{"id":"https://openalex.org/W2134992870","doi":"https://doi.org/10.2478/v10006-007-0021-4","title":"Fuzzy Feedback Linearizing Controller and Its Equivalence With the Fuzzy Nonlinear Internal Model Control Structure","display_name":"Fuzzy Feedback Linearizing Controller and Its Equivalence With the Fuzzy Nonlinear Internal Model Control Structure","publication_year":2007,"publication_date":"2007-06-01","ids":{"openalex":"https://openalex.org/W2134992870","doi":"https://doi.org/10.2478/v10006-007-0021-4","mag":"2134992870"},"language":"en","primary_location":{"id":"doi:10.2478/v10006-007-0021-4","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0021-4","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0021-4","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.2478/v10006-007-0021-4","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046741202","display_name":"Reda Boukezzoula","orcid":"https://orcid.org/0000-0002-0451-8945"},"institutions":[{"id":"https://openalex.org/I4210099807","display_name":"Laboratoire d'Annecy-le-Vieux de Physique Th\u00e9orique","ror":"https://ror.org/010hz2d37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210099807","https://openalex.org/I70900168"]},{"id":"https://openalex.org/I70900168","display_name":"Universit\u00e9 Savoie Mont Blanc","ror":"https://ror.org/04gqg1a07","country_code":"FR","type":"education","lineage":["https://openalex.org/I70900168"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Reda Boukezzoula","raw_affiliation_strings":["Laboratoire d'Informatique, Systmes, Traitement de l'Information et de la Connaissance Universit de Savoie, B.P. 80439, 74944 Annecy le Vieux Cedex, France","Laboratoire d'Informatique, Syst\u00e8mes, Traitement de l'Information et de la Connaissance, Universit\u00e9 de Savoie, B.P. 80439, 74944 Annecy le Vieux Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique, Systmes, Traitement de l'Information et de la Connaissance Universit de Savoie, B.P. 80439, 74944 Annecy le Vieux Cedex, France","institution_ids":["https://openalex.org/I4210099807"]},{"raw_affiliation_string":"Laboratoire d'Informatique, Syst\u00e8mes, Traitement de l'Information et de la Connaissance, Universit\u00e9 de Savoie, B.P. 80439, 74944 Annecy le Vieux Cedex, France#TAB#","institution_ids":["https://openalex.org/I70900168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035432142","display_name":"Sylvie Galichet","orcid":"https://orcid.org/0000-0002-5745-6805"},"institutions":[{"id":"https://openalex.org/I70900168","display_name":"Universit\u00e9 Savoie Mont Blanc","ror":"https://ror.org/04gqg1a07","country_code":"FR","type":"education","lineage":["https://openalex.org/I70900168"]},{"id":"https://openalex.org/I4210099807","display_name":"Laboratoire d'Annecy-le-Vieux de Physique Th\u00e9orique","ror":"https://ror.org/010hz2d37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210099807","https://openalex.org/I70900168"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sylvie Galichet","raw_affiliation_strings":["Laboratoire d'Informatique, Systmes, Traitement de l'Information et de la Connaissance Universit de Savoie, B.P. 80439, 74944 Annecy le Vieux Cedex, France","Laboratoire d'Informatique, Syst\u00e8mes, Traitement de l'Information et de la Connaissance, Universit\u00e9 de Savoie, B.P. 80439, 74944 Annecy le Vieux Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique, Systmes, Traitement de l'Information et de la Connaissance Universit de Savoie, B.P. 80439, 74944 Annecy le Vieux Cedex, France","institution_ids":["https://openalex.org/I4210099807"]},{"raw_affiliation_string":"Laboratoire d'Informatique, Syst\u00e8mes, Traitement de l'Information et de la Connaissance, Universit\u00e9 de Savoie, B.P. 80439, 74944 Annecy le Vieux Cedex, France#TAB#","institution_ids":["https://openalex.org/I70900168"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083245722","display_name":"Laurent Foulloy","orcid":null},"institutions":[{"id":"https://openalex.org/I70900168","display_name":"Universit\u00e9 Savoie Mont Blanc","ror":"https://ror.org/04gqg1a07","country_code":"FR","type":"education","lineage":["https://openalex.org/I70900168"]},{"id":"https://openalex.org/I4210099807","display_name":"Laboratoire d'Annecy-le-Vieux de Physique Th\u00e9orique","ror":"https://ror.org/010hz2d37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210099807","https://openalex.org/I70900168"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Foulloy","raw_affiliation_strings":["Laboratoire d'Informatique, Systmes, Traitement de l'Information et de la Connaissance Universit de Savoie, B.P. 80439, 74944 Annecy le Vieux Cedex, France","Laboratoire d'Informatique, Syst\u00e8mes, Traitement de l'Information et de la Connaissance, Universit\u00e9 de Savoie, B.P. 80439, 74944 Annecy le Vieux Cedex, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique, Systmes, Traitement de l'Information et de la Connaissance Universit de Savoie, B.P. 80439, 74944 Annecy le Vieux Cedex, France","institution_ids":["https://openalex.org/I4210099807"]},{"raw_affiliation_string":"Laboratoire d'Informatique, Syst\u00e8mes, Traitement de l'Information et de la Connaissance, Universit\u00e9 de Savoie, B.P. 80439, 74944 Annecy le Vieux Cedex, France#TAB#","institution_ids":["https://openalex.org/I70900168"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046741202"],"corresponding_institution_ids":["https://openalex.org/I4210099807","https://openalex.org/I70900168"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":2.9018,"has_fulltext":true,"cited_by_count":28,"citation_normalized_percentile":{"value":0.91784449,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"17","issue":"2","first_page":"233","last_page":"248"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9991999864578247,"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":0.9991999864578247,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9991000294685364,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9948999881744385,"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":0.8325042724609375},{"id":"https://openalex.org/keywords/feedback-linearization","display_name":"Feedback linearization","score":0.674602746963501},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6609000563621521},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6348688006401062},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.6086170077323914},{"id":"https://openalex.org/keywords/internal-model","display_name":"Internal