{"id":"https://openalex.org/W2101601794","doi":"https://doi.org/10.1109/robio.2009.5420849","title":"An LMI-based controller design of uncertain nonlinear systems using Takagi-Sugeno fuzzy region model","display_name":"An LMI-based controller design of uncertain nonlinear systems using Takagi-Sugeno fuzzy region model","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2101601794","doi":"https://doi.org/10.1109/robio.2009.5420849","mag":"2101601794"},"language":"en","primary_location":{"id":"doi:10.1109/robio.2009.5420849","is_oa":false,"landing_page_url":"https://doi.org/10.1109/robio.2009.5420849","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Robotics and Biomimetics (ROBIO)","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/A5110194663","display_name":"Shengjian Bai","orcid":null},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shengjian Bai","raw_affiliation_strings":["College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha, Hunan, China","College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha, Hunan 410073, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha, Hunan, China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha, Hunan 410073, P. R. China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042438563","display_name":"Xinsheng Huang","orcid":"https://orcid.org/0000-0003-3201-4776"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinsheng Huang","raw_affiliation_strings":["National University of Defense Technology, Changsha, Hunan, China","National University of Defense Technology, Changsha, Hunan, 410073 P. R. China"],"affiliations":[{"raw_affiliation_string":"National University of Defense Technology, Changsha, Hunan, China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"National University of Defense Technology, Changsha, Hunan, 410073 P. R. China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017598664","display_name":"Wanying Xu","orcid":"https://orcid.org/0009-0000-2339-109X"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wanying Xu","raw_affiliation_strings":["National University of Defense Technology, Changsha, Hunan, China","National University of Defense Technology, Changsha, Hunan, 410073 P. R. China"],"affiliations":[{"raw_affiliation_string":"National University of Defense Technology, Changsha, Hunan, China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"National University of Defense Technology, Changsha, Hunan, 410073 P. R. China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065795713","display_name":"Lundong Zhang","orcid":"https://orcid.org/0000-0002-3245-4619"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lundong Zhang","raw_affiliation_strings":["National University of Defense Technology, Changsha, Hunan, China","National University of Defense Technology, Changsha, Hunan, 410073 P. R. China"],"affiliations":[{"raw_affiliation_string":"National University of Defense Technology, Changsha, Hunan, China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"National University of Defense Technology, Changsha, Hunan, 410073 P. R. China","institution_ids":["https://openalex.org/I170215575"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5110194663"],"corresponding_institution_ids":["https://openalex.org/I170215575"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09504605,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"120","issue":null,"first_page":"1209","last_page":"1214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9983000159263611,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9983000159263611,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9839000105857849,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9772999882698059,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7445895671844482},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6552489995956421},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.6476632952690125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6002830862998962},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5786111950874329},{"id":"https://openalex.org/keywords/fuzzy-associative-matrix","display_name":"Fuzzy associative matrix","score":0.5114856958389282},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4906269609928131},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.48862606287002563},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.46390268206596375},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.44602787494659424},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.44221705198287964},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.4210807681083679},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.35324758291244507},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3515593111515045},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.31094977259635925},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1320146918296814},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11268377304077148},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05038881301879883}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7445895671844482},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6552489995956421},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.6476632952690125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6002830862998962},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5786111950874329},{"id":"https://openalex.org/C144170203","wikidata":"https://www.wikidata.org/wiki/Q5511099","display_name":"Fuzzy associative matrix","level":5,"score":0.5114856958389282},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4906269609928131},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.48862606287002563},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.46390268206596375},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44602787494659424},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.44221705198287964},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.4210807681083679},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.35324758291244507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3515593111515045},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.31094977259635925},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1320146918296814},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11268377304077148},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05038881301879883},{"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/robio.2009.5420849","is_oa":false,"landing_page_url":"https://doi.org/10.1109/robio.2009.5420849","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Robotics and Biomimetics (ROBIO)","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":10,"referenced_works":["https://openalex.org/W1989555277","https://openalex.org/W2015992732","https://openalex.org/W2028893647","https://openalex.org/W2062052267","https://openalex.org/W2076264829","https://openalex.org/W2079325629","https://openalex.org/W2129616157","https://openalex.org/W2136841404","https://openalex.org/W2139133559","https://openalex.org/W6680434877"],"related_works":["https://openalex.org/W4242970302","https://openalex.org/W2571050636","https://openalex.org/W2382615100","https://openalex.org/W2184441312","https://openalex.org/W4388451300","https://openalex.org/W2389220828","https://openalex.org/W2331106272","https://openalex.org/W2005651838","https://openalex.org/W1592580928","https://openalex.org/W2155269963"],"abstract_inverted_index":{"Robust":[0],"control":[1],"of":[2,5,83,123],"a":[3,55,96,129],"class":[4],"uncertain":[6,23],"Takagi-Sugeno":[7],"(T-S)":[8],"fuzzy":[9,18,25,36,49,56,68],"system":[10],"is":[11,33,44],"investigated":[12],"in":[13,54,81,104,114],"the":[14,48,59,110,119],"paper":[15],"by":[16,73,128],"using":[17,74],"region":[19,37,50,57,69],"concept.":[20],"The":[21,62,88],"general":[22],"T-S":[24],"model":[26],"with":[27],"Standard":[28],"Fuzzy":[29,40],"Partition":[30],"(SFP)":[31],"inputs":[32],"converted":[34],"into":[35],"ones.":[38],"A":[39],"Region":[41],"Controller":[42],"(FRC)":[43],"designed":[45],"based":[46],"on":[47],"concept,":[51],"and":[52,112,121],"sub-models":[53],"share":[58],"same":[60],"FRC.":[61],"relaxed":[63],"stability":[64,90,116],"conditions":[65],"for":[66],"closed-loop":[67],"systems":[70],"are":[71,126],"derived":[72,89],"Piecewise":[75],"Smooth":[76],"Quadratic":[77],"(PSQ)":[78],"Lyapunov":[79],"function":[80],"terms":[82],"Linear":[84],"Matrix":[85],"Inequalities":[86],"(LMIs).":[87],"condition,":[91],"which":[92],"only":[93],"requires":[94],"finding":[95],"local":[97],"common":[98],"positive":[99],"definite":[100],"symmetric":[101],"matrix":[102],"P":[103],"each":[105],"operating":[106],"region,":[107],"can":[108],"reduce":[109],"conservatism":[111],"difficulty":[113],"existing":[115],"conditions.":[117],"Finally,":[118],"feasibility":[120],"validity":[122],"this":[124],"approach":[125],"demonstrated":[127],"numerical":[130],"example.":[131]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
