{"id":"https://openalex.org/W3112105140","doi":"https://doi.org/10.1155/2020/8835511","title":"T-S Fuzzy System Controller for Stabilizing the Double Inverted Pendulum","display_name":"T-S Fuzzy System Controller for Stabilizing the Double Inverted Pendulum","publication_year":2020,"publication_date":"2020-12-05","ids":{"openalex":"https://openalex.org/W3112105140","doi":"https://doi.org/10.1155/2020/8835511","mag":"3112105140"},"language":"en","primary_location":{"id":"doi:10.1155/2020/8835511","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/8835511","pdf_url":"https://downloads.hindawi.com/journals/afs/2020/8835511.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/afs/2020/8835511.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020696028","display_name":"Boutaina Elkinany","orcid":"https://orcid.org/0000-0002-3100-1407"},"institutions":[{"id":"https://openalex.org/I81605866","display_name":"Sidi Mohamed Ben Abdellah University","ror":"https://ror.org/04efg9a07","country_code":"MA","type":"education","lineage":["https://openalex.org/I81605866"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"Boutaina Elkinany","raw_affiliation_strings":["Laboratory of Engineering Systems and Applications, Sidi Mohammed Ben Abdellah University, Fez, Morocco"],"raw_orcid":"https://orcid.org/0000-0002-3100-1407","affiliations":[{"raw_affiliation_string":"Laboratory of Engineering Systems and Applications, Sidi Mohammed Ben Abdellah University, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103036760","display_name":"Mohammed Alfidi","orcid":null},"institutions":[{"id":"https://openalex.org/I81605866","display_name":"Sidi Mohamed Ben Abdellah University","ror":"https://ror.org/04efg9a07","country_code":"MA","type":"education","lineage":["https://openalex.org/I81605866"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Mohammed Alfidi","raw_affiliation_strings":["Laboratory of Engineering Systems and Applications, Sidi Mohammed Ben Abdellah University, Fez, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Engineering Systems and Applications, Sidi Mohammed Ben Abdellah University, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005928308","display_name":"Redouane Chaibi","orcid":null},"institutions":[{"id":"https://openalex.org/I81605866","display_name":"Sidi Mohamed Ben Abdellah University","ror":"https://ror.org/04efg9a07","country_code":"MA","type":"education","lineage":["https://openalex.org/I81605866"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Redouane Chaibi","raw_affiliation_strings":["Department of Physics, Sidi Mohammed Ben Abdellah University, LESSI, Fez, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Sidi Mohammed Ben Abdellah University, LESSI, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030418258","display_name":"Zakaria Chalh","orcid":"https://orcid.org/0000-0003-0838-4152"},"institutions":[{"id":"https://openalex.org/I81605866","display_name":"Sidi Mohamed Ben Abdellah University","ror":"https://ror.org/04efg9a07","country_code":"MA","type":"education","lineage":["https://openalex.org/I81605866"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Zakaria Chalh","raw_affiliation_strings":["Laboratory of Engineering Systems and Applications, Sidi Mohammed Ben Abdellah University, Fez, Morocco"],"raw_orcid":"https://orcid.org/0000-0003-0838-4152","affiliations":[{"raw_affiliation_string":"Laboratory of Engineering Systems and Applications, Sidi Mohammed Ben Abdellah University, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020696028"],"corresponding_institution_ids":["https://openalex.org/I81605866"],"apc_list":{"value":900,"currency":"USD","value_usd":900},"apc_paid":{"value":900,"currency":"USD","value_usd":900},"fwci":0.5831,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.68058593,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9918000102043152,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9918000102043152,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9800999760627747,"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9783999919891357,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/inverted-pendulum","display_name":"Inverted pendulum","score":0.8380734920501709},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7344218492507935},{"id":"https://openalex.org/keywords/double-inverted-pendulum","display_name":"Double inverted pendulum","score":0.7253046631813049},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6256617307662964},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.5810621380805969},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5662227869033813},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5412315130233765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5310196280479431},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.4452214241027832},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4268170893192291},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.354468435049057},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18281814455986023},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11450904607772827},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1116723120212555}],"concepts":[{"id":"https://openalex.org/C192921069","wikidata":"https://www.wikidata.org/wiki/Q550134","display_name":"Inverted