{"id":"https://openalex.org/W4391769216","doi":"https://doi.org/10.1109/icceic60201.2023.10426665","title":"Legendre pseudo-spectral method for solving the optimal starting pendulum of a rotating inverted pendulum","display_name":"Legendre pseudo-spectral method for solving the optimal starting pendulum of a rotating inverted pendulum","publication_year":2023,"publication_date":"2023-10-20","ids":{"openalex":"https://openalex.org/W4391769216","doi":"https://doi.org/10.1109/icceic60201.2023.10426665"},"language":"en","primary_location":{"id":"doi:10.1109/icceic60201.2023.10426665","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/icceic60201.2023.10426665","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 4th International Conference on Computer Engineering and Intelligent Control (ICCEIC)","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/A5113117974","display_name":"Yacheng Qiu","orcid":null},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]},{"id":"https://openalex.org/I4210089285","display_name":"Ji Hua Laboratory","ror":"https://ror.org/006aydy55","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210089285"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yacheng Qiu","raw_affiliation_strings":["Jihua Laboratory Jihua Medical Institute,Foshan,China","college of Semiconductor Science and Technology, South China Normal University, Foshan, China","Jihua Laboratory Jihua Medical Institute, Foshan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jihua Laboratory Jihua Medical Institute,Foshan,China","institution_ids":["https://openalex.org/I4210089285"]},{"raw_affiliation_string":"college of Semiconductor Science and Technology, South China Normal University, Foshan, China","institution_ids":["https://openalex.org/I187400657"]},{"raw_affiliation_string":"Jihua Laboratory Jihua Medical Institute, Foshan, China","institution_ids":["https://openalex.org/I4210089285"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017234373","display_name":"Xinzui Wang","orcid":"https://orcid.org/0000-0002-2562-2987"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210089285","display_name":"Ji Hua Laboratory","ror":"https://ror.org/006aydy55","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210089285"]},{"id":"https://openalex.org/I4210092817","display_name":"Suzhou Institute of Biomedical Engineering and Technology","ror":"https://ror.org/00f58mx93","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210092817"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinzui Wang","raw_affiliation_strings":["Jihua Laboratory Jihua Medical Institute,Foshan,China","Chinese Academy of Sciences Suzhou Institute of Biomedical Engineering and Technology, Suzhou, China","Jihua Laboratory Jihua Medical Institute, Foshan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jihua Laboratory Jihua Medical Institute,Foshan,China","institution_ids":["https://openalex.org/I4210089285"]},{"raw_affiliation_string":"Chinese Academy of Sciences Suzhou Institute of Biomedical Engineering and Technology, Suzhou, China","institution_ids":["https://openalex.org/I4210092817","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Jihua Laboratory Jihua Medical Institute, Foshan, China","institution_ids":["https://openalex.org/I4210089285"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065831364","display_name":"Fucheng Cao","orcid":null},"institutions":[{"id":"https://openalex.org/I4210089285","display_name":"Ji Hua Laboratory","ror":"https://ror.org/006aydy55","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210089285"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fucheng Cao","raw_affiliation_strings":["Jihua Laboratory Jihua Medical Institute,Foshan,China","Jihua Laboratory Jihua Medical Institute, Foshan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jihua Laboratory Jihua Medical Institute,Foshan,China","institution_ids":["https://openalex.org/I4210089285"]},{"raw_affiliation_string":"Jihua Laboratory Jihua Medical Institute, Foshan, China","institution_ids":["https://openalex.org/I4210089285"]}]},{"author_position":"last","author":{"id":null,"display_name":"Shichen Su","orcid":null},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shichen Su","raw_affiliation_strings":["South China Normal University,college of Semiconductor Science and Technology,Foshan,China","college of Semiconductor Science and Technology, South China Normal University, Foshan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"South China Normal University,college of Semiconductor Science and Technology,Foshan,China","institution_ids":["https://openalex.org/I187400657"]},{"raw_affiliation_string":"college of Semiconductor Science and Technology, South China Normal University, Foshan, China","institution_ids":["https://openalex.org/I187400657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.31582749,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":null,"first_page":"69","last_page":"73"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T12158","display_name":"Guidance and Control