{"id":"https://openalex.org/W2793198116","doi":"https://doi.org/10.1109/tnnls.2018.2810138","title":"Optimal Fault-Tolerant Control for Discrete-Time Nonlinear Strict-Feedback Systems Based on Adaptive Critic Design","display_name":"Optimal Fault-Tolerant Control for Discrete-Time Nonlinear Strict-Feedback Systems Based on Adaptive Critic Design","publication_year":2018,"publication_date":"2018-03-20","ids":{"openalex":"https://openalex.org/W2793198116","doi":"https://doi.org/10.1109/tnnls.2018.2810138","mag":"2793198116","pmid":"https://pubmed.ncbi.nlm.nih.gov/29771670"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2018.2810138","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2018.2810138","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/A5015793382","display_name":"Zhanshan Wang","orcid":"https://orcid.org/0000-0002-6022-4933"},"institutions":[{"id":"https://openalex.org/I4391767858","display_name":"State Key Laboratory of Synthetical Automation for Process Industries","ror":"https://ror.org/0380ng272","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767858","https://openalex.org/I9224756"]},{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhanshan Wang","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, China","State Key Laboratory of Synthetical Automation for Process Industries, Shenyang, China"],"raw_orcid":"https://orcid.org/0000-0002-6022-4933","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process Industries, Shenyang, China","institution_ids":["https://openalex.org/I4391767858"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107410499","display_name":"Lei Liu","orcid":"https://orcid.org/0000-0003-3724-0596"},"institutions":[{"id":"https://openalex.org/I2898894","display_name":"Liaoning University of Technology","ror":"https://ror.org/05ay23762","country_code":"CN","type":"education","lineage":["https://openalex.org/I2898894"]},{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Liu","raw_affiliation_strings":["College of Science, Liaoning University of Technology, Jinzhou, China","State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China"],"raw_orcid":"https://orcid.org/0000-0003-3724-0596","affiliations":[{"raw_affiliation_string":"College of Science, Liaoning University of Technology, Jinzhou, China","institution_ids":["https://openalex.org/I2898894"]},{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011781291","display_name":"Yanming Wu","orcid":"https://orcid.org/0000-0001-9423-9773"},"institutions":[{"id":"https://openalex.org/I4391767858","display_name":"State Key Laboratory of Synthetical Automation for Process Industries","ror":"https://ror.org/0380ng272","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767858","https://openalex.org/I9224756"]},{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanming Wu","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, China","State Key Laboratory of Synthetical Automation for Process Industries, Shenyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process Industries, Shenyang, China","institution_ids":["https://openalex.org/I4391767858"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100625790","display_name":"Huaguang Zhang","orcid":"https://orcid.org/0000-0002-0647-4050"},"institutions":[{"id":"https://openalex.org/I4391767858","display_name":"State Key Laboratory of Synthetical Automation for Process Industries","ror":"https://ror.org/0380ng272","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767858","https://openalex.org/I9224756"]},{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaguang Zhang","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, China","State Key Laboratory of Synthetical Automation for Process Industries, Shenyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process Industries, Shenyang, China","institution_ids":["https://openalex.org/I4391767858"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":5.9479,"has_fulltext":false,"cited_by_count":81,"citation_normalized_percentile":{"value":0.96887555,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"29","issue":"6","first_page":"2179","last_page":"2191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9555000066757202,"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/backstepping","display_name":"Backstepping","score":0.743964433670044},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7280848026275635},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6136764287948608},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5900792479515076},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5855758786201477},{"id":"https://openalex.org/keywords/control-reconfiguration","display_name":"Control reconfiguration","score":0.55027836561203},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.5341027975082397},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.4863210618495941},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.44651663303375244},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4238860309123993},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.42137882113456726},{"id":"https://openalex.org/keywords/offset","display_name":"Offset (computer science)","score":0.4150840640068054},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38692498207092285},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.3407225012779236},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24883407354354858},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1994258165359497},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16577792167663574}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.743964433670044},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7280848026275635},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6136764287948608},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5900792479515076},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5855758786201477},{"id":"https://openalex.org/C119701452","wikidata":"https://www.wikidata.org/wiki/Q5165881","display_name":"Control