{"id":"https://openalex.org/W2112029051","doi":"https://doi.org/10.1109/fuzzy.2010.5584205","title":"Stability analysis and stabilization of polynomial fuzzy-model-based control systems using piecewise linear membership functions","display_name":"Stability analysis and stabilization of polynomial fuzzy-model-based control systems using piecewise linear membership functions","publication_year":2010,"publication_date":"2010-07-01","ids":{"openalex":"https://openalex.org/W2112029051","doi":"https://doi.org/10.1109/fuzzy.2010.5584205","mag":"2112029051"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2010.5584205","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2010.5584205","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Conference on Fuzzy Systems","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/A5059514204","display_name":"Hak\u2010Keung Lam","orcid":"https://orcid.org/0000-0002-6572-7265"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"H. K. Lam","raw_affiliation_strings":["Division of Engineering, Department of Electronictronic Engineering, King''s College, London, UK","Department of Electronic Engineering, Division of Engineering, King's College London, Strand, London WC2R 2LC, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Division of Engineering, Department of Electronictronic Engineering, King''s College, London, UK","institution_ids":["https://openalex.org/I183935753"]},{"raw_affiliation_string":"Department of Electronic Engineering, Division of Engineering, King's College London, Strand, London WC2R 2LC, United Kingdom","institution_ids":["https://openalex.org/I183935753"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070099849","display_name":"Mohammad Rasoul Narimani","orcid":"https://orcid.org/0000-0002-2996-0254"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mohammad Narimani","raw_affiliation_strings":["Division of Engineering, Department of Electronictronic Engineering, King''s College, London, UK","Department of Electronic Engineering, Division of Engineering, King's College London, Strand, London WC2R 2LC, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Division of Engineering, Department of Electronictronic Engineering, King''s College, London, UK","institution_ids":["https://openalex.org/I183935753"]},{"raw_affiliation_string":"Department of Electronic Engineering, Division of Engineering, King's College London, Strand, London WC2R 2LC, United Kingdom","institution_ids":["https://openalex.org/I183935753"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056524805","display_name":"F.H.F. Leung","orcid":"https://orcid.org/0000-0003-3921-7074"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"F. H. F. Leung","raw_affiliation_strings":["Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, China","Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong,"],"affiliations":[{"raw_affiliation_string":"Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, China","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong,","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059514204"],"corresponding_institution_ids":["https://openalex.org/I183935753"],"apc_list":null,"apc_paid":null,"fwci":0.929,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.81653475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.996399998664856,"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"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.996399998664856,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9908999800682068,"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/T14470","display_name":"Advanced Data Processing Techniques","score":0.9872999787330627,"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/mathematics","display_name":"Mathematics","score":0.7057008743286133},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6167491674423218},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6096609830856323},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.5729696750640869},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5638128519058228},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5420854687690735},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5377258658409119},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4701433479785919},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4667504131793976},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4124416410923004},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3960150182247162},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3719244599342346},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3239145278930664},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21270978450775146},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1061844527721405},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08762520551681519},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07778599858283997}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7057008743286133},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6167491674423218},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6096609830856323},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.5729696750640869},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5638128519058228},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5420854687690735},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5377258658409119},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4701433479785919},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4667504131793976},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4124416410923004},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3960150182247162},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3719244599342346},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3239145278930664},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21270978450775146},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1061844527721405},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08762520551681519},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07778599858283997},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/fuzzy.2010.5584205","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2010.5584205","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Conference