{"id":"https://openalex.org/W4324292110","doi":"https://doi.org/10.1109/taes.2023.3257139","title":"Nonlinear Control Allocation Using a Piecewise Multilinear Representation","display_name":"Nonlinear Control Allocation Using a Piecewise Multilinear Representation","publication_year":2023,"publication_date":"2023-03-14","ids":{"openalex":"https://openalex.org/W4324292110","doi":"https://doi.org/10.1109/taes.2023.3257139"},"language":"en","primary_location":{"id":"doi:10.1109/taes.2023.3257139","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taes.2023.3257139","pdf_url":null,"source":{"id":"https://openalex.org/S193624734","display_name":"IEEE Transactions on Aerospace and Electronic Systems","issn_l":"0018-9251","issn":["0018-9251","1557-9603","2371-9877"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Aerospace and Electronic Systems","raw_type":"journal-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/A5078457459","display_name":"Jahanzeb Rajput","orcid":"https://orcid.org/0000-0001-6578-3905"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jahanzeb Rajput","raw_affiliation_strings":["Centers of Excellence in Science and Applied Technologies, Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Centers of Excellence in Science and Applied Technologies, Islamabad, Pakistan","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056448752","display_name":"Hafiz Zeeshan Iqbal Khan","orcid":"https://orcid.org/0000-0003-2685-0436"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hafiz Zeeshan Iqbal Khan","raw_affiliation_strings":["Centers of Excellence in Science and Applied Technologies, Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Centers of Excellence in Science and Applied Technologies, Islamabad, Pakistan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078457459"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.938,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.7349288,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":"59","issue":"5","first_page":"5314","last_page":"5323"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9995999932289124,"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":0.9995999932289124,"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/T12125","display_name":"Aerospace and Aviation Technology","score":0.9991999864578247,"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/T11236","display_name":"Control Systems and Identification","score":0.9987999796867371,"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":0.6959248185157776},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6307544112205505},{"id":"https://openalex.org/keywords/multilinear-map","display_name":"Multilinear map","score":0.5837445259094238},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5343049764633179},{"id":"https://openalex.org/keywords/aerodynamics","display_name":"Aerodynamics","score":0.45038536190986633},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.44929471611976624},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4309268891811371},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41137897968292236},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33733975887298584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3336501717567444},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18558025360107422},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0996427834033966},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09617939591407776}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6959248185157776},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6307544112205505},{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.5837445259094238},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5343049764633179},{"id":"https://openalex.org/C13393347","wikidata":"https://www.wikidata.org/wiki/Q8424","display_name":"Aerodynamics","level":2,"score":0.45038536190986633},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.44929471611976624},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4309268891811371},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41137897968292236},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33733975887298584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3336501717567444},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18558025360107422},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0996427834033966},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09617939591407776},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/taes.2023.3257139","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taes.2023.3257139","pdf_url":null,"source":{"id":"https://openalex.org/S193624734","display_name":"IEEE Transactions on Aerospace and Electronic Systems","issn_l":"0018-9251","issn":["0018-9251","1557-9603","2371-9877"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Aerospace and Electronic Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W246813214","https://openalex.org/W1608246733","https://openalex.org/W1980156704","https://openalex.org/W2001275189","https://openalex.org/W2033256027","https://openalex.org/W2050813320","https://openalex.org/W2069049961","https://openalex.org/W2081468666","https://openalex.org/W2087847118","https://openalex.org/W2088709416","https://openalex.org/W2089390952","https://openalex.org/W2095578515","https://openalex.org/W2095881941","https://openalex.org/W2099449742","https://openalex.org/W2135496390","https://openalex.org/W2145647951","https://openalex.org/W2145978669","https://openalex.org/W2156107267","https://openalex.org/W2158647064","https://openalex.org/W2168285891","https://openalex.org/W2318948890","https://openalex.org/W2428922918","https://openalex.org/W2570348014","https://openalex.org/W2582124322","https://openalex.org/W2739794038","https://openalex.org/W2781788956","https://openalex.org/W2793086623","https://openalex.org/W2811035165","https://openalex.org/W2898222709","https://openalex.org/W2915681534","https://openalex.org/W2946747412","https://openalex.org/W3036408458","https://openalex.org/W4226185641","https://openalex.org/W4237540704","https://openalex.org/W6636180778","https://openalex.org/W6732647978","https://openalex.org/W6811017857"],"related_works":["https://openalex.org/W4318719034","https://openalex.org/W37958683","https://openalex.org/W1999178348","https://openalex.org/W2396820687","https://openalex.org/W4295021234","https://openalex.org/W3035010459","https://openalex.org/W4298178514","https://openalex.org/W4296311369","https://openalex.org/W3151212431","https://openalex.org/W2011892585"],"abstract_inverted_index":{"Nonlinear":[0],"control":[1,14,60,75,153,163,171,178,192],"allocation":[2,179,193],"is":[3,62,81,131,150],"an":[4,26,120,144,176],"important":[5],"part":[6],"of":[7,22,53,86,100,108,124,133,143],"modern":[8],"nonlinear":[9,66,101,136,148],"dynamic":[10,67],"inversion":[11,68],"based":[12,74,195],"flight":[13,141],"systems,":[15],"which":[16],"require":[17],"a":[18,41,59,70,84,154],"highly":[19],"accurate":[20,43,177],"model":[21,30,44,112],"aircraft":[23,158],"aerodynamics.":[24],"Generally,":[25],"accurately":[27,134],"implemented":[28],"onboard":[29],"determines":[31],"how":[32],"well":[33],"the":[34,54,87,95,106,109,139,191],"system":[35,61],"nonlinearities":[36],"can":[37,181],"be":[38,182],"canceled.":[39],"Thus,":[40],"more":[42],"results":[45,167],"in":[46],"better":[47,186],"cancelation,":[48],"leading":[49,184],"to":[50,152,185],"higher":[51],"performance":[52,180,188],"controller.":[55],"In":[56],"this":[57],"article,":[58],"presented":[63],"that":[64,175],"combines":[65],"with":[69,94,159,190],"piecewise":[71,78,97,110,125],"multilinear":[72,79,111,126],"representation":[73,80,99,123],"allocation.":[76],"The":[77,116,146,165],"developed":[82],"through":[83],"generalization":[85],"Kronecker":[88],"product":[89],"for":[90,105,168],"block":[91],"matrices,":[92],"combined":[93],"canonical":[96],"linear":[98],"functions.":[102],"Analytical":[103],"expressions":[104],"Jacobian":[107],"are":[113],"also":[114],"presented.":[115],"proposed":[117],"formulation":[118],"gives":[119],"equivalent":[121],"analytical":[122],"aerodynamic":[127],"data":[128],"and,":[129],"thus,":[130],"capable":[132],"modeling":[135],"aerodynamics":[137],"over":[138],"entire":[140],"envelope":[142],"aircraft.":[145],"resulting":[147],"controller":[149],"applied":[151],"tailless":[155],"flying":[156],"wing":[157],"ten":[160],"independently":[161],"operating":[162],"surfaces.":[164],"simulation":[166],"two":[169],"innovative":[170],"surface":[172],"configurations":[173],"indicate":[174],"achieved,":[183],"tracking":[187],"compared":[189],"methods":[194],"on":[196],"multivariate":[197],"polynomials":[198],"and":[199],"splines.":[200]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
