":[50,117],"measured":[51],"in":[52],"practice,":[55],"state":[57],"observer":[58],"designed":[60],"reconstruct":[62],"all":[63],"system":[64,133],"states":[65],"by":[66],"using":[67],"variables.":[70],"The":[71],"policy":[73,115],"iteration":[74],"algorithm":[75],"solve":[77],"HJB":[79,123],"equation":[80],"within":[81],"adaptive":[83],"dynamic":[84],"programming":[85],"framework":[86],"unknown-state":[89],"where":[93],"critic":[95],"neural":[96],"network":[97],"constructed":[99],"approximate":[101,109],"cost":[104],"function,":[105],"and":[106],"then,":[107],"expression":[110],"directly":[118],"derived":[119],"from":[120],"solving":[121],"addition,":[126],"stability":[128],"whole":[131],"closed-loop":[132],"provided":[135],"Lyapunov":[139],"analysis.":[140]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
