{"id":"https://openalex.org/W1537467864","doi":"https://doi.org/10.1109/tcyb.2014.2365778","title":"Approximation-Based Adaptive Tracking Control for MIMO Nonlinear Systems With Input Saturation","display_name":"Approximation-Based Adaptive Tracking Control for MIMO Nonlinear Systems With Input Saturation","publication_year":2014,"publication_date":"2014-11-12","ids":{"openalex":"https://openalex.org/W1537467864","doi":"https://doi.org/10.1109/tcyb.2014.2365778","mag":"1537467864","pmid":"https://pubmed.ncbi.nlm.nih.gov/25398186"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2014.2365778","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2014.2365778","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","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/A5100782873","display_name":"Qi Zhou","orcid":"https://orcid.org/0000-0001-7237-4659"},"institutions":[{"id":"https://openalex.org/I97009856","display_name":"Bohai University","ror":"https://ror.org/01kdzej58","country_code":"CN","type":"education","lineage":["https://openalex.org/I97009856"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qi Zhou","raw_affiliation_strings":["College of Information Science and Technology, Bohai University, Jinzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Bohai University, Jinzhou, China","institution_ids":["https://openalex.org/I97009856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100739668","display_name":"Peng Shi","orcid":"https://orcid.org/0000-0001-8218-586X"},"institutions":[{"id":"https://openalex.org/I71270174","display_name":"Victoria University","ror":"https://ror.org/04j757h98","country_code":"AU","type":"education","lineage":["https://openalex.org/I71270174"]},{"id":"https://openalex.org/I5681781","display_name":"University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I5681781"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Peng Shi","raw_affiliation_strings":["College of Engineering and Science, Victoria University, Melbourne, VIC, Australia","School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, SA, Australia"],"affiliations":[{"raw_affiliation_string":"College of Engineering and Science, Victoria University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I71270174"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, SA, Australia","institution_ids":["https://openalex.org/I5681781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100752654","display_name":"Yang Tian","orcid":"https://orcid.org/0000-0003-3015-7060"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Tian","raw_affiliation_strings":["Research Institute of Intelligent Control and System, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Research Institute of Intelligent Control and System, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100350105","display_name":"Mingyu Wang","orcid":"https://orcid.org/0000-0002-1868-3220"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingyu Wang","raw_affiliation_strings":["Research Institute of Intelligent Control and System, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Research Institute of Intelligent Control and System, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100782873"],"corresponding_institution_ids":["https://openalex.org/I97009856"],"apc_list":null,"apc_paid":null,"fwci":42.6661,"has_fulltext":false,"cited_by_count":228,"citation_normalized_percentile":{"value":0.99873763,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"45","issue":"10","first_page":"2119","last_page":"2128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.49079999327659607,"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":0.49079999327659607,"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":0.26759999990463257,"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":0.08420000225305557,"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":0.9418728947639465},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8286232352256775},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7272902727127075},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6454412341117859},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5180439949035645},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5149887204170227},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5051935315132141},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.483774870634079},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4130634665489197},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.36923688650131226},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.34104135632514954},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.235640287399292},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14862707257270813},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.06033813953399658}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.9418728947639465},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8286232352256775},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7272902727127075},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6454412341117859},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5180439949035645},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5149887204170227},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5051935315132141},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.483774870634079},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4130634665489197},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.36923688650131226},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.34104135632514954},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.235640287399292},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14862707257270813},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.06033813953399658},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":4,"locations":[{"id":"doi:10.1109/tcyb.2014.2365778","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2014.2365778","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:25398186","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/25398186","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 