on Fuzzy Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/16078","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/16078","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"},{"id":"pmh:oai:kclpure.kcl.ac.uk:publications/495372e4-863d-4ec1-a30e-33bc9f429491","is_oa":false,"landing_page_url":"https://kclpure.kcl.ac.uk/portal/en/publications/495372e4-863d-4ec1-a30e-33bc9f429491","pdf_url":null,"source":{"id":"https://openalex.org/S4306400216","display_name":"Research Portal (King's College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I183935753","host_organization_name":"King's College London","host_organization_lineage":["https://openalex.org/I183935753"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lam, H K, Narimani, M & Leung, F H F 2010, Stability Analysis and Stabilization of Polynomial Fuzzy-Model-Based Control Systems Using Piecewise Linear Membership Functions. in Unknown. 2010 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2010), NEW YORK, 2010 IEEE World Congress on Computational Intelligence, Barcelona, Spain, 18/07/2010.","raw_type":"contributionToPeriodical"},{"id":"pmh:oai:kclpure.kcl.ac.uk:publications/8b268f53-3be2-4218-b235-791c49acb9ce","is_oa":false,"landing_page_url":"https://kclpure.kcl.ac.uk/portal/en/publications/8b268f53-3be2-4218-b235-791c49acb9ce","pdf_url":null,"source":{"id":"https://openalex.org/S4306400216","display_name":"Research Portal (King's College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I183935753","host_organization_name":"King's College London","host_organization_lineage":["https://openalex.org/I183935753"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lam, H K, Narimani, M & Leung, F H F 2010, Stability analysis and stabilization of polynomial fuzzy-model-based control systems using piecewise linear membership functions. in Proc. of 2010 IEEE International Conference on Fuzzy Systems. pp. 2871 - 2878, 2010 IEEE International Conference on Fuzzy Systems, 1/01/2010.","raw_type":"contributionToPeriodical"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1974392705","https://openalex.org/W2007887484","https://openalex.org/W2034201789","https://openalex.org/W2046738003","https://openalex.org/W2068052921","https://openalex.org/W2079325629","https://openalex.org/W2092745108","https://openalex.org/W2097166675","https://openalex.org/W2106850246","https://openalex.org/W2107526949","https://openalex.org/W2107577395","https://openalex.org/W2115240537","https://openalex.org/W2115465093","https://openalex.org/W2122076516","https://openalex.org/W2122353585","https://openalex.org/W2129616157","https://openalex.org/W2132072116","https://openalex.org/W2132841646","https://openalex.org/W2135411176","https://openalex.org/W2143502897","https://openalex.org/W2148885430","https://openalex.org/W2149845256","https://openalex.org/W2164484193","https://openalex.org/W3210839039","https://openalex.org/W6684061903"],"related_works":["https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W3208509670","https://openalex.org/W2109304297","https://openalex.org/W2100864966","https://openalex.org/W2083709218","https://openalex.org/W1486684451","https://openalex.org/W2116249946"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"the":[3,32,35,43,48,56,68,72,102,120,137,144,155,162,167,179,196,202,205],"stability":[4,82,138,157,164,170,197],"analysis":[5,83,198],"of":[6,55,71,89,104,112,143,204],"polynomial":[7,15,44,57,73,77],"fuzzy-model-based":[8],"(PFMB)":[9],"control":[10,37,176],"system,":[11],"formed":[12],"by":[13,108],"a":[14,19,24,98,109,132],"fuzzy":[16,20,45,58,74,78],"model":[17,75],"and":[18,76,84,200],"controller":[21,46,79,85],"connected":[22],"in":[23],"closed":[25],"loop,":[26],"using":[27],"sum-of-squares":[28],"(SOS)":[29],"approach.":[30,207],"Unlike":[31],"published":[33],"work,":[34],"PFMB":[36,175],"system":[38],"is":[39,116,192],"not":[40,127],"required":[41],"that":[42,101,119],"shares":[47],"same":[49],"premises":[50],"membership":[51,62,69,95,105,123,147,183],"functions":[52,63,70,96,148,184],"as":[53],"those":[54],"model.":[59],"Piecewise":[60],"linear":[61,94,122,146,182],"are":[64,106,126,131,172],"employed":[65],"to":[66,80,134,151,154,174,194],"approximate":[67],"facilitate":[81],"synthesis":[86],"with":[87,178],"consideration":[88],"approximation":[90],"error.":[91],"The":[92,140],"piecewise":[93,121,145,181],"offer":[97],"nice":[99,141],"property":[100,142],"grades":[103],"governed":[107],"finite":[110],"number":[111],"sampled":[113],"points.":[114],"It":[115],"worth":[117],"mentioning":[118],"functions,":[124],"which":[125],"necessarily":[128],"implemented":[129],"physically,":[130],"tool":[133],"carry":[135],"out":[136],"analysis.":[139],"allows":[149],"them":[150],"be":[152],"brought":[153],"SOS-based":[156,169],"conditions":[158,171],"derived":[159],"based":[160],"on":[161],"Lyapunov":[163],"theory.":[165],"Consequently,":[166],"proposed":[168,206],"applied":[173],"systems":[177],"specified":[180],"rather":[185],"than":[186],"any":[187],"shapes.":[188],"A":[189],"simulation":[190],"example":[191],"given":[193],"verify":[195],"results":[199],"demonstrate":[201],"effectiveness":[203]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
