{"id":"https://openalex.org/W4315471997","doi":"https://doi.org/10.1109/cdc51059.2022.9992708","title":"Closed-form Estimates of the LQR Gain From Finite Data","display_name":"Closed-form Estimates of the LQR Gain From Finite Data","publication_year":2022,"publication_date":"2022-12-06","ids":{"openalex":"https://openalex.org/W4315471997","doi":"https://doi.org/10.1109/cdc51059.2022.9992708"},"language":"en","primary_location":{"id":"doi:10.1109/cdc51059.2022.9992708","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9992708","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","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/A5077499217","display_name":"Federico Celi","orcid":"https://orcid.org/0000-0001-8015-9887"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]},{"id":"https://openalex.org/I123200800","display_name":"La Sierra University","ror":"https://ror.org/05g1rjn35","country_code":"US","type":"education","lineage":["https://openalex.org/I123200800"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Federico Celi","raw_affiliation_strings":["University of California at River-Side,Department of Mechanical Engineering","Department of Mechanical Engineering, University of California at River-Side"],"affiliations":[{"raw_affiliation_string":"University of California at River-Side,Department of Mechanical Engineering","institution_ids":["https://openalex.org/I103635307","https://openalex.org/I123200800"]},{"raw_affiliation_string":"Department of Mechanical Engineering, University of California at River-Side","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070905220","display_name":"Giacomo Baggio","orcid":"https://orcid.org/0000-0002-9439-296X"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giacomo Baggio","raw_affiliation_strings":["University of Padova,Department of Information Engineering,Italy","Department of Information Engineering, University of Padova, Italy"],"affiliations":[{"raw_affiliation_string":"University of Padova,Department of Information Engineering,Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Department of Information Engineering, University of Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049920415","display_name":"Fabio Pasqualetti","orcid":"https://orcid.org/0000-0002-8457-8656"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]},{"id":"https://openalex.org/I123200800","display_name":"La Sierra University","ror":"https://ror.org/05g1rjn35","country_code":"US","type":"education","lineage":["https://openalex.org/I123200800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fabio Pasqualetti","raw_affiliation_strings":["University of California at River-Side,Department of Mechanical Engineering","Department of Mechanical Engineering, University of California at River-Side"],"affiliations":[{"raw_affiliation_string":"University of California at River-Side,Department of Mechanical Engineering","institution_ids":["https://openalex.org/I103635307","https://openalex.org/I123200800"]},{"raw_affiliation_string":"Department of Mechanical Engineering, University of California at River-Side","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077499217"],"corresponding_institution_ids":["https://openalex.org/I103635307","https://openalex.org/I123200800"],"apc_list":null,"apc_paid":null,"fwci":2.1225,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.89878665,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"4016","last_page":"4021"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","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/T11236","display_name":"Control Systems and Identification","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"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9994999766349792,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9976000189781189,"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/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.7941181659698486},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6797724962234497},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.563811182975769},{"id":"https://openalex.org/keywords/horizon","display_name":"Horizon","score":0.5602195262908936},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.53486567735672},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5220953226089478},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5114749670028687},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5018532276153564},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.49218812584877014},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.48153263330459595},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.45347124338150024},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.44079411029815674},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36977678537368774},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3256368041038513},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32220330834388733},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.30691784620285034},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14899283647537231},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1171891987323761}],"concepts":[{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.7941181659698486},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6797724962234497},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.563811182975769},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.5602195262908936},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.53486567735672},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5220953226089478},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5114749670028687},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5018532276153564},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.49218812584877014},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.48153263330459595},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.45347124338150024},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.44079411029815674},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36977678537368774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3256368041038513},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32220330834388733},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.30691784620285034},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14899283647537231},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1171891987323761},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc51059.2022.9992708","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc51059.2022.9992708","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:www.research.unipd.it:11577/3471478","is_oa":false,"landing_page_url":"https://hdl.handle.net/11577/3471478","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1963593426","https://openalex.org/W1976499408","https://openalex.org/W1983313164","https://openalex.org/W1995708171","https://openalex.org/W2018691083","https://openalex.org/W2037025184","https://openalex.org/W2062833613","https://openalex.org/W2065313971","https://openalex.org/W2854640194","https://openalex.org/W2943040161","https://openalex.org/W2952672134","https://openalex.org/W2967875632","https://openalex.org/W2972609400","https://openalex.org/W2979207987","https://openalex.org/W2980070341","https://openalex.org/W2995764727","https://openalex.org/W2999535065","https://openalex.org/W3012628720","https://openalex.org/W3012986867","https://openalex.org/W3016165507","https://openalex.org/W3024869475","https://openalex.org/W3045910362","https://openalex.org/W3090527688","https://openalex.org/W3119438804","https://openalex.org/W3136379840","https://openalex.org/W3154151770","https://openalex.org/W3154828760","https://openalex.org/W4210244126","https://openalex.org/W4210313760","https://openalex.org/W4210968171","https://openalex.org/W4250589301","https://openalex.org/W4285219056","https://openalex.org/W4388319978"],"related_works":["https://openalex.org/W2390716300","https://openalex.org/W2379160467","https://openalex.org/W2969695033","https://openalex.org/W350588114","https://openalex.org/W2732818610","https://openalex.org/W2022276156","https://openalex.org/W2645128930","https://openalex.org/W2012266068","https://openalex.org/W3165044652","https://openalex.org/W1756881173"],"abstract_inverted_index":{"When":[0],"dealing":[1],"with":[2,13],"unknown":[3,31],"systems,":[4],"data":[5,44],"can":[6],"be":[7],"used":[8],"to":[9,26],"directly":[10,34],"learn":[11],"controllers":[12],"desirable":[14],"features,":[15],"thus":[16],"bypassing":[17],"system":[18],"identification.":[19],"In":[20,41],"this":[21],"paper":[22],"we":[23,49,67],"present":[24],"strategies":[25],"design":[27],"optimal":[28],"controls":[29],"for":[30],"linear":[32],"systems":[33],"trough":[35],"closed-form":[36],"functions":[37],"of":[38,60,75,100],"the":[39,51,61,73,76,87],"data.":[40],"particular,":[42],"when":[43],"is":[45],"sufficiently":[46],"informative,":[47],"(i)":[48],"find":[50],"control":[52],"input":[53],"that":[54,80],"minimizes":[55,81],"a":[56],"finite-horizon":[57],"quadratic":[58,84],"function":[59],"states":[62],"and":[63,65,99],"inputs":[64,71],"(ii)":[66],"show":[68],"how":[69],"these":[70],"enable":[72],"estimate":[74],"static":[77],"feedback":[78],"controller":[79],"an":[82],"infinite-horizon":[83],"function,":[85],"i.e.,":[86],"Linear":[88],"Quadratic":[89],"Regulator.":[90],"Our":[91],"formulas":[92],"are":[93],"closed-form,":[94],"making":[95],"them":[96],"computationally":[97],"efficient":[98],"straightforward":[101],"interpretation.":[102]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}