pendulum","level":3,"score":0.8380734920501709},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7344218492507935},{"id":"https://openalex.org/C102540577","wikidata":"https://www.wikidata.org/wiki/Q5300047","display_name":"Double inverted pendulum","level":4,"score":0.7253046631813049},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6256617307662964},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.5810621380805969},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5662227869033813},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5412315130233765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5310196280479431},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.4452214241027832},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4268170893192291},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.354468435049057},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18281814455986023},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11450904607772827},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1116723120212555},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2020/8835511","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/8835511","pdf_url":"https://downloads.hindawi.com/journals/afs/2020/8835511.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:af4f2c6b35fb472587285d7da2c3d263","is_oa":true,"landing_page_url":"https://doaj.org/article/af4f2c6b35fb472587285d7da2c3d263","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":"Advances in Fuzzy Systems, Vol 2020 (2020)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2020/8835511","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8835511","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2020/8835511","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/8835511","pdf_url":"https://downloads.hindawi.com/journals/afs/2020/8835511.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3112105140.pdf","grobid_xml":"https://content.openalex.org/works/W3112105140.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W72401102","https://openalex.org/W181873387","https://openalex.org/W941261418","https://openalex.org/W1584088034","https://openalex.org/W1984761959","https://openalex.org/W1988351889","https://openalex.org/W1990962137","https://openalex.org/W2018737981","https://openalex.org/W2055495295","https://openalex.org/W2093340300","https://openalex.org/W2135448912","https://openalex.org/W2145666015","https://openalex.org/W2170002965","https://openalex.org/W2258142790","https://openalex.org/W2607738895","https://openalex.org/W2766814838","https://openalex.org/W2811222295","https://openalex.org/W2952631508","https://openalex.org/W2955778868","https://openalex.org/W2979638595","https://openalex.org/W3000327517","https://openalex.org/W3024266498","https://openalex.org/W3038957493"],"related_works":["https://openalex.org/W2024927487","https://openalex.org/W1492838287","https://openalex.org/W2349578589","https://openalex.org/W2034778971","https://openalex.org/W2893549521","https://openalex.org/W2612646280","https://openalex.org/W2381121570","https://openalex.org/W2379721524","https://openalex.org/W2341932412","https://openalex.org/W2159724666"],"abstract_inverted_index":{"This":[0],"article":[1],"provides":[2],"a":[3,55,65,93,149,171],"representation":[4,68],"of":[5,28,59,132,144,155,165],"the":[6,22,26,29,37,43,47,60,71,79,86,121,133,142,145,152,156,163,166,178,184],"double":[7,38,61],"inverted":[8,39,62,134],"pendulum":[9,40,63],"system":[10,146,157],"that":[11,32,183],"is":[12,189],"shaped":[13],"and":[14,64,90,124,192],"regulated":[15],"in":[16,117,199],"response":[17],"to":[18,84,91,113,119,125,140,158],"torque":[19],"application":[20],"at":[21],"top":[23],"rather":[24],"than":[25],"bottom":[27],"pendulum,":[30,135],"given":[31,109],"most":[33],"researchers":[34],"have":[35,169,181],"controlled":[36],"based":[41,69],"on":[42,70,151],"lower":[44],"part":[45,154],"or":[46],"base.":[48],"To":[49],"achieve":[50],"this":[51],"objective,":[52],"we":[53,77,136,168],"designed":[54],"dynamic":[56],"Lagrangian":[57],"conceptualization":[58,131],"state":[66,81,172,186],"feedback":[67,82,173,187],"simple":[72],"convex":[73],"polytypic":[74],"transformation.":[75],"Finally,":[76],"used":[78,137],"fuzzy":[80,94,174,185],"approach":[83],"linearize":[85],"mathematical":[87],"nonlinear":[88,115],"model":[89,188],"develop":[92],"controller":[95],"<math":[96],"xmlns=\"http://www.w3.org/1998/Math/MathML\"":[97],"id=\"M1\">":[98],"<msub>":[99],"<mrow>":[100,103],"<mi>H</mi>":[101],"</mrow>":[102,105],"<mi>\u221e</mi>":[104],"</msub>":[106],"</math>":[107],",":[108],"its":[110,160],"great":[111],"ability":[112],"simplify":[114],"systems":[116],"order":[118],"reduce":[120],"error":[122],"rate":[123],"increase":[126],"precision.":[127],"In":[128],"our":[129],"virtual":[130],"MATLAB":[138],"software":[139],"simulate":[141],"movement":[143],"before":[147],"applying":[148],"command":[150],"upper":[153],"check":[159],"stability.":[161],"Concerning":[162],"nonlinearities":[164],"system,":[167],"found":[170],"control":[175],"approach.":[176],"Overall,":[177],"simulation":[179],"results":[180],"shown":[182],"very":[190],"efficient":[191],"flexible":[193],"as":[194],"it":[195],"can":[196],"be":[197],"modified":[198],"different":[200],"positions.":[201]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
