{"id":"https://openalex.org/W4400946632","doi":"https://doi.org/10.23919/ecc64448.2024.10591292","title":"Low-Order Linear Parameter Varying Approximations for Nonlinear Controller Design for Flows","display_name":"Low-Order Linear Parameter Varying Approximations for Nonlinear Controller Design for Flows","publication_year":2024,"publication_date":"2024-06-25","ids":{"openalex":"https://openalex.org/W4400946632","doi":"https://doi.org/10.23919/ecc64448.2024.10591292"},"language":"en","primary_location":{"id":"doi:10.23919/ecc64448.2024.10591292","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc64448.2024.10591292","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/347572071/Low-Order_Linear_Parameter_Varying_Approximations_for_Nonlinear_Controller_Design_for_Flows_1_.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013924360","display_name":"Amritam Das","orcid":"https://orcid.org/0000-0001-8494-8509"},"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":true,"raw_author_name":"Amritam Das","raw_affiliation_strings":["Eindhoven University of Technology,Dept. of Electrical Engineering,MB Eindhoven,The Netherlands,5600"],"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology,Dept. of Electrical Engineering,MB Eindhoven,The Netherlands,5600","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042908408","display_name":"Jan Heiland","orcid":"https://orcid.org/0000-0003-0228-8522"},"institutions":[{"id":"https://openalex.org/I4210127568","display_name":"Max Planck Institute for Dynamics of Complex Technical Systems","ror":"https://ror.org/030h7k016","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210127568"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jan Heiland","raw_affiliation_strings":["Max-Planck Institute for Dynamics of Complex Technical Systems,Magdeburg,Germany,39106"],"affiliations":[{"raw_affiliation_string":"Max-Planck Institute for Dynamics of Complex Technical Systems,Magdeburg,Germany,39106","institution_ids":["https://openalex.org/I4210127568"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013924360"],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":null,"apc_paid":null,"fwci":0.3866,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.55285535,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"2065","last_page":"2070"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9563000202178955,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9563000202178955,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12007","display_name":"Plasma and Flow Control in Aerodynamics","score":0.9537000060081482,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9035999774932861,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/nonlinear-system","display_name":"Nonlinear system","score":0.6271899938583374},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6258765459060669},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.5043832063674927},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5002484321594238},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4866221845149994},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46143460273742676},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44435590505599976},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38699033856391907},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35331031680107117},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1654023826122284},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12106040120124817},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10117566585540771}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6271899938583374},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6258765459060669},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.5043832063674927},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5002484321594238},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4866221845149994},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46143460273742676},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44435590505599976},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38699033856391907},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35331031680107117},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1654023826122284},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12106040120124817},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10117566585540771},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc64448.2024.10591292","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc64448.2024.10591292","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:openaire_cris_publications/8ca2f4f5-9a57-45c2-ba7b-68d4be03ff44","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/8ca2f4f5-9a57-45c2-ba7b-68d4be03ff44","pdf_url":"https://pure.tue.nl/ws/files/347572071/Low-Order_Linear_Parameter_Varying_Approximations_for_Nonlinear_Controller_Design_for_Flows_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":"Das, A & Heiland, J 2024, Low-Order Linear Parameter Varying Approximations for Nonlinear Controller Design for Flows. in 2024 European Control Conference, ECC 2024., 10591292, Institute of Electrical and Electronics Engineers, pp. 2065-2070, 22nd European Control Conference 2024, ECC 2024, Stockholm, Sweden, 25/06/24. https://doi.org/10.23919/ECC64448.2024.10591292","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/8ca2f4f5-9a57-45c2-ba7b-68d4be03ff44","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/8ca2f4f5-9a57-45c2-ba7b-68d4be03ff44","pdf_url":"https://pure.tue.nl/ws/files/347572071/Low-Order_Linear_Parameter_Varying_Approximations_for_Nonlinear_Controller_Design_for_Flows_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":"Das, A & Heiland, J 2024, Low-Order Linear Parameter Varying Approximations for Nonlinear Controller Design for Flows. in 2024 European Control Conference, ECC 2024., 10591292, Institute of Electrical and Electronics Engineers, pp. 2065-2070, 22nd European Control Conference 2024, ECC 2024, Stockholm, Sweden, 25/06/24. https://doi.org/10.23919/ECC64448.2024.10591292","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4400946632.pdf"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W173329990","https://openalex.org/W1991888078","https://openalex.org/W2006798482","https://openalex.org/W2020562832","https://openalex.org/W2031711324","https://openalex.org/W2042733830","https://openalex.org/W2070338629","https://openalex.org/W2097467365","https://openalex.org/W2103346619","https://openalex.org/W2132673028","https://openalex.org/W2135245199","https://openalex.org/W2475591765","https://openalex.org/W2885744146","https://openalex.org/W2891155270","https://openalex.org/W2951409734","https://openalex.org/W3003257820","https://openalex.org/W3025037390","https://openalex.org/W3121855996","https://openalex.org/W4225145190","https://openalex.org/W4239216443","https://openalex.org/W4382657917","https://openalex.org/W6741884570","https://openalex.org/W6750210136"],"related_works":["https://openalex.org/W2154204858","https://openalex.org/W3209622820","https://openalex.org/W2382250648","https://openalex.org/W2367363545","https://openalex.org/W2586383879","https://openalex.org/W2067895158","https://openalex.org/W4379507409","https://openalex.org/W2066331732","https://openalex.org/W1972707897","https://openalex.org/W2151801171"],"abstract_inverted_index":{"The":[0,17],"control":[1],"of":[2,97,118],"nonlinear":[3,34,71,91,127],"large-scale":[4],"dynamical":[5],"models":[6,81],"such":[7],"as":[8],"the":[9,21,27,33,90,95,106,111,134],"incompressible":[10,75],"Navier-Stokes":[11,76],"equations":[12,77],"is":[13],"a":[14,64,101,115],"challenging":[15],"task.":[16],"computational":[18],"challenges":[19],"in":[20,94,105],"controller":[22,72,128],"design":[23,73,129],"come":[24,83],"from":[25],"both":[26],"possibly":[28],"large":[29,51],"state":[30],"space":[31],"and":[32,78,136],"dynamics.":[35],"A":[36],"general":[37],"purpose":[38],"approach":[39,68],"certainly":[40],"will":[41],"resort":[42],"to":[43,55,70,114],"numerical":[44,140],"linear":[45],"algebra":[46],"techniques":[47],"which":[48],"can":[49],"handle":[50],"system":[52,112],"sizes":[53],"or":[54],"model":[56,66,92],"order":[57],"reduction.":[58],"In":[59],"this":[60],"work":[61],"we":[62,88,109],"propose":[63],"two-folded":[65],"reduction":[67],"tailored":[69],"for":[74,126],"similar":[79],"PDE":[80],"that":[82],"with":[84,100],"quadratic":[85],"nonlinearities.":[86],"Firstly,":[87],"approximate":[89],"within":[93],"class":[96],"LPV":[98,124],"systems":[99],"very":[102],"low":[103],"dimension":[104],"parametrization.":[107],"Secondly,":[108],"reduce":[110],"size":[113],"moderate":[116],"number":[117],"states.":[119],"This":[120],"way,":[121],"standard":[122],"robust":[123],"theory":[125],"becomes":[130],"feasible.":[131],"We":[132],"illustrate":[133],"procedure":[135],"its":[137],"potentials":[138],"by":[139],"simulations.":[141]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-17T17:19:04.345684","created_date":"2025-10-10T00:00:00"}