{"id":"https://openalex.org/W4400946559","doi":"https://doi.org/10.23919/ecc64448.2024.10590998","title":"Multilevel parallel GPU implementation of SQP solvers for Nonlinear MPC","display_name":"Multilevel parallel GPU implementation of SQP solvers for Nonlinear MPC","publication_year":2024,"publication_date":"2024-06-25","ids":{"openalex":"https://openalex.org/W4400946559","doi":"https://doi.org/10.23919/ecc64448.2024.10590998"},"language":"en","primary_location":{"id":"doi:10.23919/ecc64448.2024.10590998","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc64448.2024.10590998","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pure.tue.nl/ws/files/359439249/Multilevel_parallel_GPU_implementation_of_SQP_solvers_for_Nonlinear_MPC_1_.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012841379","display_name":"P. C. N. Verheijen","orcid":"https://orcid.org/0009-0003-2269-4066"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"P. C. N. Verheijen","raw_affiliation_strings":["Eindhoven University of Technology,Department of Electrical Engineering,The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology,Department of Electrical Engineering,The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105015764","display_name":"Alireza H. Derkani","orcid":null},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"A. H. Derkani","raw_affiliation_strings":["Eindhoven University of Technology,Department of Electrical Engineering,The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology,Department of Electrical Engineering,The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071257070","display_name":"Yuvraj Agarwal","orcid":"https://orcid.org/0000-0001-9304-6080"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Y. A. Agarwal","raw_affiliation_strings":["Eindhoven University of Technology,Department of Electrical Engineering,The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology,Department of Electrical Engineering,The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045512282","display_name":"Mircea Lazar","orcid":"https://orcid.org/0000-0003-4338-9004"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"M. Lazar","raw_affiliation_strings":["Eindhoven University of Technology,Department of Electrical Engineering,The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology,Department of Electrical Engineering,The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016508380","display_name":"D. Goswami","orcid":null},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"D. Goswami","raw_affiliation_strings":["Eindhoven University of Technology,Department of Electrical Engineering,The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology,Department of Electrical Engineering,The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8739,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73485565,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2292","last_page":"2298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.992900013923645,"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":0.992900013923645,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9650999903678894,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9628999829292297,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6823809146881104},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6695414781570435},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.6505279541015625},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4890185296535492},{"id":"https://openalex.org/keywords/cuda","display_name":"CUDA","score":0.4844408333301544},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.46740108728408813},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2330109179019928},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.1943356990814209},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15917447209358215},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06339403986930847}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6823809146881104},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6695414781570435},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.6505279541015625},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4890185296535492},{"id":"https://openalex.org/C2778119891","wikidata":"https://www.wikidata.org/wiki/Q477690","display_name":"CUDA","level":2,"score":0.4844408333301544},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.46740108728408813},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2330109179019928},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.1943356990814209},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15917447209358215},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06339403986930847},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.23919/ecc64448.2024.10590998","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc64448.2024.10590998","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:publications/5279f198-1835-4ec0-aaf0-f2b017b4cf72","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/5279f198-1835-4ec0-aaf0-f2b017b4cf72","pdf_url":"https://pure.tue.nl/ws/files/359439249/Multilevel_parallel_GPU_implementation_of_SQP_solvers_for_Nonlinear_MPC_1_.pdf","source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Verheijen, P C N, Derkani, A H, Agarwal, Y A, Lazar, M & Goswami, D 2024, Multilevel parallel GPU implementation of SQP solvers for Nonlinear MPC. in 2024 European Control Conference, ECC 2024., 10590998, Institute of Electrical and Electronics Engineers, pp. 2292-2298, 2024 European Control Conference, ECC 2024, Stockholm, Sweden, 25/06/24. https://doi.org/10.23919/ECC64448.2024.10590998","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.tue.nl:openaire/5279f198-1835-4ec0-aaf0-f2b017b4cf72","is_oa":true,"landing_page_url":"https://research.tue.nl/files/359439249/Multilevel_parallel_GPU_implementation_of_SQP_solvers_for_Nonlinear_MPC_1_.