{"id":"https://openalex.org/W2125432771","doi":"https://doi.org/10.1109/acc.2007.4282764","title":"Multivariable Adaptive Fuzzy CMAC Control for a Class of Nonlinear Systems","display_name":"Multivariable Adaptive Fuzzy CMAC Control for a Class of Nonlinear Systems","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2125432771","doi":"https://doi.org/10.1109/acc.2007.4282764","mag":"2125432771"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2007.4282764","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282764","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-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/A5077359376","display_name":"Ter-Feng Wu","orcid":"https://orcid.org/0000-0002-5911-6206"},"institutions":[{"id":"https://openalex.org/I75430998","display_name":"National Ilan University","ror":"https://ror.org/01npf0s58","country_code":"TW","type":"education","lineage":["https://openalex.org/I75430998"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Ter-Feng Wu","raw_affiliation_strings":["Department of Electrical Engineering, National I-Lan University, Ilan, Taiwan","National Ilan Univ., Ilan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National I-Lan University, Ilan, Taiwan","institution_ids":["https://openalex.org/I75430998"]},{"raw_affiliation_string":"National Ilan Univ., Ilan","institution_ids":["https://openalex.org/I75430998"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100714000","display_name":"Li\u2010Sheng Wang","orcid":"https://orcid.org/0000-0003-1512-9109"},"institutions":[{"id":"https://openalex.org/I75430998","display_name":"National Ilan University","ror":"https://ror.org/01npf0s58","country_code":"TW","type":"education","lineage":["https://openalex.org/I75430998"]},{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Li-Sheng Wang","raw_affiliation_strings":["Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan","National Ilan Univ., Ilan"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"National Ilan Univ., Ilan","institution_ids":["https://openalex.org/I75430998"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111635424","display_name":"Fan\u2010Ren Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Fan-Ren Chang","raw_affiliation_strings":["Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan","Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan, ROC. e-mail: frchang@ac.ee.ntu.edu.tw"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan, ROC. e-mail: frchang@ac.ee.ntu.edu.tw","institution_ids":["https://openalex.org/I16733864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102157390","display_name":"Pu-Sheng Tsai","orcid":null},"institutions":[{"id":"https://openalex.org/I2753814022","display_name":"China University of Science and Technology","ror":"https://ror.org/03sfb9j07","country_code":"TW","type":"education","lineage":["https://openalex.org/I2753814022"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Pu-Sheng Tsai","raw_affiliation_strings":["Department of Electronic Engineering, China Institute of Technology, Taipei, Taiwan","Department of Electronic Engineering, China Institute of Technology, Taipei, Taiwan, ROC. e-mail: elaine@cc.chit.edu.tw"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, China Institute of Technology, Taipei, Taiwan","institution_ids":["https://openalex.org/I2753814022"]},{"raw_affiliation_string":"Department of Electronic Engineering, China Institute of Technology, Taipei, Taiwan, ROC. e-mail: elaine@cc.chit.edu.tw","institution_ids":["https://openalex.org/I2753814022"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5077359376"],"corresponding_institution_ids":["https://openalex.org/I75430998"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1712963,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":null,"first_page":"3365","last_page":"3370"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9991999864578247,"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":0.9991999864578247,"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/T13717","display_name":"Advanced Algorithms and Applications","score":0.989799976348877,"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/T14225","display_name":"Advanced Sensor and Control Systems","score":0.9793000221252441,"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":0.8638615608215332},{"id":"https://openalex.org/keywords/multivariable-calculus","display_name":"Multivariable