{"id":"https://openalex.org/W7081913967","doi":"https://doi.org/10.1109/tase.2025.3609449","title":"Computationally Efficient Bayesian Model Predictive Control for 4-D Flight Trajectory Tracking Under Windy Conditions","display_name":"Computationally Efficient Bayesian Model Predictive Control for 4-D Flight Trajectory Tracking Under Windy Conditions","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W7081913967","doi":"https://doi.org/10.1109/tase.2025.3609449"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2025.3609449","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3609449","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","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":null,"display_name":"Yuhang Wang","orcid":"https://orcid.org/0009-0008-9763-0549"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuhang Wang","raw_affiliation_strings":["School of Electronics and Information Engineering, Beihang University (BUAA), Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Beihang University (BUAA), Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Kaiquan Cai","orcid":"https://orcid.org/0000-0002-2108-291X"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaiquan Cai","raw_affiliation_strings":["School of Electronics and Information Engineering, Beihang University (BUAA), Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Beihang University (BUAA), Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yanbo Zhu","orcid":"https://orcid.org/0000-0003-4579-795X"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanbo Zhu","raw_affiliation_strings":["School of Electronics and Information Engineering, Beihang University (BUAA), Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Beihang University (BUAA), Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jingyao Zhang","orcid":"https://orcid.org/0000-0003-4065-8424"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingyao Zhang","raw_affiliation_strings":["School of Electronics and Information Engineering, Beihang University (BUAA), Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Beihang University (BUAA), Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":null,"display_name":"Deyuan Meng","orcid":"https://orcid.org/0000-0002-0990-0166"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Deyuan Meng","raw_affiliation_strings":["School of Automation Science and Electrical Engineering and the Seventh Research Division, BUAA, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering and the Seventh Research Division, BUAA, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":null,"apc_paid":null,"fwci":2.3568,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.92484482,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"22","issue":null,"first_page":"21552","last_page":"21570"},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.6718999743461609,"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"}},"topics":[{"id":"https://openalex.org/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.6718999743461609,"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/T13067","display_name":"Geological Modeling and Analysis","score":0.02930000051856041,"subfield":{"id":"https://openalex.org/subfields/1906","display_name":"Geochemistry and Petrology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.01810000091791153,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.7681999802589417},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.7174000144004822},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5529000163078308},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5184000134468079},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.5044999718666077},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4578999876976013},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.44909998774528503},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4088999927043915},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4049000144004822}],"concepts":[{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.7681999802589417},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.7174000144004822},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5877000093460083},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5529000163078308},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5184000134468079},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5044999718666077},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4578999876976013},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.44909998774528503},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4147999882698059},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4088999927043915},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4049000144004822},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.3605000078678131},{"id":"https://openalex.org/C33724603","wikidata":"https://www.wikidata.org/wiki/Q812540","display_name":"Bayesian network","level":2,"score":0.3497999906539917},{"id":"https://openalex.org/C173246807","wikidata":"https://www.wikidata.org/wiki/Q7833062","display_name":"Trajectory optimization","level":3,"score":0.3352000117301941},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.32409998774528503},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.3199000060558319},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.31310001015663147},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.31150001287460327},{"id":"https://openalex.org/C197640229","wikidata":"https://www.wikidata.org/wiki/Q2534066","display_name":"Predictability","level":2,"score":0.3111000061035156},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3077000081539154},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.29989999532699585},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.2971999943256378},{"id":"https://openalex.org/C2778049539","wikidata":"https://www.wikidata.org/wiki/Q17002908","display_name":"Bayesian optimization","level":2,"score":0.2890999913215637},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.273499995470047},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.2676999866962433},{"id":"https://openalex.org/C79487989","wikidata":"https://www.wikidata.org/wiki/Q934680","display_name":"Vehicle