{"id":"https://openalex.org/W3093154383","doi":"https://doi.org/10.1109/tac.2022.3145657","title":"Horizon-Independent Preconditioner Design for Linear Predictive Control","display_name":"Horizon-Independent Preconditioner Design for Linear Predictive Control","publication_year":2022,"publication_date":"2022-01-25","ids":{"openalex":"https://openalex.org/W3093154383","doi":"https://doi.org/10.1109/tac.2022.3145657","mag":"3093154383"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3145657","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3145657","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2010.08572","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034573422","display_name":"Ian McInerney","orcid":"https://orcid.org/0000-0003-2616-9771"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Ian McInerney","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, U.K","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073800864","display_name":"Eric C. Kerrigan","orcid":"https://orcid.org/0000-0002-3967-1544"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Eric C. Kerrigan","raw_affiliation_strings":["Department of Electrical and Electronic Engineering and the Department of Aeronautics, Imperial College London, London, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering and the Department of Aeronautics, Imperial College London, London, U.K","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029829952","display_name":"George A. Constantinides","orcid":"https://orcid.org/0000-0002-0201-310X"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"George A. Constantinides","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, U.K","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034573422"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":0.9723,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.72868738,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"68","issue":"1","first_page":"580","last_page":"587"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9993000030517578,"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":0.9993000030517578,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.9492467045783997},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.9412705898284912},{"id":"https://openalex.org/keywords/hessian-equation","display_name":"Hessian equation","score":0.6022922992706299},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5455635190010071},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5309255719184875},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5219468474388123},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5019516944885254},{"id":"https://openalex.org/keywords/condition-number","display_name":"Condition number","score":0.4695627689361572},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.46800366044044495},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.34997302293777466},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.33019569516181946},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32208147644996643},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12976199388504028},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06462475657463074},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.06078523397445679}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9492467045783997},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.9412705898284912},{"id":"https://openalex.org/C73729460","wikidata":"https://www.wikidata.org/wiki/Q17023339","display_name":"Hessian equation","level":4,"score":0.6022922992706299},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5455635190010071},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5309255719184875},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5219468474388123},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5019516944885254},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.4695627689361572},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.46800366044044495},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.34997302293777466},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.33019569516181946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32208147644996643},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12976199388504028},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06462475657463074},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.06078523397445679},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tac.2022.3145657","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3145657","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2010.08572","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.08572","pdf_url":"https://arxiv.org/pdf/2010.08572","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/83539","is_oa":true,"landing_page_url":"http://hdl.handle.net/10044/1/83539","pdf_url":"http://hdl.handle.net/10044/1/83539","source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Working Paper"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/94515","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/94515","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"587","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2010.08572","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.08572","pdf_url":"https://arxiv.org/pdf/2010.08572","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","score":0.46000000834465027,"display_name":"Decent work and economic growth"}],"awards":[{"id":"https://openalex.org/G5201431165","display_name":"EPSRC Centre for Doctoral Training in High Performance Embedded and Distributed Systems","funder_award_id":"EP/L016796/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5288895031","display_name":null,"funder_award_id":"EPSRC Centre for Doctoral Training","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6244725262","display_name":null,"funder_award_id":"Centre for Doctoral Training","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6653872853","display_name":null,"funder_award_id":"EP/L016","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G774180880","display_name":null,"funder_award_id":"EP/P010040/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W165896801","https://openalex.org/W391578156","https://openalex.org/W648869842","https://openalex.org/W1488435683","https://openalex.org/W1533471646","https://openalex.org/W1542772662","https://openalex.org/W1977284223","https://openalex.org/W1978956894","https://openalex.org/W1980145158","https://openalex.org/W2006498909","https://openalex.org/W2058478885","https://openalex.org/W2063106205","https://openalex.org/W2063892285","https://openalex.org/W2065313971","https://openalex.org/W2117763096","https://openalex.org/W2131849402","https://openalex.org/W2143688899","https://openalex.org/W2150576155","https://openalex.org/W2346841711","https://openalex.org/W2595142274","https://openalex.org/W2901203511","https://openalex.org/W2903091854","https://openalex.org/W2965236324","https://openalex.org/W3098928855","https://openalex.org/W3146435346","https://openalex.org/W3195133498","https://openalex.org/W4297970737","https://openalex.org/W6632447309"],"related_works":["https://openalex.org/W1991833659","https://openalex.org/W2316166864","https://openalex.org/W2964019050","https://openalex.org/W2989823969","https://openalex.org/W4297791817","https://openalex.org/W2890919253","https://openalex.org/W2414981476","https://openalex.org/W2120338570","https://openalex.org/W2755749970","https://openalex.org/W3113796871"],"abstract_inverted_index":{"First-order":[0],"optimizationsolvers,":[1],"such":[2],"as":[3],"the":[4,23,33,36,50,67,70,78,83,92,100,104,127,136,141,145,162,166],"fast":[5],"gradient":[6],"method":[7,59],"(FGM),":[8],"are":[9],"increasingly":[10],"being":[11],"used":[12,154],"to":[13,89,98,113,155],"solve":[14],"model":[15],"predictive":[16],"control":[17],"problems":[18,41],"in":[19,117,138],"resource-constrained":[20],"environments.":[21],"Unfortunately,":[22],"convergence":[24],"rate":[25],"of":[26,35,46,52,69,82,103,140,144],"these":[27,151],"solvers":[28],"is":[29,75],"significantly":[30],"affected":[31],"by":[32],"conditioning":[34],"problem":[37],"data,":[38],"with":[39],"ill-conditioned":[40],"requiring":[42],"a":[43,57,62,157],"large":[44],"number":[45,51,164],"iterations.":[47],"To":[48],"reduce":[49],"iterations":[53],"required,":[54],"we":[55,130],"present":[56],"simple":[58],"for":[60,66,126,135,165],"computing":[61],"horizon-independent":[63,132,159],"preconditioning":[64],"matrix":[65],"Hessian":[68,137],"condensed":[71],"problem.":[72],"The":[73,107],"preconditioner":[74,109,116],"based":[76],"on":[77,161],"block":[79],"Toeplitz":[80],"structure":[81],"Hessian.":[84,106,168],"Horizon":[85],"independence":[86],"allows":[87],"one":[88],"use":[90],"only":[91],"predicted":[93,146],"system":[94],"and":[95,124,148],"cost":[96],"matrices":[97],"compute":[99,156],"preconditioner,":[101],"instead":[102],"full":[105],"proposed":[108],"has":[110],"equivalent":[111],"performance":[112],"an":[114],"optimal":[115],"numerical":[118],"examples,":[119],"producing":[120],"speedups":[121],"between":[122],"2x":[123],"9x":[125],"FGM.":[128],"Additionally,":[129],"derive":[131],"spectral":[133],"bounds":[134],"terms":[139],"transfer":[142],"function":[143],"system,":[147],"show":[149],"how":[150],"can":[152],"be":[153],"novel":[158],"bound":[160],"condition":[163],"preconditioned":[167]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}