{"id":"https://openalex.org/W4402774444","doi":"https://doi.org/10.1109/access.2024.3461728","title":"Intelligent Backstepping Control of Nonlinear Time-Varying System With Interval Type-2 Recurrent Fuzzy Neural Network Estimator","display_name":"Intelligent Backstepping Control of Nonlinear Time-Varying System With Interval Type-2 Recurrent Fuzzy Neural Network Estimator","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4402774444","doi":"https://doi.org/10.1109/access.2024.3461728"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3461728","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3461728","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.2024.3461728","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001301299","display_name":"Faa\u2010Jeng Lin","orcid":"https://orcid.org/0000-0003-4717-1993"},"institutions":[{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Faa-Jeng Lin","raw_affiliation_strings":["Department of Electrical Engineering, National Central University, Taoyuan, Taiwan","Department of Electrical Engineering, National Central University, Chungli, Taiwan"],"raw_orcid":"https://orcid.org/0000-0003-4717-1993","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National Central University, Taoyuan, Taiwan","institution_ids":["https://openalex.org/I22265921"]},{"raw_affiliation_string":"Department of Electrical Engineering, National Central University, Chungli, Taiwan","institution_ids":["https://openalex.org/I22265921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111338447","display_name":"Fu-Hsin Teng","orcid":null},"institutions":[{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Fu-Hsin Teng","raw_affiliation_strings":["Department of Electrical Engineering, National Central University, Taoyuan, Taiwan","Department of Electrical Engineering, National Central University, Chungli, Taiwan"],"raw_orcid":"https://orcid.org/0009-0007-9491-8099","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National Central University, Taoyuan, Taiwan","institution_ids":["https://openalex.org/I22265921"]},{"raw_affiliation_string":"Department of Electrical Engineering, National Central University, Chungli, Taiwan","institution_ids":["https://openalex.org/I22265921"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111965594","display_name":"Bo-Yu Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Bo-Yu Huang","raw_affiliation_strings":["Department of Electrical Engineering, National Central University, Taoyuan, Taiwan","Department of Electrical Engineering, National Central University, Chungli, Taiwan"],"raw_orcid":"https://orcid.org/0009-0006-4269-2246","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National Central University, Taoyuan, Taiwan","institution_ids":["https://openalex.org/I22265921"]},{"raw_affiliation_string":"Department of Electrical Engineering, National Central University, Chungli, Taiwan","institution_ids":["https://openalex.org/I22265921"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001301299"],"corresponding_institution_ids":["https://openalex.org/I22265921"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.9277,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75438215,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"12","issue":null,"first_page":"135873","last_page":"135885"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13717","display_name":"Advanced Algorithms and Applications","score":0.9057000279426575,"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/T13717","display_name":"Advanced Algorithms and Applications","score":0.9057000279426575,"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":0.7772191166877747},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6322424411773682},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6283508539199829},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6201695203781128},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6010791659355164},{"id":"https://openalex.org/keywords/intelligent-control","display_name":"Intelligent control","score":0.571161687374115},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5615701079368591},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.5426888465881348},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5426327586174011},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4768165946006775},{"id":"https://openalex.org/keywords/adaptive-neuro-fuzzy-inference-system","display_name":"Adaptive neuro fuzzy inference system","score":0.4656907320022583},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4396768808364868},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.36926355957984924},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.297715961933136},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2901726961135864},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.21500077843666077},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12360671162605286}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.7772191166877747},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6322424411773682},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6283508539199829},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6201695203781128},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6010791659355164},{"id":"https://openalex.org/C82327864","wikidata":"https://www.wikidata.org/wiki/Q835100","display_name":"Intelligent control","level":2,"score":0.571161687374115},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5615701079368591},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.5426888465881348},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5426327586174011},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4768165946006775},{"id":"https://openalex.org/C186108316","wikidata":"https://www.wikidata.org/wiki/Q352530","display_name":"Adaptive