{"id":"https://openalex.org/W2006833145","doi":"https://doi.org/10.1109/grc.2012.6468660","title":"LQR optimal control of triple inverted pendulum based on fuzzy quotient space theory","display_name":"LQR optimal control of triple inverted pendulum based on fuzzy quotient space theory","publication_year":2012,"publication_date":"2012-08-01","ids":{"openalex":"https://openalex.org/W2006833145","doi":"https://doi.org/10.1109/grc.2012.6468660","mag":"2006833145"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2012.6468660","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2012.6468660","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Granular Computing","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/A5042197055","display_name":"C.J. Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I4472751","display_name":"Anhui Normal University","ror":"https://ror.org/05fsfvw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I4472751"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"C.J. Zhang","raw_affiliation_strings":["Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhan, China","Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhu 241000, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhan, China","institution_ids":["https://openalex.org/I4472751"]},{"raw_affiliation_string":"Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhu 241000, China#TAB#","institution_ids":["https://openalex.org/I4472751"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111634930","display_name":"Chuangfei Bai","orcid":null},"institutions":[{"id":"https://openalex.org/I4472751","display_name":"Anhui Normal University","ror":"https://ror.org/05fsfvw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I4472751"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"C.Y. Bai","raw_affiliation_strings":["Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhan, China","Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhu 241000, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhan, China","institution_ids":["https://openalex.org/I4472751"]},{"raw_affiliation_string":"Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhu 241000, China#TAB#","institution_ids":["https://openalex.org/I4472751"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049726719","display_name":"Yan Ding","orcid":null},"institutions":[{"id":"https://openalex.org/I4472751","display_name":"Anhui Normal University","ror":"https://ror.org/05fsfvw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I4472751"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Y .Y. Ding","raw_affiliation_strings":["Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhan, China","Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhu 241000, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhan, China","institution_ids":["https://openalex.org/I4472751"]},{"raw_affiliation_string":"Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhu 241000, China#TAB#","institution_ids":["https://openalex.org/I4472751"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109117870","display_name":"Qing-lin ZHANG","orcid":null},"institutions":[{"id":"https://openalex.org/I4472751","display_name":"Anhui Normal University","ror":"https://ror.org/05fsfvw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I4472751"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Q. Zhang","raw_affiliation_strings":["Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhan, China","Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhu 241000, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhan, China","institution_ids":["https://openalex.org/I4472751"]},{"raw_affiliation_string":"Center for the Study of Intelligent Control and Measure Technique, Anhui Normal University, Wuhu 241000, China#TAB#","institution_ids":["https://openalex.org/I4472751"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5042197055"],"corresponding_institution_ids":["https://openalex.org/I4472751"],"apc_list":null,"apc_paid":null,"fwci":1.1261,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.81473231,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"633","last_page":"638"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9990000128746033,"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":0.9990000128746033,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9976999759674072,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9947999715805054,"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/inverted-pendulum","display_name":"Inverted pendulum","score":0.8883980512619019},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6932679414749146},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.6192853450775146},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6161419153213501},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5760701894760132},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.5475675463676453},{"id":"https://openalex.org/keywords/quotient-space","display_name":"Quotient space (topology)","score":0.522427499294281},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4912187457084656},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.43954458832740784},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4369525909423828},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.4237833321094513},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4234107732772827},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.41528090834617615},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2719709277153015},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1762433648109436},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15240365266799927}],"concepts":[{"id":"https://openalex.org/C192921069","wikidata":"https://www.wikidata.org/wiki/Q550134","display_name":"Inverted pendulum","level":3,"score":0.8883980512619019},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6932679414749146},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.6192853450775146},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6161419153213501},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5760701894760132},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.5475675463676453},{"id":"https://openalex.org/C40753290","wikidata":"https://www.wikidata.org/wiki/Q1139111","display_name":"Quotient space (topology)","level":3,"score":0.522427499294281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4912187457084656},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.43954458832740784},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4369525909423828},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.4237833321094513},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4234107732772827},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.41528090834617615},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2719709277153015},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1762433648109436},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15240365266799927},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2012.6468660","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2012.6468660","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Granular Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2028269341","https://openalex.org/W2083778946","https://openalex.org/W2118141318","https://openalex.org/W2134041927","https://openalex.org/W2151341746","https://openalex.org/W2162097612","https://openalex.org/W2353814909","https://openalex.org/W2358623359","https://openalex.org/W2381626454","https://openalex.org/W7033692871"],"related_works":["https://openalex.org/W1975179576","https://openalex.org/W2042649637","https://openalex.org/W4237086259","https://openalex.org/W1584507652","https://openalex.org/W2159724666","https://openalex.org/W2948542527","https://openalex.org/W4295535217","https://openalex.org/W4300528480","https://openalex.org/W2058459694","https://openalex.org/W2018938659"],"abstract_inverted_index":{"Inverted":[0],"pendulum":[1],"is":[2,79],"a":[3],"typical":[4],"object":[5],"for":[6],"intelligent":[7],"control.":[8],"Aiming":[9],"at":[10],"the":[11,15,22,49,65,68,82],"blindness":[12],"in":[13,33],"choosing":[14],"weight":[16],"matrices":[17,27],"Q":[18],"and":[19,81,88],"R":[20],"during":[21],"LQR":[23],"control":[24,38,52,70,86],"process,":[25],"these":[26],"are":[28,40],"optimized":[29,41],"by":[30,42],"genetic":[31],"algorithm":[32],"this":[34,77],"paper,.":[35],"The":[36,72],"fuzzy":[37,69],"rules":[39],"using":[43],"information":[44],"fusion":[45],"function":[46],"to":[47,54],"change":[48],"single":[50],"complex":[51],"policy":[53],"hierarchical":[55],"ones":[56],"based":[57],"on":[58],"quotient":[59],"space,":[60],"which":[61],"can":[62],"greatly":[63],"decrease":[64],"dimension":[66],"of":[67],"rules.":[71],"simulation":[73],"results":[74],"show":[75],"that":[76],"method":[78],"feasible":[80],"system":[83],"performs":[84],"favorable":[85],"effect":[87],"dynamic":[89],"properties.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}