{"id":"https://openalex.org/W2145562721","doi":"https://doi.org/10.1109/acc.2011.5990636","title":"Robust model predictive control for LPV systems with delayed state using relaxation matrices","display_name":"Robust model predictive control for LPV systems with delayed state using relaxation matrices","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2145562721","doi":"https://doi.org/10.1109/acc.2011.5990636","mag":"2145562721"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2011.5990636","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5990636","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","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/A5003412235","display_name":"Sangmoon Lee","orcid":"https://orcid.org/0000-0001-8252-952X"},"institutions":[{"id":"https://openalex.org/I9323808","display_name":"Daegu University","ror":"https://ror.org/01zqccq48","country_code":"KR","type":"education","lineage":["https://openalex.org/I9323808"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"S. M. Lee","raw_affiliation_strings":["School of Electronics Engineering, Daegu University, Kyongsan, South Korea","School of Electronics Engineering, Daegu University, Kyongsan, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"School of Electronics Engineering, Daegu University, Kyongsan, South Korea","institution_ids":["https://openalex.org/I9323808"]},{"raw_affiliation_string":"School of Electronics Engineering, Daegu University, Kyongsan, Republic of Korea","institution_ids":["https://openalex.org/I9323808"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009977260","display_name":"Seongcheol Jeong","orcid":"https://orcid.org/0000-0002-7123-1995"},"institutions":[{"id":"https://openalex.org/I123900574","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12","country_code":"KR","type":"education","lineage":["https://openalex.org/I123900574"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"S. C. Jeong","raw_affiliation_strings":["Department of Electronic and Electrical Engineering, POSTECH, Pohang, South Korea","Dept. of Electronic and Electrical Engineering POSTECH, Pohang Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Electronic and Electrical Engineering, POSTECH, Pohang, South Korea","institution_ids":["https://openalex.org/I123900574"]},{"raw_affiliation_string":"Dept. of Electronic and Electrical Engineering POSTECH, Pohang Republic of Korea","institution_ids":["https://openalex.org/I123900574"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009628947","display_name":"D.H. Ji","orcid":"https://orcid.org/0000-0002-7593-3513"},"institutions":[{"id":"https://openalex.org/I2250650973","display_name":"Samsung (South Korea)","ror":"https://ror.org/04w3jy968","country_code":"KR","type":"company","lineage":["https://openalex.org/I2250650973"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"D. H. Ji","raw_affiliation_strings":["Digital Media and Communications, Samsung Electronics Company Limited, Suwon, South Korea","Digital Media and Communications, Samsung Electronics, Suwon, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Digital Media and Communications, Samsung Electronics Company Limited, Suwon, South Korea","institution_ids":["https://openalex.org/I2250650973"]},{"raw_affiliation_string":"Digital Media and Communications, Samsung Electronics, Suwon, Republic of Korea","institution_ids":["https://openalex.org/I2250650973"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101573963","display_name":"Sangchul Won","orcid":"https://orcid.org/0000-0002-8351-540X"},"institutions":[{"id":"https://openalex.org/I123900574","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12","country_code":"KR","type":"education","lineage":["https://openalex.org/I123900574"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"S. C. Won","raw_affiliation_strings":["Department of Electronic and Electrical Engineering, POSTECH, Pohang, South Korea","Dept. of Electronic and Electrical Engineering POSTECH, Pohang Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Electronic and Electrical Engineering, POSTECH, Pohang, South Korea","institution_ids":["https://openalex.org/I123900574"]},{"raw_affiliation_string":"Dept. of Electronic and Electrical Engineering POSTECH, Pohang Republic of Korea","institution_ids":["https://openalex.org/I123900574"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5003412235"],"corresponding_institution_ids":["https://openalex.org/I9323808"],"apc_list":null,"apc_paid":null,"fwci":2.61,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.91256544,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"716","last_page":"721"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9987000226974487,"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":0.9976999759674072,"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/model-predictive-control","display_name":"Model predictive control","score":0.7691279649734497},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7179633378982544},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6580420732498169},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6185673475265503},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5834365487098694},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5507873892784119},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5345920920372009},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5313349962234497},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5202125906944275},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47335052490234375},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.46333539485931396},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4477981925010681},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4382937252521515},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.414334774017334},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4109695851802826},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36823374032974243},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32777440547943115},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.31886720657348633},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19509223103523254},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16168054938316345},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.125438392162323},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.06161835789680481}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.7691279649734497},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7179633378982544},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6580420732498169},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6185673475265503},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5834365487098694},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5507873892784119},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5345920920372009},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5313349962234497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5202125906944275},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47335052490234375},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.46333539485931396},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4477981925010681},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4382937252521515},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.414334774017334},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4109695851802826},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36823374032974243},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32777440547943115},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.31886720657348633},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19509223103523254},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16168054938316345},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.125438392162323},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.06161835789680481},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2011.5990636","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5990636","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1976410223","https://openalex.org/W1996515968","https://openalex.org/W2001597435","https://openalex.org/W2038328662","https://openalex.org/W2050270339","https://openalex.org/W2056259110","https://openalex.org/W2057111796","https://openalex.org/W2065591636","https://openalex.org/W2130889291","https://openalex.org/W2132591780","https://openalex.org/W2137754687","https://openalex.org/W2141011228","https://openalex.org/W2166332614","https://openalex.org/W2168969149","https://openalex.org/W2417903161","https://openalex.org/W2463908258","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2060195842","https://openalex.org/W2131905798","https://openalex.org/W2291706033","https://openalex.org/W2163959792","https://openalex.org/W2131901345","https://openalex.org/W2351497412","https://openalex.org/W4237975505","https://openalex.org/W9759607","https://openalex.org/W1799738493","https://openalex.org/W2155614410"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3],"model":[4],"predictive":[5],"control":[6],"(MPC)":[7],"algorithm":[8,59],"for":[9],"Linear":[10],"Parameter":[11],"Varying":[12],"(LPV)":[13],"systems":[14],"with":[15,25,60],"unknown":[16],"bounded":[17],"delay,":[18,27],"subject":[19],"to":[20,76],"input":[21],"constraints.":[22],"To":[23],"deal":[24],"the":[26,35,53,61,64,68,78,81],"an":[28],"optimization":[29],"problem":[30],"is":[31,74],"formulated":[32],"by":[33],"applying":[34],"equivalence":[36],"property.":[37],"Sufficient":[38],"conditions":[39,62],"are":[40],"derived":[41],"in":[42],"terms":[43],"of":[44,67,80],"linear":[45],"matrix":[46],"inequalities":[47],"(LMIs)":[48],"using":[49],"relaxation":[50],"matrices,":[51],"satisfying":[52],"terminal":[54],"inequality.":[55],"The":[56],"proposed":[57,82],"MPC":[58],"guarantees":[63],"asymptotic":[65],"stability":[66],"closed-loop":[69],"system.":[70],"A":[71],"numerical":[72],"example":[73],"presented":[75],"illustrate":[77],"effectiveness":[79],"method.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}