Systems","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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":0.8839501738548279},{"id":"https://openalex.org/keywords/double-inverted-pendulum","display_name":"Double inverted pendulum","score":0.6202391386032104},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.5871536135673523},{"id":"https://openalex.org/keywords/double-pendulum","display_name":"Double pendulum","score":0.5790213346481323},{"id":"https://openalex.org/keywords/furuta-pendulum","display_name":"Furuta pendulum","score":0.5404314994812012},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5220220685005188},{"id":"https://openalex.org/keywords/kapitzas-pendulum","display_name":"Kapitza's pendulum","score":0.5185192823410034},{"id":"https://openalex.org/keywords/pendulum","display_name":"Pendulum","score":0.49309036135673523},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4661117196083069},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3915949761867523},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.381877601146698},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35957980155944824},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2516482472419739},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11371147632598877},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.085410475730896}],"concepts":[{"id":"https://openalex.org/C192921069","wikidata":"https://www.wikidata.org/wiki/Q550134","display_name":"Inverted pendulum","level":3,"score":0.8839501738548279},{"id":"https://openalex.org/C102540577","wikidata":"https://www.wikidata.org/wiki/Q5300047","display_name":"Double inverted pendulum","level":4,"score":0.6202391386032104},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.5871536135673523},{"id":"https://openalex.org/C167183279","wikidata":"https://www.wikidata.org/wiki/Q1243208","display_name":"Double pendulum","level":4,"score":0.5790213346481323},{"id":"https://openalex.org/C191601290","wikidata":"https://www.wikidata.org/wiki/Q5509824","display_name":"Furuta pendulum","level":5,"score":0.5404314994812012},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5220220685005188},{"id":"https://openalex.org/C152442685","wikidata":"https://www.wikidata.org/wiki/Q4286430","display_name":"Kapitza's pendulum","level":5,"score":0.5185192823410034},{"id":"https://openalex.org/C110639684","wikidata":"https://www.wikidata.org/wiki/Q20702","display_name":"Pendulum","level":2,"score":0.49309036135673523},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4661117196083069},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3915949761867523},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.381877601146698},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35957980155944824},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2516482472419739},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11371147632598877},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.085410475730896},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icceic60201.2023.10426665","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/icceic60201.2023.10426665","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 4th International Conference on Computer Engineering and Intelligent Control (ICCEIC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1490180844","https://openalex.org/W1967655693","https://openalex.org/W2004664957","https://openalex.org/W2019459464","https://openalex.org/W2026570525","https://openalex.org/W2046732389","https://openalex.org/W2220608722","https://openalex.org/W2262374270","https://openalex.org/W2961703895","https://openalex.org/W2993110525"],"related_works":["https://openalex.org/W2605534565","https://openalex.org/W2949841909","https://openalex.org/W4300467530","https://openalex.org/W3216306759","https://openalex.org/W2102921610","https://openalex.org/W3090237748","https://openalex.org/W2041698009","https://openalex.org/W2117191196","https://openalex.org/W2766253615","https://openalex.org/W941261418"],"abstract_inverted_index":{"The":[0,33,69,83],"inverted":[1,19,25],"pendulum":[2,26],"is":[3,27,38,76],"an":[4],"underdriven":[5],"system":[6],"with":[7],"multivariable,":[8],"nonlinear":[9,42],"and":[10,95,97],"strong":[11],"coupling.":[12],"For":[13],"the":[14,21,49,53,79,88],"time-optimal":[15],"swing":[16],"problem":[17,36,44,66,75],"of":[18,24,55,71],"pendulum,":[20],"mathematical":[22],"model":[23],"established":[28],"by":[29,48,78],"generalized":[30],"projection":[31],"method.":[32,51],"optimal":[34,64,73,104],"control":[35,65,74,105],"(OCP)":[37],"transformed":[39],"into":[40,61],"a":[41,62],"programming":[43],"(NLP)":[45],"for":[46,59],"solving":[47,102],"pseudo-spectral":[50,57,89],"And":[52],"steps":[54],"Legendre\u2019s":[56],"method":[58,90],"transforming":[60],"Bolza-type":[63],"are":[67],"summarized.":[68],"solution":[70],"this":[72],"realized":[77],"MATLAB":[80],"toolbox":[81],"OptimTraj.":[82],"experimental":[84],"results":[85,100],"show":[86],"that":[87],"has":[91,98],"better":[92],"computational":[93],"efficiency":[94],"speed,":[96],"good":[99],"in":[101],"complex":[103],"problems.":[106]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}