neuro fuzzy inference system","level":4,"score":0.4656907320022583},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4396768808364868},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.36926355957984924},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.297715961933136},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2901726961135864},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.21500077843666077},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12360671162605286},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2024.3461728","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3461728","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:cf3656cc16464a10975f604f3f5a8d2e","is_oa":true,"landing_page_url":"https://doaj.org/article/cf3656cc16464a10975f604f3f5a8d2e","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 12, Pp 135873-135885 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3461728","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3461728","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/G4872608393","display_name":null,"funder_award_id":"112-2221-E-008 -010 -MY3","funder_id":"https://openalex.org/F4320331164","funder_display_name":"National Science and Technology Council"},{"id":"https://openalex.org/G6590185226","display_name":null,"funder_award_id":"NSTC 112-2221-E008-010-MY3","funder_id":"https://openalex.org/F4320331164","funder_display_name":"National Science and Technology Council"}],"funders":[{"id":"https://openalex.org/F4320331164","display_name":"National Science and Technology Council","ror":"https://ror.org/00wnb9798"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W2057683924","https://openalex.org/W2128036726","https://openalex.org/W2150791985","https://openalex.org/W2247166775","https://openalex.org/W2275309871","https://openalex.org/W2591999327","https://openalex.org/W2614535555","https://openalex.org/W2883631898","https://openalex.org/W2910630796","https://openalex.org/W2914108621","https://openalex.org/W2916270127","https://openalex.org/W2917303508","https://openalex.org/W2921611113","https://openalex.org/W2943732118","https://openalex.org/W2990052381","https://openalex.org/W3026687434","https://openalex.org/W3040369123","https://openalex.org/W3115810964","https://openalex.org/W3133916897","https://openalex.org/W3140789748","https://openalex.org/W3145964895","https://openalex.org/W3155499393","https://openalex.org/W3157737037","https://openalex.org/W3158561608","https://openalex.org/W3159777196","https://openalex.org/W3203990188","https://openalex.org/W3209761312","https://openalex.org/W4214486151","https://openalex.org/W4285125850","https://openalex.org/W4312284467","https://openalex.org/W4312984713","https://openalex.org/W4319866453","https://openalex.org/W4320008791","https://openalex.org/W4321608144","https://openalex.org/W4377692756","https://openalex.org/W4383890449"],"related_works":["https://openalex.org/W3201063403","https://openalex.org/W2171771336","https://openalex.org/W1745496292","https://openalex.org/W1572304478","https://openalex.org/W2743009361","https://openalex.org/W2037250252","https://openalex.org/W2533494567","https://openalex.org/W2387174571","https://openalex.org/W2153694619","https://openalex.org/W2380356206"],"abstract_inverted_index":{"This":[0],"research":[1],"proposes":[2],"an":[3,8,57,100,133],"intelligent":[4],"backstepping":[5,35],"control":[6,24,36,45],"with":[7,80,166],"interval":[9,58],"type-2":[10,59],"recurrent":[11,60],"fuzzy":[12,61],"neural":[13,62],"network":[14,63],"(IBSCIT2RFNN),":[15],"which":[16],"can":[17],"modify":[18],"the":[19,32,43,51,108,123,130,142,146,178,184],"inherent":[20],"nonlinear":[21,28,71],"and":[22,93,180],"time-varying":[23,29],"characteristics":[25],"of":[26,69,107,125,145,183],"a":[27,34,66,70,84,149,158],"system.":[30,46],"In":[31],"IBSCIT2RFNN,":[33],"(BSC)":[37],"law":[38],"is":[39,54,73,102,115,136,152],"designed":[40],"to":[41,117,122,138,176],"stabilize":[42],"closed-loop":[44],"The":[47,111],"lumped":[48,82,95,109],"uncertainty":[49],"in":[50],"BSC":[52,72],"design":[53,68],"estimated":[55],"using":[56],"(IT2RFNN).":[64],"Initially,":[65],"step-by-step":[67],"formulated":[74],"for":[75,104,129,141],"tracking":[76],"periodic":[77],"reference":[78],"trajectories,":[79],"uncertainties":[81],"by":[83],"conservative":[85],"constant.":[86],"However,":[87],"practical":[88],"applications":[89],"often":[90],"involve":[91],"unknown":[92],"difficult-to-predict":[94],"uncertainties.":[96],"To":[97],"address":[98],"this,":[99],"IT2RFNN":[101],"introduced":[103],"real-time":[105],"estimation":[106,143],"uncertainty.":[110],"Lyapunov":[112],"stability":[113],"method":[114],"applied":[116],"ensure":[118],"asymptotic":[119],"stability,":[120],"leading":[121],"development":[124],"online":[126],"learning":[127],"algorithms":[128],"IT2RFNN.":[131,147],"Additionally,":[132],"adaptive":[134],"compensator":[135],"presented":[137],"proactively":[139],"compensate":[140],"error":[144],"Finally,":[148],"case":[150],"study":[151],"included,":[153],"presenting":[154],"experimental":[155],"results":[156,174],"from":[157],"synchronous":[159],"reluctance":[160],"motor":[161],"(SRM)":[162],"position":[163],"servo":[164],"drive":[165],"maximum":[167],"torque":[168],"per":[169],"ampere":[170],"(MTPA)":[171],"control.":[172],"These":[173],"aim":[175],"validate":[177],"effectiveness":[179],"robust":[181],"qualities":[182],"proposed":[185],"IBSCIT2RFNN.":[186]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}