{"id":"https://openalex.org/W2117805565","doi":"https://doi.org/10.1109/tnn.2008.2001003","title":"Adaptive-Fourier-Neural-Network-Based Control for a Class of Uncertain Nonlinear Systems","display_name":"Adaptive-Fourier-Neural-Network-Based Control for a Class of Uncertain Nonlinear Systems","publication_year":2008,"publication_date":"2008-09-29","ids":{"openalex":"https://openalex.org/W2117805565","doi":"https://doi.org/10.1109/tnn.2008.2001003","mag":"2117805565","pmid":"https://pubmed.ncbi.nlm.nih.gov/18842474"},"language":"en","primary_location":{"id":"doi:10.1109/tnn.2008.2001003","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2008.2001003","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"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","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/A5024266483","display_name":"Wei Zuo","orcid":"https://orcid.org/0000-0002-9421-7387"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Wei Zuo","raw_affiliation_strings":["Department of Mechanical Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China","Dept. of Mech. Eng., Hong Kong Univ. of Sci. & Technol, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"Dept. of Mech. Eng., Hong Kong Univ. of Sci. & Technol, Hong Kong","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010305386","display_name":"Lilong Cai","orcid":null},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Lilong Cai","raw_affiliation_strings":["Department of Mechanical Engineering, Hong Kong University of Science and Technology, Kowloon, Hong Kong, China","Dept. of Mech. Eng., Hong Kong Univ. of Sci. & Technol, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Hong Kong University of Science and Technology, Kowloon, Hong Kong, China","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"Dept. of Mech. Eng., Hong Kong Univ. of Sci. & Technol, Hong Kong","institution_ids":["https://openalex.org/I200769079"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024266483"],"corresponding_institution_ids":["https://openalex.org/I200769079"],"apc_list":null,"apc_paid":null,"fwci":4.9819,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.94917456,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"19","issue":"10","first_page":"1689","last_page":"1701"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9988999962806702,"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":0.9988999962806702,"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/T10320","display_name":"Neural Networks and Applications","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9855999946594238,"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":0.6798945665359497},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6743431091308594},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6285548210144043},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.562690019607544},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5274244546890259},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5204782485961914},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.49911975860595703},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.48842325806617737},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.46070730686187744},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.4453076124191284},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4356229603290558},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32165414094924927},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2138407826423645},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12640389800071716}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6798945665359497},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6743431091308594},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6285548210144043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.562690019607544},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5274244546890259},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5204782485961914},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.49911975860595703},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.48842325806617737},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.46070730686187744},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.4453076124191284},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4356229603290558},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32165414094924927},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2138407826423645},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12640389800071716},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"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/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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"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":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005583","descriptor_name":"Fourier Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005583","descriptor_name":"Fourier Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005583","descriptor_name":"Fourier Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009716","descriptor_name":"Numerical Analysis, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009716","descriptor_name":"Numerical Analysis, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009716","descriptor_name":"Numerical Analysis, Computer-Assisted","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":"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":2,"locations":[{"id":"doi:10.1109/tnn.2008.2001003","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2008.2001003","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"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","raw_type":"journal-article"},{"id":"pmid:18842474","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/18842474","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","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W150571132","https://openalex.org/W1487127700","https://openalex.org/W1493190793","https://openalex.org/W1496777766","https://openalex.org/W1517236425","https://openalex.org/W1984461808","https://openalex.org/W2048643084","https://openalex.org/W2051671655","https://openalex.org/W2054184020","https://openalex.org/W2067736451","https://openalex.org/W2098232303","https://openalex.org/W2104353847","https://openalex.org/W2112408600","https://openalex.org/W2114426939","https://openalex.org/W2115932303","https://openalex.org/W2120141422","https://openalex.org/W2122281657","https://openalex.org/W2124189772","https://openalex.org/W2128036726","https://openalex.org/W2128233446","https://openalex.org/W2132803681","https://openalex.org/W2135637601","https://openalex.org/W2136997106","https://openalex.org/W2142148039","https://openalex.org/W2142923542","https://openalex.org/W2144215433","https://openalex.org/W2144440388","https://openalex.org/W2145597386","https://openalex.org/W2155293593","https://openalex.org/W2162397765","https://openalex.org/W2164262665","https://openalex.org/W2167164867","https://openalex.org/W2167656575","https://openalex.org/W2172270388","https://openalex.org/W4292872153"],"related_works":["https://openalex.org/W2170426841","https://openalex.org/W3199375621","https://openalex.org/W1967964192","https://openalex.org/W1604153366","https://openalex.org/W2164326006","https://openalex.org/W2101236138","https://openalex.org/W2157109087","https://openalex.org/W1985802331","https://openalex.org/W4312227352","https://openalex.org/W1971360108"],"abstract_inverted_index":{"An":[0],"adaptive":[1],"Fourier":[2,25,36],"neural":[3,28],"network":[4,29],"(AFNN)":[5],"control":[6,15],"scheme":[7],"is":[8,76,121,124],"presented":[9,160],"in":[10],"this":[11],"paper":[12],"for":[13],"the":[14,39,44,49,51,54,60,63,72,79,84,110,136,149,163,166],"of":[16,19,48,53,62,71,83,135,142,152,165],"a":[17,106,117,126,143],"class":[18],"uncertain":[20,101],"nonlinear":[21,102,146],"systems.":[22],"Based":[23],"on":[24],"analysis":[26],"and":[27,81,90,130,148],"(NN)":[30],"theory,":[31,116],"AFNN":[32,55,74,168],"employs":[33],"orthogonal":[34],"complex":[35],"exponentials":[37],"as":[38,57,59],"activation":[40,64],"functions.":[41],"Due":[42],"to":[43,100,161],"clear":[45],"physical":[46],"meaning":[47],"neurons,":[50],"determination":[52],"structure":[56],"well":[58],"parameters":[61],"functions":[65],"becomes":[66],"convenient.":[67],"One":[68],"salient":[69],"feature":[70],"proposed":[73,167],"approach":[75],"that":[77],"all":[78],"nonlinearities":[80],"uncertainties":[82],"dynamical":[85],"system":[86,111,147],"are":[87,159],"lumped":[88],"together":[89],"compensated":[91],"online":[92],"by":[93],"AFNN.":[94],"It":[95],"can,":[96],"therefore,":[97],"be":[98],"applied":[99],"systems":[103],"without":[104],"any":[105],"priori":[107],"knowledge":[108],"about":[109],"dynamics.":[112],"Derived":[113],"from":[114],"Lyapunov":[115],"novel":[118],"learning":[119],"algorithm":[120],"proposed,":[122],"which":[123],"essentially":[125],"frequency":[127],"domain":[128],"method":[129],"can":[131],"guarantee":[132],"asymptotic":[133],"stability":[134],"closed-loop":[137],"system.":[138],"The":[139],"simulation":[140],"results":[141,151],"multiple-input-multiple-output":[144],"(MIMO)":[145],"experimental":[150],"an":[153],"X":[154],"-":[155],"Y":[156],"positioning":[157],"table":[158],"show":[162],"effectiveness":[164],"controller.":[169]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}