dynamics","level":2,"score":0.258899986743927},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.25440001487731934}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2025.3609449","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3609449","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3630175528","display_name":null,"funder_award_id":"YWF-24-JT-102","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W1451881698","https://openalex.org/W1568307856","https://openalex.org/W1973943669","https://openalex.org/W1982535910","https://openalex.org/W2019214786","https://openalex.org/W2042599231","https://openalex.org/W2064675550","https://openalex.org/W2107878631","https://openalex.org/W2619551236","https://openalex.org/W2793680290","https://openalex.org/W2804964303","https://openalex.org/W2968478987","https://openalex.org/W3013679533","https://openalex.org/W3108370624","https://openalex.org/W3138369710","https://openalex.org/W3139636814","https://openalex.org/W3184440727","https://openalex.org/W3195385806","https://openalex.org/W3195943295","https://openalex.org/W3207007544","https://openalex.org/W3207040291","https://openalex.org/W4206099725","https://openalex.org/W4206254294","https://openalex.org/W4285410824","https://openalex.org/W4296251576","https://openalex.org/W4307241003","https://openalex.org/W4312513129","https://openalex.org/W4322730815","https://openalex.org/W4379659731","https://openalex.org/W4380904235","https://openalex.org/W4386261309","https://openalex.org/W4386434090","https://openalex.org/W4386802128","https://openalex.org/W4388207131","https://openalex.org/W4389666127","https://openalex.org/W4390204020","https://openalex.org/W4390692275","https://openalex.org/W4391019683","https://openalex.org/W4391806765","https://openalex.org/W4393206865","https://openalex.org/W4394627547","https://openalex.org/W4394828384","https://openalex.org/W4395680616","https://openalex.org/W4396841747","https://openalex.org/W4396909899","https://openalex.org/W4398226372","https://openalex.org/W4399311027","https://openalex.org/W4400521788","https://openalex.org/W4400644950","https://openalex.org/W4401069840","https://openalex.org/W4401325724","https://openalex.org/W4401509874","https://openalex.org/W4402125467","https://openalex.org/W4402159677","https://openalex.org/W4402262580","https://openalex.org/W4402434920","https://openalex.org/W4404317203","https://openalex.org/W4405022602","https://openalex.org/W4406891925","https://openalex.org/W4407168334","https://openalex.org/W4408519696","https://openalex.org/W4409426106"],"related_works":[],"abstract_inverted_index":{"Accurate":[0],"4-D":[1,152,169],"trajectory":[2,6,71,154,170,181],"tracking":[3,20,32,155,171,182],"can":[4,215],"improve":[5],"predictability":[7],"and":[8,131],"further":[9,251],"enhance":[10,226],"the":[11,19,58,75,82,86,90,108,112,119,143,205,217,223,237,255,258,271,275,293,296],"efficiency":[12],"of":[13,89,128,133,142,172,222,247,257,274,295],"air":[14],"traffic":[15],"management":[16,96],"(ATM).":[17],"However,":[18,174],"accuracy":[21],"is":[22,42,55,146,233,250,267],"inevitably":[23],"affected":[24],"by":[25,196,253,287],"uncertainties":[26,186],"arising":[27,241],"from":[28,80,107,187,242],"wind.":[29,188,224],"To":[30,98,225],"maintain":[31],"performance,":[33],"a":[34,46,63,198,210,229],"novel":[35],"Bayesian":[36,47,121,199,211,243,277],"model":[37],"predictive":[38],"control":[39,59,66,91],"(MPC)":[40],"framework":[41],"proposed,":[43],"within":[44],"which":[45,214],"recurrent":[48,200],"neural":[49,201],"network-based":[50],"probabilistic":[51],"wind":[52],"prediction":[53],"module":[54],"integrated":[56],"into":[57,111,194],"design":[60],"process,":[61],"yielding":[62],"stochastic":[64],"optimal":[65],"problem":[67,240],"(OCP)":[68],"with":[69],"predefined":[70],"violation":[72],"probabilities.":[73],"On":[74],"other":[76],"hand,":[77],"computational":[78,227],"cost":[79],"solving":[81],"complex":[83],"OCP":[84],"hinders":[85],"real-time":[87],"implementation":[88],"strategy":[92],"on":[93,151,219,284],"resource-limited":[94],"flight":[95,153],"systems.":[97],"alleviate":[99],"this":[100,248],"burden,":[101],"state-related":[102],"inequality":[103],"constraints":[104,260],"are":[105,124,282],"projected":[106],"state":[109],"space":[110],"input":[113],"space.":[114],"Rigorous":[115],"theoretical":[116,265],"guarantees":[117],"for":[118],"proposed":[120,144,276,297],"MPC":[122,176,195,212,278],"scheme":[123,213],"provided,":[125],"including":[126],"proof":[127],"asymptotic":[129],"stability":[130],"derivation":[132],"necessary":[134],"conditions":[135],"to":[136,161,178,235,269,291],"ensure":[137],"recursive":[138,272],"feasibility.":[139],"The":[140,245],"effectiveness":[141,294],"method":[145],"validated":[147],"through":[148],"simulation":[149],"tests":[150,281],"problems":[156],"using":[157,261,288],"reliable":[158,289],"datasets.":[159],"Note":[160],"Practitioners\u2014Trajectory-based":[162],"operations":[163],"in":[164],"ATM":[165],"typically":[166],"require":[167],"high-precision":[168],"aircraft.":[173],"conventional":[175],"struggles":[177],"handle":[179],"precise":[180],"tasks":[183],"under":[184],"external":[185],"This":[189],"work":[190],"provides":[191],"new":[192],"insights":[193],"integrating":[197],"network":[202],"that":[203],"predicts":[204],"unknown":[206],"wind,":[207],"thereby":[208],"formulating":[209],"remove":[216],"reliance":[218],"prior":[220],"knowledge":[221],"efficiency,":[228],"constraint":[230],"projection":[231],"technique":[232],"employed":[234],"address":[236],"constrained":[238],"optimization":[239],"MPC.":[244],"practicality":[246],"approach":[249],"improved":[252],"pre-adjusting":[254],"boundaries":[256],"approximated":[259],"empirical":[262],"data.":[263],"A":[264],"analysis":[266],"conducted":[268],"verify":[270],"feasibility":[273],"scheme.":[279],"Simulation":[280],"performed":[283],"Boeing":[285],"aircraft":[286],"datasets":[290],"validate":[292],"method.":[298]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}