{"id":"https://openalex.org/W2887972911","doi":"https://doi.org/10.1109/tsmc.2018.2861003","title":"Adaptive Neural Network Control for a Class of Nonlinear Systems With Unknown Control Direction","display_name":"Adaptive Neural Network Control for a Class of Nonlinear Systems With Unknown Control Direction","publication_year":2018,"publication_date":"2018-08-10","ids":{"openalex":"https://openalex.org/W2887972911","doi":"https://doi.org/10.1109/tsmc.2018.2861003","mag":"2887972911"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2018.2861003","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2018.2861003","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","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/A5100781259","display_name":"Chenliang Wang","orcid":"https://orcid.org/0000-0002-1087-6562"},"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":"Chenliang Wang","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-1087-6562","affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100344279","display_name":"Lei Guo","orcid":"https://orcid.org/0000-0002-3061-2337"},"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":"Lei Guo","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-3061-2337","affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100344158","display_name":"Changyun Wen","orcid":"https://orcid.org/0000-0001-9530-360X"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Changyun Wen","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0001-9530-360X","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033355107","display_name":"Qinglei Hu","orcid":"https://orcid.org/0000-0002-5563-310X"},"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":"Qinglei Hu","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-5563-310X","affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066730411","display_name":"Jianzhong Qiao","orcid":"https://orcid.org/0000-0003-4891-0612"},"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":"Jianzhong Qiao","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-4891-0612","affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6435,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.84680691,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"50","issue":"11","first_page":"4708","last_page":"4718"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998000264167786,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.996399998664856,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9865999817848206,"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":0.7209526896476746},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6471623778343201},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6103198528289795},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.5884843468666077},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5878710150718689},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5814439654350281},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5797680616378784},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5252313613891602},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.5177566409111023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49640709161758423},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4461211860179901},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4441480040550232},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44270873069763184},{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.4266383647918701},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3253800868988037},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.223087340593338},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12625735998153687}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7209526896476746},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6471623778343201},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6103198528289795},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.5884843468666077},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5878710150718689},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5814439654350281},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5797680616378784},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5252313613891602},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5177566409111023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49640709161758423},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4461211860179901},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4441480040550232},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44270873069763184},{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.4266383647918701},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3253800868988037},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.223087340593338},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12625735998153687},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2018.2861003","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2018.2861003","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G155496938","display_name":null,"funder_award_id":"61673036","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7090563120","display_name":null,"funder_award_id":"4182036","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"},{"id":"https://openalex.org/G7269827856","display_name":null,"funder_award_id":"61633003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8517997205","display_name":null,"funder_award_id":"61661136007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8529504430","display_name":null,"funder_award_id":"61603021","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"},{"id":"https://openalex.org/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W648594167","https://openalex.org/W1572326640","https://openalex.org/W1966221652","https://openalex.org/W1971423657","https://openalex.org/W1980491877","https://openalex.org/W2039683272","https://openalex.org/W2041861069","https://openalex.org/W2074037090","https://openalex.org/W2090167557","https://openalex.org/W2116444233","https://openalex.org/W2121570671","https://openalex.org/W2122836694","https://openalex.org/W2124359248","https://openalex.org/W2142430251","https://openalex.org/W2142572589","https://openalex.org/W2150535417","https://openalex.org/W2171897082","https://openalex.org/W2240923019","https://openalex.org/W2342952057","https://openalex.org/W2418767125","https://openalex.org/W2428098056","https://openalex.org/W2471350850","https://openalex.org/W2486660817","https://openalex.org/W2514514867","https://openalex.org/W2529405793","https://openalex.org/W2549092026","https://openalex.org/W2590369426","https://openalex.org/W2591187540","https://openalex.org/W2592752239","https://openalex.org/W2609044486","https://openalex.org/W2733294185","https://openalex.org/W2770878849","https://openalex.org/W2790630269","https://openalex.org/W2799550132","https://openalex.org/W6660321002"],"related_works":["https://openalex.org/W1847613412","https://openalex.org/W2376449068","https://openalex.org/W4382203996","https://openalex.org/W4365392829","https://openalex.org/W2100998971","https://openalex.org/W2002811656","https://openalex.org/W2990087644","https://openalex.org/W2104457306","https://openalex.org/W3164341681","https://openalex.org/W2517897957"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,14,79,87,100,121],"novel":[4],"adaptive":[5],"neural":[6],"network":[7],"(NN)":[8],"control":[9,21,37,41],"scheme":[10],"is":[11,42,67],"proposed":[12,133],"for":[13],"class":[15],"of":[16,73,99,109,131],"nonlinear":[17],"systems":[18],"with":[19,96],"unknown":[20,36,75],"direction.":[22],"By":[23],"introducing":[24,61],"some":[25],"differentiable":[26],"functions":[27],"and":[28,45,112,115],"high-order":[29],"Lyapunov":[30],"functions,":[31],"the":[32,71,74,90,97,107,117,129,132],"obstacle":[33],"caused":[34],"by":[35,60],"direction":[38],"in":[39],"NN":[40,91],"successfully":[43],"circumvented":[44],"all":[46],"closed-loop":[47],"signals":[48],"are":[49],"shown":[50],"to":[51,56],"be":[52,84],"uniformly":[53],"bounded":[54],"up":[55],"infinite":[57],"time.":[58],"Meanwhile,":[59],"an":[62],"error":[63,119],"transformation":[64],"technique,":[65],"it":[66],"rigorously":[68],"proved":[69],"that":[70],"argument":[72],"nonlinearities":[76],"remains":[77],"within":[78],"compact":[80],"set":[81],"which":[82],"can":[83],"explicitly":[85],"calculated":[86],"priori,":[88],"making":[89],"approximation":[92,110],"always":[93],"valid.":[94],"Moreover,":[95],"aid":[98],"bound":[101],"estimation":[102],"approach,":[103],"we":[104],"effectively":[105],"compress":[106],"impact":[108],"errors":[111],"external":[113],"disturbances":[114],"steer":[116],"tracking":[118],"into":[120],"predefined":[122],"small":[123],"residual":[124],"set.":[125],"Simulation":[126],"results":[127],"illustrate":[128],"effectiveness":[130],"scheme.":[134]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}