{"id":"https://openalex.org/W2799231635","doi":"https://doi.org/10.1109/tac.2019.2923038","title":"Extending the Best Linear Approximation Framework to the Process Noise Case","display_name":"Extending the Best Linear Approximation Framework to the Process Noise Case","publication_year":2019,"publication_date":"2019-06-14","ids":{"openalex":"https://openalex.org/W2799231635","doi":"https://doi.org/10.1109/tac.2019.2923038","mag":"2799231635"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2019.2923038","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2019.2923038","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/1804.07510","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Maarten Schoukens","orcid":"https://orcid.org/0000-0002-4904-1255"},"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":"Maarten Schoukens","raw_affiliation_strings":["Eindhoven University of Technology, Control Systems Group, Eindhoven, MB"],"raw_orcid":"https://orcid.org/0000-0002-4904-1255","affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology, Control Systems Group, Eindhoven, MB","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Rik Pintelon","orcid":"https://orcid.org/0000-0003-2389-2075"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Rik Pintelon","raw_affiliation_strings":["Electrical Engineering Department, Vrije Universiteit Brussel, Brussels, Belgium"],"raw_orcid":"https://orcid.org/0000-0003-2389-2075","affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Vrije Universiteit Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Tadeusz P. Dobrowiecki","orcid":"https://orcid.org/0000-0002-8307-5096"},"institutions":[{"id":"https://openalex.org/I29770179","display_name":"Budapest University of Technology and Economics","ror":"https://ror.org/02w42ss30","country_code":"HU","type":"education","lineage":["https://openalex.org/I29770179"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Tadeusz P. Dobrowiecki","raw_affiliation_strings":["Department of Measurement and Information Systems, Budapest University of Technology and Economics, Budapest, Hungary"],"raw_orcid":"https://orcid.org/0000-0002-8307-5096","affiliations":[{"raw_affiliation_string":"Department of Measurement and Information Systems, Budapest University of Technology and Economics, Budapest, Hungary","institution_ids":["https://openalex.org/I29770179"]}]},{"author_position":"last","author":{"id":null,"display_name":"Johan Schoukens","orcid":"https://orcid.org/0000-0003-0492-6137"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]},{"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":["BE","NL"],"is_corresponding":false,"raw_author_name":"Johan Schoukens","raw_affiliation_strings":["Control Systems Group, Eindhoven University of Technology, Eindhoven, The Netherlands","Department of Engineering Technology (INDI), Vrije Universiteit Brussel, Brussels, Belgium"],"raw_orcid":"https://orcid.org/0000-0003-0492-6137","affiliations":[{"raw_affiliation_string":"Control Systems Group, Eindhoven University of Technology, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Department of Engineering Technology (INDI), Vrije Universiteit Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5176,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.82240273,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"65","issue":"4","first_page":"1514","last_page":"1524"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.5631999969482422,"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/T11236","display_name":"Control Systems and Identification","score":0.5631999969482422,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.027899999171495438,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.022700000554323196,"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/noise","display_name":"Noise (video)","score":0.6948999762535095},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5898000001907349},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5889000296592712},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5313000082969666},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.4659999907016754},{"id":"https://openalex.org/keywords/noise-measurement","display_name":"Noise measurement","score":0.44609999656677246},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.42669999599456787}],"concepts":[{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6948999762535095},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5898000001907349},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5889000296592712},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5777999758720398},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5313000082969666},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.4659999907016754},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.44609999656677246},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.42669999599456787},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40790000557899475},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34599998593330383},{"id":"https://openalex.org/C76956256","wikidata":"https://www.wikidata.org/wiki/Q27610560","display_name":"Process