{"id":"https://openalex.org/W4283721958","doi":"https://doi.org/10.1109/codit55151.2022.9804142","title":"Using a Direct Multiple Shooting Method to Control a Quadrotor","display_name":"Using a Direct Multiple Shooting Method to Control a Quadrotor","publication_year":2022,"publication_date":"2022-05-17","ids":{"openalex":"https://openalex.org/W4283721958","doi":"https://doi.org/10.1109/codit55151.2022.9804142"},"language":"en","primary_location":{"id":"doi:10.1109/codit55151.2022.9804142","is_oa":false,"landing_page_url":"https://doi.org/10.1109/codit55151.2022.9804142","pdf_url":null,"source":{"id":"https://openalex.org/S4363607900","display_name":"2022 8th International Conference on Control, Decision and Information Technologies (CoDIT)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 8th International Conference on Control, Decision and Information Technologies (CoDIT)","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/A5008382373","display_name":"Kahina Louadj","orcid":"https://orcid.org/0000-0002-4203-6357"},"institutions":[{"id":"https://openalex.org/I3129390127","display_name":"University of Bouira","ror":"https://ror.org/00vsxg936","country_code":"DZ","type":"education","lineage":["https://openalex.org/I3129390127"]},{"id":"https://openalex.org/I4210159538","display_name":"Mouloud Mammeri University of Tizi-Ouzou","ror":"https://ror.org/050ktqq97","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210159538"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Kahina Louadj","raw_affiliation_strings":["Laboratoire de Conception et Conduite des systemes de Production UMMTO,Tizi-Ouzou,Algeria","Akli Mohand Oulhadi University, Bouira, Algeria","Laboratoire de Conception et Conduite des systemes de Production UMMTO, Tizi-Ouzou, Algeria"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Conception et Conduite des systemes de Production UMMTO,Tizi-Ouzou,Algeria","institution_ids":["https://openalex.org/I4210159538"]},{"raw_affiliation_string":"Akli Mohand Oulhadi University, Bouira, Algeria","institution_ids":["https://openalex.org/I3129390127"]},{"raw_affiliation_string":"Laboratoire de Conception et Conduite des systemes de Production UMMTO, Tizi-Ouzou, Algeria","institution_ids":["https://openalex.org/I4210159538"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009555800","display_name":"Philippe Marthon","orcid":null},"institutions":[{"id":"https://openalex.org/I4387153255","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'\u00c9lectrotechnique, d'\u00c9lectronique, d'Informatique, d'Hydraulique et des T\u00e9l\u00e9communications","ror":"https://ror.org/05wfw4946","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304","https://openalex.org/I4387153255","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I205747304","display_name":"Institut National Polytechnique de Toulouse","ror":"https://ror.org/033p9g875","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Philippe Marthon","raw_affiliation_strings":["Federal University of Toulouse Midi-Pyr&#x00E9;n&#x00E9;es, ENSEEIHT Site of the Toulouse Research Institute in Computer Science.,France"],"affiliations":[{"raw_affiliation_string":"Federal University of Toulouse Midi-Pyr&#x00E9;n&#x00E9;es, ENSEEIHT Site of the Toulouse Research Institute in Computer Science.,France","institution_ids":["https://openalex.org/I205747304","https://openalex.org/I4387153255"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083670906","display_name":"Philippe Papaix","orcid":null},"institutions":[{"id":"https://openalex.org/I205747304","display_name":"Institut National Polytechnique de Toulouse","ror":"https://ror.org/033p9g875","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I4387153255","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'\u00c9lectrotechnique, d'\u00c9lectronique, d'Informatique, d'Hydraulique et des T\u00e9l\u00e9communications","ror":"https://ror.org/05wfw4946","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304","https://openalex.org/I4387153255","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Philippe Papaix","raw_affiliation_strings":["Federal University of Toulouse Midi-Pyr&#x00E9;n&#x00E9;es, ENSEEIHT Site of the Toulouse Research Institute in Computer Science.,France"],"affiliations":[{"raw_affiliation_string":"Federal University of Toulouse Midi-Pyr&#x00E9;n&#x00E9;es, ENSEEIHT Site of the Toulouse Research Institute in Computer Science.,France","institution_ids":["https://openalex.org/I205747304","https://openalex.org/I4387153255"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008382373"],"corresponding_institution_ids":["https://openalex.org/I3129390127","https://openalex.org/I4210159538"],"apc_list":null,"apc_paid":null,"fwci":0.5548,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56295993,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":null,"first_page":"593","last_page":"598"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9983000159263611,"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/T12158","display_name":"Guidance and