cybernetics","raw_type":null},{"id":"pmh:oai:eprints.vu.edu.au:37579","is_oa":false,"landing_page_url":"https://vuir.vu.edu.au/37579/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400215","display_name":"Victoria University Research Repository (Victoria University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I41156924","host_organization_name":"Victoria University of Wellington","host_organization_lineage":["https://openalex.org/I41156924"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:digital.library.adelaide.edu.au:2440/100893","is_oa":false,"landing_page_url":"http://hdl.handle.net/2440/100893","pdf_url":null,"source":{"id":"https://openalex.org/S4306401835","display_name":"Adelaide Research & Scholarship (AR&S) (University of Adelaide)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5681781","host_organization_name":"The University of Adelaide","host_organization_lineage":["https://openalex.org/I5681781"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dx.doi.org/10.1109/tcyb.2014.2365778","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G283044312","display_name":null,"funder_award_id":"B12018","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G4050996324","display_name":null,"funder_award_id":"DP140102180","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G4224028809","display_name":null,"funder_award_id":"61304003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6427964584","display_name":null,"funder_award_id":"61304002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6444494329","display_name":null,"funder_award_id":"NCET-13-0696","funder_id":"https://openalex.org/F4320334924","funder_display_name":"Program for New Century Excellent Talents in University"},{"id":"https://openalex.org/G6537428901","display_name":null,"funder_award_id":"LP140100471","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G7583496911","display_name":null,"funder_award_id":"61333012","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/F4320327912","display_name":"Higher Education Discipline Innovation Project","ror":null},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"},{"id":"https://openalex.org/F4320334924","display_name":"Program for New Century Excellent Talents in University","ror":"https://ror.org/01mv9t934"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1956817579","https://openalex.org/W1966811233","https://openalex.org/W1968464152","https://openalex.org/W1970068620","https://openalex.org/W1971756594","https://openalex.org/W1983294924","https://openalex.org/W1994507996","https://openalex.org/W1995353190","https://openalex.org/W2001322648","https://openalex.org/W2005001458","https://openalex.org/W2013167594","https://openalex.org/W2016095551","https://openalex.org/W2026880725","https://openalex.org/W2043838118","https://openalex.org/W2054881597","https://openalex.org/W2066083861","https://openalex.org/W2071447329","https://openalex.org/W2086186132","https://openalex.org/W2089892493","https://openalex.org/W2092956574","https://openalex.org/W2102057409","https://openalex.org/W2103536144","https://openalex.org/W2106105364","https://openalex.org/W2114847465","https://openalex.org/W2117925921","https://openalex.org/W2121570671","https://openalex.org/W2122836694","https://openalex.org/W2125424230","https://openalex.org/W2126976787","https://openalex.org/W2132300288","https://openalex.org/W2133337272","https://openalex.org/W2142129363","https://openalex.org/W2142148039","https://openalex.org/W2144784132","https://openalex.org/W2155947439","https://openalex.org/W2160917764"],"related_works":["https://openalex.org/W1847613412","https://openalex.org/W4387960131","https://openalex.org/W2972367213","https://openalex.org/W4382203996","https://openalex.org/W2170944339","https://openalex.org/W1972061147","https://openalex.org/W3167722269","https://openalex.org/W2969358681","https://openalex.org/W1991810297","https://openalex.org/W1819950161"],"abstract_inverted_index":{"In":[0,49],"this":[1],"paper,":[2],"an":[3],"approximation-based":[4],"adaptive":[5,28],"tracking":[6],"control":[7,45,57,95],"approach":[8],"is":[9,30,47,59],"proposed":[10,108],"for":[11],"a":[12,26],"class":[13],"of":[14,23,43,75,106],"multiinput":[15],"multioutput":[16],"nonlinear":[17,65,90],"systems.":[18],"Based":[19],"on":[20],"the":[21,41,50,54,73,82,88,93,104,107],"method":[22],"neural":[24,83],"network,":[25],"novel":[27],"controller":[29],"designed":[31],"via":[32],"backstepping":[33,51],"design":[34,52],"process.":[35],"Furthermore,":[36],"by":[37],"introducing":[38],"Nussbaum":[39],"function,":[40],"issue":[42],"unknown":[44,89],"directions":[46],"handled.":[48],"process,":[53],"dynamic":[55],"surface":[56],"technique":[58],"employed":[60],"to":[61,71,85,102],"avoid":[62],"differentiating":[63],"certain":[64],"functions":[66,91],"repeatedly.":[67],"Moreover,":[68],"in":[69],"order":[70],"reduce":[72],"number":[74],"adaptation":[76],"laws,":[77],"we":[78,98],"do":[79],"not":[80],"use":[81],"networks":[84],"directly":[86],"approximate":[87],"but":[92],"desired":[94],"signals.":[96],"Finally,":[97],"provide":[99],"two":[100],"examples":[101],"illustrate":[103],"effectiveness":[105],"approach.":[109]},"counts_by_year":[{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":16},{"year":2019,"cited_by_count":28},{"year":2018,"cited_by_count":23},{"year":2017,"cited_by_count":46},{"year":2016,"cited_by_count":55},{"year":2015,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}