reconfiguration","level":2,"score":0.55027836561203},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.5341027975082397},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.4863210618495941},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.44651663303375244},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4238860309123993},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.42137882113456726},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.4150840640068054},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38692498207092285},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.3407225012779236},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24883407354354858},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1994258165359497},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16577792167663574},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","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/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/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2018.2810138","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2018.2810138","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:29771670","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/29771670","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":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1683018794","display_name":null,"funder_award_id":"61,627,809","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4629068781","display_name":null,"funder_award_id":"61433004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4800268692","display_name":null,"funder_award_id":"61473070","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1573503290","https://openalex.org/W1790534215","https://openalex.org/W1965352522","https://openalex.org/W1981619723","https://openalex.org/W1990026397","https://openalex.org/W2002260889","https://openalex.org/W2033799253","https://openalex.org/W2035003264","https://openalex.org/W2035608030","https://openalex.org/W2042670951","https://openalex.org/W2052828853","https://openalex.org/W2062704232","https://openalex.org/W2078855146","https://openalex.org/W2089684487","https://openalex.org/W2104313450","https://openalex.org/W2107674817","https://openalex.org/W2113289097","https://openalex.org/W2124933191","https://openalex.org/W2130515883","https://openalex.org/W2142923542","https://openalex.org/W2156629001","https://openalex.org/W2158675660","https://openalex.org/W2171125116","https://openalex.org/W2291041537","https://openalex.org/W2327495330","https://openalex.org/W2327635703","https://openalex.org/W2334750579","https://openalex.org/W2338719424","https://openalex.org/W2343090116","https://openalex.org/W2344370274","https://openalex.org/W2396603033","https://openalex.org/W2476930474","https://openalex.org/W2484646121","https://openalex.org/W2523345745","https://openalex.org/W2554580583","https://openalex.org/W2554610007","https://openalex.org/W2556875844","https://openalex.org/W2560234987","https://openalex.org/W2575090965","https://openalex.org/W2586166888","https://openalex.org/W2745633020","https://openalex.org/W2759973610","https://openalex.org/W6634288218"],"related_works":["https://openalex.org/W2771027241","https://openalex.org/W1765905465","https://openalex.org/W2793080664","https://openalex.org/W2186140227","https://openalex.org/W2130594209","https://openalex.org/W1950809481","https://openalex.org/W1847613412","https://openalex.org/W2085988155","https://openalex.org/W4382203996","https://openalex.org/W1832247486"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,22,33,38,46,49,67,74,86,90,104,109,114,131,141,151,154,159,166,175,178],"problem":[4],"of":[5,13,24,37,48,140,153,177],"optimal":[6,127,160,180],"fault-tolerant":[7],"control":[8,161],"(FTC)":[9],"for":[10],"a":[11,81,99,117],"class":[12],"unknown":[14,60,101],"nonlinear":[15,61,76],"discrete-time":[16],"systems":[17,53,77],"with":[18],"actuator":[19,39],"fault":[20],"in":[21,55,66,103,129],"framework":[23],"adaptive":[25,34],"critic":[26,132],"design":[27,106],"(ACD).":[28],"A":[29],"pivotal":[30],"highlight":[31],"is":[32,42,121],"auxiliary":[35],"signal":[36],"fault,":[40],"which":[41,63,130],"designed":[43],"to":[44,97,123,173],"offset":[45],"effect":[47],"fault.":[50],"The":[51],"considered":[52],"are":[54,78,95,171],"strict-feedback":[56],"forms":[57],"and":[58,113],"involve":[59],"functions,":[62],"will":[64],"result":[65],"causal":[68],"problem.":[69],"To":[70],"solve":[71],"this":[72,145],"problem,":[73],"original":[75],"transformed":[79],"into":[80],"novel":[82],"system":[83],"by":[84],"employing":[85],"diffeomorphism":[87],"theory.":[88],"Besides,":[89],"action":[91],"neural":[92,133],"networks":[93,134],"(ANNs)":[94],"utilized":[96],"approximate":[98,138],"predefined":[100],"function":[102,112],"backstepping":[105],"procedure.":[107],"Combined":[108],"strategic":[110],"utility":[111],"ACD":[115],"technique,":[116],"reinforcement":[118],"learning":[119],"algorithm":[120],"proposed":[122,179],"set":[124],"up":[125],"an":[126,137],"FTC,":[128],"(CNNs)":[135],"provide":[136],"structure":[139],"cost":[142],"function.":[143],"In":[144,165],"case,":[146],"it":[147],"not":[148],"only":[149],"guarantees":[150],"stability":[152],"systems,":[155],"but":[156],"also":[157],"achieves":[158],"performance":[162],"as":[163],"well.":[164],"end,":[167],"two":[168],"simulation":[169],"examples":[170],"used":[172],"show":[174],"effectiveness":[176],"FTC":[181],"strategy.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