modeling","level":3,"score":0.34279999136924744},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3296000063419342},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.32260000705718994},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.3084000051021576},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.29589998722076416},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.28029999136924744},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.2752000093460083},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2750999927520752},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.26249998807907104}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tac.2019.2923038","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2019.2923038","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:vubissmart:VUBISSMART:2000:128864","is_oa":false,"landing_page_url":"https://doi.org/10.1109/TAC.2019.2923038","pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"pmh:oai:arXiv.org:1804.07510","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1804.07510","pdf_url":"https://arxiv.org/pdf/1804.07510","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:pure.tue.nl:openaire/968086e6-b6c1-4ee9-970f-754ed22736bd","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/968086e6-b6c1-4ee9-970f-754ed22736bd","pdf_url":"https://research.tue.nl/files/173607948/08736761.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":"Schoukens, M, Pintelon, R M, Dobrowiecki, T & Schoukens, J 2020, 'Extending the Best Linear Approximation framework to the process noise case', IEEE Transactions on Automatic Control, vol. 65, no. 4, 8736761, pp. 1514-1524. https://doi.org/10.1109/TAC.2019.2923038","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:tue:oai:pure.tue.nl:publications/968086e6-b6c1-4ee9-970f-754ed22736bd","is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/968086e6-b6c1-4ee9-970f-754ed22736bd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"IEEE Transactions on Automatic Control, 65(4):8736761, 1514 - 1524. Institute of Electrical and Electronics Engineers","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1804.07510","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1804.07510","pdf_url":"https://arxiv.org/pdf/1804.07510","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":[],"awards":[{"id":"https://openalex.org/G1147146076","display_name":null,"funder_award_id":"METH1","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G1654933525","display_name":null,"funder_award_id":"METH1","funder_id":"https://openalex.org/F4320327336","funder_display_name":"Vlaamse regering"},{"id":"https://openalex.org/G4025249762","display_name":"Nonlinear system modelling for linear parameter-varying control design","funder_award_id":"798627","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4503228703","display_name":"Data Driven Structured Modelling of Nonlinear Dynamic Systems","funder_award_id":"320378","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4654591414","display_name":null,"funder_award_id":"METH-1","funder_id":"https://openalex.org/F4320327336","funder_display_name":"Vlaamse regering"},{"id":"https://openalex.org/G4835727961","display_name":null,"funder_award_id":"IAP VII/19 DYSCO","funder_id":"https://openalex.org/F4320327336","funder_display_name":"Vlaamse regering"},{"id":"https://openalex.org/G8430479742","display_name":null,"funder_award_id":"IAP VII/19","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1998327342","https://openalex.org/W2033028754","https://openalex.org/W2057178375","https://openalex.org/W2060458267","https://openalex.org/W2065625071","https://openalex.org/W2076114583","https://openalex.org/W2083766201","https://openalex.org/W2086248552","https://openalex.org/W2105564885","https://openalex.org/W2106644107","https://openalex.org/W2119013895","https://openalex.org/W2125351848","https://openalex.org/W2137720674","https://openalex.org/W2160068178","https://openalex.org/W2162638861","https://openalex.org/W2407429584","https://openalex.org/W2412336054","https://openalex.org/W2477506057","https://openalex.org/W2567931855","https://openalex.org/W2572032788","https://openalex.org/W2594579511","https://openalex.org/W2755589696","https://openalex.org/W4252099851","https://openalex.org/W6629380985","https://openalex.org/W6631398929","https://openalex.org/W6748640255","https://openalex.org/W6754975709","https://openalex.org/W6791584863"],"related_works":[],"abstract_inverted_index":{"The":[0,25,97],"best":[1,64],"linear":[2,65],"approximation":[3,66],"(BLA)":[4],"framework":[5,28,43,67,94],"has":[6],"already":[7],"proven":[8],"to":[9,14,19,31,68],"be":[10],"a":[11,41,45],"valuable":[12],"tool":[13],"analyze":[15],"nonlinear":[16,22],"systems":[17,32],"and":[18,79,83],"start":[20],"the":[21,38,63,72,77,80,86,91,100,105],"modeling":[23],"process.":[24],"existing":[26,92],"BLA":[27,93,107],"is":[29,44,110],"limited":[30],"with":[33],"additive":[34],"(colored)":[35],"noise":[36,42,51,102],"at":[37],"output.":[39],"Such":[40],"simplified":[46],"representation":[47],"of":[48,90,99],"reality.":[49],"Process":[50],"can":[52],"play":[53],"an":[54],"important":[55,88],"role":[56],"in":[57],"many":[58],"real-life":[59],"applications.This":[60],"paper":[61],"generalizes":[62],"account":[69],"also":[70,111],"for":[71,76],"process":[73,101],"noise,":[74],"both":[75],"open-loop":[78],"closed-loop":[81],"setting,":[82],"shows":[84],"that":[85],"most":[87],"properties":[89],"remain":[95],"valid.":[96],"impact":[98],"contributions":[103],"on":[104],"robust":[106],"estimation":[108],"method":[109],"analyzed.":[112]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2018-05-07T00:00:00"}