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Verheijen, P C N, Derkani, A H, Agarwal, Y A, Lazar, M & Goswami, D 2024, Multilevel parallel GPU implementation of SQP solvers for Nonlinear MPC. in 2024 European Control Conference, ECC 2024., 10590998, Institute of Electrical and Electronics Engineers, pp. 2292-2298, 2024 European Control Conference, ECC 2024, Stockholm, Sweden, 25/06/24. https://doi.org/10.23919/ECC64448.2024.10590998","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.tue.nl:publications/5279f198-1835-4ec0-aaf0-f2b017b4cf72","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/5279f198-1835-4ec0-aaf0-f2b017b4cf72","pdf_url":"https://pure.tue.nl/ws/files/359439249/Multilevel_parallel_GPU_implementation_of_SQP_solvers_for_Nonlinear_MPC_1_.pdf","source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Verheijen, P C N, Derkani, A H, Agarwal, Y A, Lazar, M & Goswami, D 2024, Multilevel parallel GPU implementation of SQP solvers for Nonlinear MPC. in 2024 European Control Conference, ECC 2024., 10590998, Institute of Electrical and Electronics Engineers, pp. 2292-2298, 2024 European Control Conference, ECC 2024, Stockholm, Sweden, 25/06/24. https://doi.org/10.23919/ECC64448.2024.10590998","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.4099999964237213,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G2469727591","display_name":null,"funder_award_id":"P19-45","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"},{"id":"https://openalex.org/F4320334952","display_name":"Wageningen University and Research","ror":"https://ror.org/04qw24q55"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400946559.pdf"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1971930153","https://openalex.org/W1996383285","https://openalex.org/W2013439434","https://openalex.org/W2073513732","https://openalex.org/W2096222424","https://openalex.org/W2217407546","https://openalex.org/W2273341687","https://openalex.org/W2523760000","https://openalex.org/W2617799486","https://openalex.org/W2769646558","https://openalex.org/W2782797996","https://openalex.org/W2992727511","https://openalex.org/W3101798601","https://openalex.org/W4301014524","https://openalex.org/W4386953337","https://openalex.org/W6628529339"],"related_works":["https://openalex.org/W3213381848","https://openalex.org/W2005148983","https://openalex.org/W2017587301","https://openalex.org/W2012954338","https://openalex.org/W2096672917","https://openalex.org/W2392023973","https://openalex.org/W2939411666","https://openalex.org/W1973046741","https://openalex.org/W3189307731","https://openalex.org/W2949962288"],"abstract_inverted_index":{"In":[0,90],"recent":[1],"literature,":[2],"it":[3],"has":[4],"been":[5],"shown":[6],"that":[7,146],"the":[8,47,66,78,83,147,154,159],"number":[9],"of":[10,37,68,109,122,139,156],"steps":[11],"in":[12,158],"a":[13,19,31,39,86,95,116,167,174],"sequential":[14,101],"quadratic":[15,102,124],"programming":[16,103],"algorithm":[17,48],"for":[18,71,85,100,173],"non-linear":[20],"model":[21],"predictive":[22],"control":[23],"(NMPC)":[24],"problem":[25,88,176],"can":[26,170],"be":[27,171],"greatly":[28,151],"reduced":[29],"by":[30,127],"parallel":[32,40,52,97,120,160],"shooting":[33,41,161],"method.":[34,162],"The":[35,61],"efficiency":[36,74],"such":[38,55],"method":[42],"further":[43],"depends":[44],"on":[45,51],"how":[46,166],"is":[49],"implemented":[50],"computing":[53,121],"platforms":[54],"as":[56,75,77],"Graphics":[57],"Processing":[58],"Units":[59],"(GPUs).":[60],"GPU":[62,84,98,117,149,168],"implementation":[63,99,118,150,169],"should":[64],"consider":[65],"degree":[67,155],"parallelism":[69,138,157],"necessary":[70],"higher":[72],"time":[73],"well":[76],"hardware":[79],"resource":[80,179],"consumption/limitation":[81],"at":[82],"given":[87,175],"size.":[89],"this":[91],"paper,":[92],"we":[93,114,131,164],"present":[94],"multilevel":[96],"and":[104],"an":[105],"(Alternating":[106],"Direction":[107],"Method":[108],"Multipliers)":[110],"ADMM":[111],"solver.":[112],"First,":[113],"introduce":[115],"enabling":[119],"many":[123],"programs":[125],"(QPs)":[126],"functional":[128],"parallelism.":[129],"Next,":[130],"parallelize":[132],"each":[133],"QP":[134],"solver":[135],"using":[136],"data":[137],"basic":[140],"linear":[141],"matrix":[142],"operations.":[143],"We":[144],"show":[145,165],"proposed":[148],"scales":[152],"with":[153],"Further,":[163],"configured":[172],"size":[177],"avoiding":[178],"overprovisioning.":[180]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}