{"id":"https://openalex.org/W3082840311","doi":"https://doi.org/10.1109/tac.2020.3020100","title":"Output Feedback Constrained Regulation of Linear Systems via Controlled-Invariant Sets","display_name":"Output Feedback Constrained Regulation of Linear Systems via Controlled-Invariant Sets","publication_year":2020,"publication_date":"2020-08-28","ids":{"openalex":"https://openalex.org/W3082840311","doi":"https://doi.org/10.1109/tac.2020.3020100","mag":"3082840311"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2020.3020100","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.3020100","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":["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/A5046777457","display_name":"Tiago A. Almeida","orcid":"https://orcid.org/0000-0002-0648-1293"},"institutions":[{"id":"https://openalex.org/I35046152","display_name":"Universidade Federal do Rio Grande do Norte","ror":"https://ror.org/04wn09761","country_code":"BR","type":"education","lineage":["https://openalex.org/I35046152"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Tiago A. Almeida","raw_affiliation_strings":["Department of Computer Engineering and Automation, Federal University of Rio Grande do Norte, Natal, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-0648-1293","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering and Automation, Federal University of Rio Grande do Norte, Natal, Brazil","institution_ids":["https://openalex.org/I35046152"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062837641","display_name":"Carlos E.T. D\u00f3rea","orcid":"https://orcid.org/0000-0002-3999-2874"},"institutions":[{"id":"https://openalex.org/I35046152","display_name":"Universidade Federal do Rio Grande do Norte","ror":"https://ror.org/04wn09761","country_code":"BR","type":"education","lineage":["https://openalex.org/I35046152"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Carlos E. T. Dorea","raw_affiliation_strings":["Department of Computer Engineering and Automation, Federal University of Rio Grande do Norte, Natal, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-3999-2874","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering and Automation, Federal University of Rio Grande do Norte, Natal, Brazil","institution_ids":["https://openalex.org/I35046152"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0425,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.76769919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"66","issue":"7","first_page":"3378","last_page":"3385"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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/T10791","display_name":"Advanced Control Systems Optimization","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":0.9962999820709229,"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/T11236","display_name":"Control Systems and Identification","score":0.9958999752998352,"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/control-theory","display_name":"Control theory (sociology)","score":0.7422013282775879},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6437705159187317},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5705769062042236},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5670115351676941},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5559769868850708},{"id":"https://openalex.org/keywords/state-estimator","display_name":"State estimator","score":0.49050062894821167},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.49017244577407837},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.487265944480896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4868001639842987},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.44744330644607544},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4340384006500244},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4302378296852112},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4142634868621826},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3724851608276367},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3493601679801941},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25584664940834045},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1846180260181427}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7422013282775879},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6437705159187317},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5705769062042236},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5670115351676941},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5559769868850708},{"id":"https://openalex.org/C2984536560","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State estimator","level":3,"score":0.49050062894821167},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.49017244577407837},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.487265944480896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4868001639842987},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.44744330644607544},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4340384006500244},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4302378296852112},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4142634868621826},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3724851608276367},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3493601679801941},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25584664940834045},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1846180260181427},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2020.3020100","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.3020100","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W180677656","https://openalex.org/W1524886571","https://openalex.org/W1590999193","https://openalex.org/W1963547452","https://openalex.org/W2001692419","https://openalex.org/W2014549826","https://openalex.org/W2023315473","https://openalex.org/W2061081523","https://openalex.org/W2097506640","https://openalex.org/W2101138302","https://openalex.org/W2102534402","https://openalex.org/W2119974577","https://openalex.org/W2139254027","https://openalex.org/W2163566850","https://openalex.org/W2171873373","https://openalex.org/W2736271421","https://openalex.org/W2766201701","https://openalex.org/W2779229724","https://openalex.org/W2783405923","https://openalex.org/W2897113917","https://openalex.org/W2901873560","https://openalex.org/W4231039456","https://openalex.org/W4233558979","https://openalex.org/W4299730090"],"related_works":["https://openalex.org/W2916043681","https://openalex.org/W2896131632","https://openalex.org/W2391438543","https://openalex.org/W2008231869","https://openalex.org/W323119424","https://openalex.org/W2551069560","https://openalex.org/W1972258194","https://openalex.org/W2522231841","https://openalex.org/W2065436195","https://openalex.org/W3184875346"],"abstract_inverted_index":{"Design":[0],"of":[1,40,69,91,119,157],"output":[2,61,81],"feedback":[3,21,62],"controllers":[4],"applied":[5],"to":[6,27,54,104,124,151,167],"the":[7,38,67,79,84,92,106,111,117,125,137,140,145,171],"regulation":[8],"problem":[9],"for":[10,50,73],"constrained":[11],"linear":[12,102],"discrete-time":[13],"systems":[14],"via":[15,101],"set-invariance":[16],"techniques":[17],"is":[18,64,99,113,149],"studied.":[19],"Output":[20],"controlled-invariant":[22],"(OFCI)":[23],"polyhedra":[24],"are":[25,34,57],"used":[26],"ensure":[28],"that":[29],"state":[30,112],"and":[31,43,47,82,143,161],"input":[32],"constraints":[33],"satisfied":[35],"even":[36],"in":[37,139,170],"presence":[39],"additive":[41],"disturbances":[42],"measurement":[44],"noise.":[45],"Necessary":[46],"sufficient":[48],"conditions":[49],"a":[51,95],"polyhedral":[52],"set":[53,72,122],"be":[55],"OFCI":[56,71,146],"presented.":[58],"A":[59],"dynamic":[60],"compensator":[63,85,141],"proposed":[65],"through":[66,132],"construction":[68],"an":[70,74,89,120],"augmented":[75],"system.":[76],"Based":[77],"on":[78,83,110],"measured":[80],"state,":[86,94],"which":[87],"constitutes":[88],"estimate":[90],"system":[93],"suitable":[96],"control":[97],"sequence":[98],"computed":[100],"programming":[103],"enforce":[105],"constraints.":[107],"The":[108],"uncertainty":[109],"progressively":[114],"reduced":[115],"using":[116,144],"contraction":[118],"invariant":[121],"associated":[123],"estimator.":[126],"With":[127],"our":[128],"approach,":[129],"as":[130],"illustrated":[131],"numerical":[133],"examples,":[134],"by":[135],"embedding":[136],"estimator":[138],"structure":[142],"concept,":[147],"it":[148],"possible":[150],"obtain":[152],"solutions":[153],"with":[154],"larger":[155],"sets":[156],"admissible":[158,162],"initial":[159,163],"states":[160],"estimation":[164],"errors,":[165],"compared":[166],"approaches":[168],"available":[169],"literature.":[172]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}