{"id":"https://openalex.org/W4385062418","doi":"https://doi.org/10.1109/tcst.2023.3291537","title":"A Proximal-Point Lagrangian-Based Parallelizable Nonconvex Solver for Bilinear Model Predictive Control","display_name":"A Proximal-Point Lagrangian-Based Parallelizable Nonconvex Solver for Bilinear Model Predictive Control","publication_year":2023,"publication_date":"2023-07-20","ids":{"openalex":"https://openalex.org/W4385062418","doi":"https://doi.org/10.1109/tcst.2023.3291537"},"language":"en","primary_location":{"id":"doi:10.1109/tcst.2023.3291537","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tcst.2023.3291537","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"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 Control Systems Technology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/304085","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045348218","display_name":"Yingzhao Lian","orcid":"https://orcid.org/0000-0002-9242-143X"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Yingzhao Lian","raw_affiliation_strings":["Automatic Control Laboratory, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-9242-143X","affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074655314","display_name":"Yuning Jiang","orcid":"https://orcid.org/0000-0002-7145-0995"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Yuning Jiang","raw_affiliation_strings":["Automatic Control Laboratory, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-7145-0995","affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029666938","display_name":"Daniel F. Opila","orcid":"https://orcid.org/0000-0003-4571-830X"},"institutions":[{"id":"https://openalex.org/I189158971","display_name":"United States Naval Academy","ror":"https://ror.org/00znex860","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I189158971","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel F. Opila","raw_affiliation_strings":["Department of Electrical and Computer Engineering, United States Naval Academy, Annapolis, MD, USA"],"raw_orcid":"https://orcid.org/0000-0003-4571-830X","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, United States Naval Academy, Annapolis, MD, USA","institution_ids":["https://openalex.org/I189158971"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085117832","display_name":"Colin N. Jones","orcid":"https://orcid.org/0000-0001-7239-4799"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Colin N. Jones","raw_affiliation_strings":["Automatic Control Laboratory, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0001-7239-4799","affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5163,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64435534,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"31","issue":"5","first_page":"2245","last_page":"2260"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998000264167786,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998000264167786,"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/T11236","display_name":"Control Systems and Identification","score":0.9865000247955322,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9786999821662903,"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/parallelizable-manifold","display_name":"Parallelizable manifold","score":0.9605092406272888},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.8111944794654846},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7614389061927795},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.6617171168327332},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.6268035173416138},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5263152122497559},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48431411385536194},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42750197649002075},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4174850583076477},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3317440152168274},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.29034537076950073},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26508527994155884},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20725136995315552},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.1129203736782074}],"concepts":[{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.9605092406272888},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.8111944794654846},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7614389061927795},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.6617171168327332},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.6268035173416138},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5263152122497559},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48431411385536194},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42750197649002075},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4174850583076477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3317440152168274},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.29034537076950073},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26508527994155884},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20725136995315552},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.1129203736782074}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcst.2023.3291537","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tcst.2023.3291537","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"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 