{"id":"https://openalex.org/W2138843011","doi":"https://doi.org/10.1109/cdc.2008.4739348","title":"A Q, L factorization of Norm-Optimal Iterative Learning Control","display_name":"A Q, L factorization of Norm-Optimal Iterative Learning Control","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2138843011","doi":"https://doi.org/10.1109/cdc.2008.4739348","mag":"2138843011"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2008.4739348","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4739348","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008112862","display_name":"Douglas A. Bristow","orcid":"https://orcid.org/0000-0002-4581-7351"},"institutions":[{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Douglas A. Bristow","raw_affiliation_strings":["The Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technology, Rolla, MO, USA","Dept. of Mech. & Aerosp., Missouri Univ. of Sci. & Technol., Rolla, MO, USA"],"affiliations":[{"raw_affiliation_string":"The Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technology, Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]},{"raw_affiliation_string":"Dept. of Mech. & Aerosp., Missouri Univ. of Sci. & Technol., Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055733669","display_name":"Brandon Hencey","orcid":"https://orcid.org/0000-0001-9240-7999"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brandon Hencey","raw_affiliation_strings":["The Department of Mechanical Science and Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, USA","Dept. of Mech. Sci. & Eng., Univ. of Illinois at Urbana Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"The Department of Mechanical Science and Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept. of Mech. Sci. & Eng., Univ. of Illinois at Urbana Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008112862"],"corresponding_institution_ids":["https://openalex.org/I20382870"],"apc_list":null,"apc_paid":null,"fwci":4.1125,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.93957521,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2380","last_page":"2384"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","score":0.9998999834060669,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9998999834060669,"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/iterative-learning-control","display_name":"Iterative learning control","score":0.7534379363059998},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.662062406539917},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6270999312400818},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49252113699913025},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.48348551988601685},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.41998291015625},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.41678690910339355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39052078127861023},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3567692041397095},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32911163568496704},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3248213827610016},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3091966509819031},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1881597340106964}],"concepts":[{"id":"https://openalex.org/C117619785","wikidata":"https://www.wikidata.org/wiki/Q6094414","display_name":"Iterative learning control","level":3,"score":0.7534379363059998},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.662062406539917},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6270999312400818},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49252113699913025},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.48348551988601685},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.41998291015625},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.41678690910339355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39052078127861023},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3567692041397095},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32911163568496704},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3248213827610016},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3091966509819031},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1881597340106964},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2008.4739348","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4739348","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1522842874","https://openalex.org/W1562327279","https://openalex.org/W2003218659","https://openalex.org/W2017932718","https://openalex.org/W2025198294","https://openalex.org/W2041242313","https://openalex.org/W2052848225","https://openalex.org/W2063498039","https://openalex.org/W2082371315","https://openalex.org/W2110262160","https://openalex.org/W2138901013","https://openalex.org/W2143007722","https://openalex.org/W2155309390"],"related_works":["https://openalex.org/W4386994694","https://openalex.org/W4388738109","https://openalex.org/W2362901947","https://openalex.org/W2362086884","https://openalex.org/W1606071314","https://openalex.org/W2350210972","https://openalex.org/W2369126164","https://openalex.org/W1482785882","https://openalex.org/W2376218423","https://openalex.org/W2761624296"],"abstract_inverted_index":{"In":[0],"this":[1,21,58,91],"paper":[2],"we":[3],"consider":[4],"the":[5,36,47,71,77,108,118],"norm-optimal":[6,99],"iterative":[7],"learning":[8],"control":[9,73,127],"(ILC)":[10],"problem":[11,22],"for":[12,114],"discrete-time":[13],"linear":[14],"multiinput,":[15],"multioutput":[16],"systems.":[17],"The":[18],"solution":[19,59],"to":[20],"is":[23,83,111],"well":[24,112],"known":[25,113],"and":[26,43,74,90,100,123,128],"naturally":[27],"factors":[28],"into":[29,64],"a":[30,33,44,65],"form":[31,67,82],"with":[32,85],"filter":[34,45],"on":[35,46],"previous":[37,48,72,78],"control,":[38],"L":[39,50],"<sub":[40,51],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[41,52],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">u</sub>":[42],"error,":[49],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">e</sub>":[53],".":[54],"We":[55],"show":[56],"that":[57],"can":[60],"always":[61],"be":[62],"factored":[63],"Q,L":[66,109],"where":[68],"Q":[69],"filters":[70,76],"QL":[75],"error.":[79],"This":[80],"latter":[81],"popularized":[84],"frequency":[86,101],"domain":[87,102],"ILC":[88],"designs,":[89],"common":[92],"factorization":[93,110],"suggests":[94],"some":[95,115],"general":[96,122],"relationships":[97],"between":[98],"design,":[103],"which":[104],"are":[105,121],"explored.":[106],"Although":[107],"special":[116],"cases,":[117],"results":[119],"here":[120],"include":[124],"differently":[125],"dimensioned":[126],"observation":[129],"windows.":[130]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}