calculus","score":0.7678512334823608},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5984146595001221},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5751858353614807},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.5377140045166016},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.48282989859580994},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.47394776344299316},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4629446268081665},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4593435227870941},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.45412909984588623},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.41351091861724854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36988237500190735},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.23018604516983032},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18398618698120117},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16495287418365479},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15073201060295105},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1137339174747467},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.07039591670036316}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8638615608215332},{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.7678512334823608},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5984146595001221},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5751858353614807},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.5377140045166016},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.48282989859580994},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.47394776344299316},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4629446268081665},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4593435227870941},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.45412909984588623},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.41351091861724854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36988237500190735},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.23018604516983032},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18398618698120117},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16495287418365479},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15073201060295105},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1137339174747467},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.07039591670036316},{"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/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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2007.4282764","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282764","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1487127700","https://openalex.org/W1553483187","https://openalex.org/W1576064560","https://openalex.org/W1993740947","https://openalex.org/W1998334063","https://openalex.org/W1998586982","https://openalex.org/W2006392442","https://openalex.org/W2010673980","https://openalex.org/W2031057907","https://openalex.org/W2037188215","https://openalex.org/W2043426813","https://openalex.org/W2063045977","https://openalex.org/W2067603665","https://openalex.org/W2098053045","https://openalex.org/W2105675214","https://openalex.org/W2139891695","https://openalex.org/W2141747315","https://openalex.org/W2162007631","https://openalex.org/W2302808317","https://openalex.org/W6629040409","https://openalex.org/W6633239547","https://openalex.org/W6634781106","https://openalex.org/W6649986942","https://openalex.org/W6667282770"],"related_works":["https://openalex.org/W4230881116","https://openalex.org/W1497222032","https://openalex.org/W1978568405","https://openalex.org/W4242469293","https://openalex.org/W2372856383","https://openalex.org/W2115512691","https://openalex.org/W2005085248","https://openalex.org/W2153861285","https://openalex.org/W2043000245","https://openalex.org/W2103496243"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,22,36,71,99,126],"modified":[4],"multivariable":[5,38],"adaptive":[6,55,73],"fuzzy":[7],"cerebellar":[8],"model":[9],"articulation":[10],"controller":[11],"(CMAC)":[12],"scheme":[13],"is":[14,32,102,109],"proposed":[15,165],"to":[16,34,45,69,125,156],"solve":[17],"the":[18,47,87,114,120,135,142,145,158,161,164],"tracking":[19,121,136],"problem":[20,89],"for":[21],"class":[23],"of":[24,113,144,163],"nonlinear":[25,37],"systems.":[26],"A":[27],"FCMAC":[28,68,74],"(fuzzy":[29],"CMAC)":[30],"module":[31],"used":[33],"approximate":[35],"(multi-input":[39],"multi-output":[40],"(MIMO))":[41],"system":[42,78],"involving":[43],"uncertainty":[44],"create":[46],"desired":[48],"ideal":[49],"control":[50,53,77,146],"inputs.":[51],"Suitable":[52],"and":[54,119,160],"laws":[56],"with":[57,67,91],"output":[58],"feedback":[59],"based":[60],"on":[61],"sliding":[62],"surface":[63],"concept":[64],"are":[65,117,154],"incorporated":[66],"yield":[70],"MIMO":[72],"(MIMO":[75],"AFCMAC)":[76],"without":[79],"prior":[80],"off-line":[81],"learning":[82],"phase":[83],"required.":[84],"To":[85],"overcome":[86],"chattering":[88],"associated":[90],"discontinuity":[92],"derived":[93],"from":[94],"conventional":[95],"switching":[96],"robust":[97],"compensation,":[98],"smooth":[100],"compensation":[101],"proposed.":[103],"By":[104],"Lyapunov":[105],"stability":[106],"analysis,":[107],"it":[108],"shown":[110],"that":[111],"all":[112],"closed-loop":[115],"signals":[116],"bounded,":[118],"errors":[122],"converge":[123],"exponentially":[124],"residual":[127],"set,":[128],"whose":[129],"size":[130],"can":[131,148],"be":[132,139,149],"controlled.":[133],"While":[134],"precision":[137],"may":[138],"sacrificed":[140],"slightly,":[141],"quality":[143],"signal":[147],"improved":[150],"significantly.":[151],"Simulation":[152],"results":[153],"presented":[155],"demonstrate":[157],"validity":[159],"applicability":[162],"methodology.":[166]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}