Control Systems","score":0.9983000159263611,"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9976000189781189,"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"}},{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9936000108718872,"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/shooting-method","display_name":"Shooting method","score":0.8536131381988525},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7183592319488525},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6140322089195251},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.5695421695709229},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5448832511901855},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4949917197227478},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.472308874130249},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4679039418697357},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.44602811336517334},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4185980558395386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40147101879119873},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.34076881408691406},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.19980978965759277},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11451414227485657},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06284496188163757}],"concepts":[{"id":"https://openalex.org/C4195266","wikidata":"https://www.wikidata.org/wiki/Q1749769","display_name":"Shooting method","level":3,"score":0.8536131381988525},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7183592319488525},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6140322089195251},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.5695421695709229},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5448832511901855},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4949917197227478},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.472308874130249},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4679039418697357},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.44602811336517334},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4185980558395386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40147101879119873},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.34076881408691406},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.19980978965759277},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11451414227485657},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06284496188163757},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/codit55151.2022.9804142","is_oa":false,"landing_page_url":"https://doi.org/10.1109/codit55151.2022.9804142","pdf_url":null,"source":{"id":"https://openalex.org/S4363607900","display_name":"2022 8th International Conference on Control, Decision and Information Technologies (CoDIT)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 8th International Conference on Control, Decision and Information Technologies (CoDIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.6600000262260437,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1528428164","https://openalex.org/W1562460111","https://openalex.org/W1848513657","https://openalex.org/W2215569365","https://openalex.org/W2782298334","https://openalex.org/W4296154082","https://openalex.org/W4299512035","https://openalex.org/W6633748999","https://openalex.org/W6688584859","https://openalex.org/W6920510512"],"related_works":["https://openalex.org/W3040723915","https://openalex.org/W1896162644","https://openalex.org/W2127159799","https://openalex.org/W1901133132","https://openalex.org/W4287724094","https://openalex.org/W2068966571","https://openalex.org/W2188650732","https://openalex.org/W2016630321","https://openalex.org/W2385824356","https://openalex.org/W2532207692"],"abstract_inverted_index":{"A":[0],"direct":[1,13],"multiple":[2,14],"shooting":[3,15],"method":[4,16,20,29,68,100],"is":[5,17,37,101],"considered":[6],"to":[7,59,110,114],"solve":[8,80],"optimal":[9,71],"control":[10,72,111],"problems.":[11,27],"The":[12,28],"a":[18,35,61,75,104,112],"numerical":[19,105],"for":[21],"the":[22,31,51,64,84,87,95],"solution":[23,36,62],"of":[24,50,86,89],"boundary":[25],"value":[26,46],"divides":[30],"interval":[32],"over":[33],"which":[34],"sought":[38],"into":[39,74],"several":[40],"smaller":[41,52],"intervals,":[42,53],"solves":[43],"an":[44,70],"initial":[45],"problem":[47,73],"in":[48],"each":[49],"and":[54,107],"imposes":[55],"additional":[56],"matching":[57],"conditions":[58],"form":[60],"on":[63],"whole":[65],"interval.":[66],"This":[67],"transforms":[69],"non-linear":[76],"programming":[77],"problem.":[78],"To":[79],"this":[81,99],"last":[82],"problem,":[83],"zeros":[85],"Jacobian":[88],"Lagrangian":[90],"are":[91],"computed":[92],"by":[93,103],"using":[94],"Newton's":[96],"method.":[97],"Then,":[98],"illustrated":[102],"example":[106],"finally,":[108],"applied":[109],"quadrotor":[113],"minimize":[115],"energy.":[116]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