Control Systems Technology","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.epfl.ch:304085","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/304085","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WoS","raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:304085","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/304085","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WoS","raw_type":"research article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W37887877","https://openalex.org/W368078881","https://openalex.org/W376523517","https://openalex.org/W391646181","https://openalex.org/W1492835138","https://openalex.org/W1511213320","https://openalex.org/W1970101292","https://openalex.org/W1971930153","https://openalex.org/W1975382117","https://openalex.org/W1983864916","https://openalex.org/W1989518710","https://openalex.org/W1993170675","https://openalex.org/W2000347248","https://openalex.org/W2011474678","https://openalex.org/W2012253096","https://openalex.org/W2027982384","https://openalex.org/W2029067303","https://openalex.org/W2031280071","https://openalex.org/W2037091587","https://openalex.org/W2046159525","https://openalex.org/W2049670620","https://openalex.org/W2053764342","https://openalex.org/W2057624533","https://openalex.org/W2065646793","https://openalex.org/W2073007953","https://openalex.org/W2090117039","https://openalex.org/W2104357921","https://openalex.org/W2113748847","https://openalex.org/W2116773335","https://openalex.org/W2121202838","https://openalex.org/W2135779729","https://openalex.org/W2143776086","https://openalex.org/W2153909400","https://openalex.org/W2164278908","https://openalex.org/W2166662778","https://openalex.org/W2286577920","https://openalex.org/W2290668970","https://openalex.org/W2345986964","https://openalex.org/W2478509510","https://openalex.org/W2749680651","https://openalex.org/W2757914780","https://openalex.org/W2784412233","https://openalex.org/W2937374275","https://openalex.org/W2949953997","https://openalex.org/W2962853966","https://openalex.org/W2970053571","https://openalex.org/W3010733589","https://openalex.org/W3011185217","https://openalex.org/W3011494824","https://openalex.org/W3012044484","https://openalex.org/W3012080241","https://openalex.org/W3022547947","https://openalex.org/W3044510764","https://openalex.org/W3082813955","https://openalex.org/W3099506637","https://openalex.org/W3153160857","https://openalex.org/W3155272911","https://openalex.org/W3155513724","https://openalex.org/W3178931227","https://openalex.org/W3207305612","https://openalex.org/W3208853516","https://openalex.org/W4250589301","https://openalex.org/W4301909677","https://openalex.org/W6748084567","https://openalex.org/W6775638715","https://openalex.org/W6823092613"],"related_works":["https://openalex.org/W4285069850","https://openalex.org/W2891970004","https://openalex.org/W4240963716","https://openalex.org/W1996916724","https://openalex.org/W1974634278","https://openalex.org/W1596637634","https://openalex.org/W2321918740","https://openalex.org/W2154273227","https://openalex.org/W1776186222","https://openalex.org/W2900794160"],"abstract_inverted_index":{"Nonlinear":[0],"model":[1,43],"predictive":[2,44],"control":[3,45,85,145],"(NMPC)":[4],"has":[5],"been":[6],"widely":[7],"adopted":[8],"to":[9,36,114,142],"manipulate":[10],"bilinear":[11,42,70],"systems":[12,25],"with":[13],"dynamics":[14],"that":[15],"include":[16],"products":[17],"of":[18,90,108,127],"the":[19,22,82,106,152,160],"inputs":[20],"and":[21,33,97,158,167],"states.":[23],"These":[24],"are":[26],"ubiquitous":[27],"in":[28,48,162],"chemical":[29],"processes,":[30],"mechanical":[31],"systems,":[32],"quantum":[34],"physics,":[35],"name":[37],"a":[38,41,53,58,65,88,104,125,136,147],"few.":[39],"Running":[40],"(MPC)":[46],"controller":[47],"real":[49],"time":[50],"requires":[51],"solving":[52],"nonconvex":[54,83],"optimization":[55],"problem":[56,86,161],"within":[57],"limited":[59],"sampling":[60],"time.":[61],"This":[62],"article":[63],"proposes":[64],"novel":[66],"parallel":[67],"proximal-point":[68],"Lagrangian-based":[69],"MPC":[71,84,153],"solver":[72],"via":[73],"an":[74,98,128],"interlacing":[75],"horizon-splitting":[76],"scheme.":[77],"The":[78,119],"resulting":[79],"algorithm":[80,121],"converts":[81],"into":[87],"set":[89],"parallelizable":[91],"small-scale":[92],"multiparametric":[93],"quadratic":[94],"programming":[95],"(mpQP)":[96],"equality-constrained":[99],"linear-quadratic":[100],"regulator":[101],"problem.":[102],"As":[103],"result,":[105],"solutions":[107],"mpQPs":[109],"can":[110],"be":[111],"precomputed":[112],"offline":[113],"enable":[115],"efficient":[116],"online":[117],"computation.":[118],"proposed":[120],"is":[122,133],"validated":[123],"on":[124,135,146,165],"simulation":[126],"HVac":[129],"system":[130],"control.":[131],"It":[132],"deployed":[134],"TI":[137],"LaunchPad":[138],"XL":[139],"F28379D":[140],"microcontroller":[141],"execute":[143],"speed":[144],"field-controlled":[148],"dc":[149],"motor,":[150],"where":[151],"updates":[154],"at":[155,168],"10":[156],"ms":[157,164],"solves":[159],"1.764":[163],"average":[166],"most":[169],"2.088":[170],"ms.":[171]},"counts_by_year":[{"year":2023,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}