model","score":0.582506537437439},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5124838352203369},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.4983055591583252},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4895056486129761},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.4565022885799408},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4557170867919922},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.43499141931533813},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3534088134765625},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.33042964339256287},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.27925097942352295},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17583927512168884},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09777340292930603}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8325042724609375},{"id":"https://openalex.org/C85736874","wikidata":"https://www.wikidata.org/wiki/Q672139","display_name":"Feedback linearization","level":3,"score":0.674602746963501},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6609000563621521},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6348688006401062},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.6086170077323914},{"id":"https://openalex.org/C28427503","wikidata":"https://www.wikidata.org/wiki/Q13580300","display_name":"Internal model","level":3,"score":0.582506537437439},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5124838352203369},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.4983055591583252},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4895056486129761},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.4565022885799408},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4557170867919922},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.43499141931533813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3534088134765625},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.33042964339256287},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.27925097942352295},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17583927512168884},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09777340292930603},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2478/v10006-007-0021-4","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0021-4","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0021-4","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.119.1343","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.119.1343","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://matwbn.icm.edu.pl/ksiazki/amc/amc17/amc1729.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00412998v1","is_oa":false,"landing_page_url":"https://univ-smb.hal.science/hal-00412998","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Applied Mathematics and Computer Science, 2007, 17 (2), pp.233-248. &#x27E8;10.2478/v10006-007-0021-4&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:zbc.uz.zgora.pl:78651","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=78651","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=papers&issue=28","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.2478/v10006-007-0021-4","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0021-4","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0021-4","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2134992870.pdf","grobid_xml":"https://content.openalex.org/works/W2134992870.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W4225364","https://openalex.org/W82072587","https://openalex.org/W1487127700","https://openalex.org/W1560688497","https://openalex.org/W1569189826","https://openalex.org/W1604822211","https://openalex.org/W1983045703","https://openalex.org/W1984481057","https://openalex.org/W1996162276","https://openalex.org/W1996340840","https://openalex.org/W2001410250","https://openalex.org/W2015520899","https://openalex.org/W2032200070","https://openalex.org/W2035895994","https://openalex.org/W2053409436","https://openalex.org/W2064189996","https://openalex.org/W2065208924","https://openalex.org/W2090013042","https://openalex.org/W2091313737","https://openalex.org/W2094238924","https://openalex.org/W2096198678","https://openalex.org/W2100288218","https://openalex.org/W2104346286","https://openalex.org/W2105103816","https://openalex.org/W2107277660","https://openalex.org/W2108640393","https://openalex.org/W2114574868","https://openalex.org/W2117370805","https://openalex.org/W2119467462","https://openalex.org/W2120081337","https://openalex.org/W2126349127","https://openalex.org/W2128916869","https://openalex.org/W2130704184","https://openalex.org/W2136492299","https://openalex.org/W2138484437","https://openalex.org/W2142896183","https://openalex.org/W2145849864","https://openalex.org/W2153649435","https://openalex.org/W2154658417","https://openalex.org/W2160044392","https://openalex.org/W2161423475","https://openalex.org/W2163928763","https://openalex.org/W2166985410","https://openalex.org/W2940460024","https://openalex.org/W4233391551"],"related_works":["https://openalex.org/W2349527210","https://openalex.org/W1998462347","https://openalex.org/W1836713364","https://openalex.org/W2141603307","https://openalex.org/W2899783744","https://openalex.org/W2964841342","https://openalex.org/W2131265573","https://openalex.org/W4300511988","https://openalex.org/W2381676799","https://openalex.org/W2912982761"],"abstract_inverted_index":{"Fuzzy":[0,9],"Feedback":[1],"Linearizing":[2],"Controller":[3],"and":[4,84,108],"Its":[5],"Equivalence":[6],"With":[7],"the":[8,18,36,46,72,93,103,115],"Nonlinear":[10,85],"Internal":[11,86],"Model":[12,87],"Control":[13,88],"Structure":[14],"This":[15],"paper":[16,94],"examines":[17],"inverse":[19,74],"control":[20,75,79,104],"problem":[21],"of":[22,38,71,102,117],"nonlinear":[23,44,47],"systems":[24,40],"with":[25],"stable":[26],"dynamics":[27],"using":[28],"a":[29,52,65,111],"fuzzy":[30,39,57,66],"modeling":[31],"approach.":[32],"Indeed,":[33],"based":[34],"on":[35],"ability":[37],"to":[41],"approximate":[42],"any":[43],"mapping,":[45],"system":[48],"is":[49,60],"represented":[50],"by":[51],"Takagi-Sugeno":[53],"(":[54],"TS":[55],")":[56],"system,":[58],"which":[59],"then":[61],"inverted":[62],"for":[63],"designing":[64],"controller.":[67],"As":[68],"an":[69],"application":[70],"proposed":[73],"methodology,":[76],"two":[77],"popular":[78],"structures,":[80],"namely,":[81],"feedback":[82],"linearization":[83],"(NIMC)":[89],"are":[90,106],"investigated.":[91],"Moreover,":[92],"points":[95],"out":[96],"that,":[97],"under":[98],"some":[99],"conditions,":[100],"both":[101],"structures":[105],"equivalent":[107],"naturally":[109],"implement":[110],"Smith":[112],"predictor":[113],"in":[114],"presence":[116],"time":[118],"delays.":[119]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
