{"id":"https://openalex.org/W2004055102","doi":"https://doi.org/10.1109/acc.2014.6858762","title":"Output feedback economic model predictive control of parabolic PDE systems","display_name":"Output feedback economic model predictive control of parabolic PDE systems","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2004055102","doi":"https://doi.org/10.1109/acc.2014.6858762","mag":"2004055102"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2014.6858762","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2014.6858762","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 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/A5019654662","display_name":"Liangfeng Lao","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Liangfeng Lao","raw_affiliation_strings":["University of California Los Angeles, Los Angeles, CA, US","Dept. of Chem. & Biomol. Eng., Univ. of California Los Angeles, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California Los Angeles, Los Angeles, CA, US","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Dept. of Chem. & Biomol. Eng., Univ. of California Los Angeles, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043409810","display_name":"Matthew J. Ellis","orcid":"https://orcid.org/0000-0003-3764-7783"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew Ellis","raw_affiliation_strings":["University of California Los Angeles, Los Angeles, CA, US","Dept. of Chem. & Biomol. Eng., Univ. of California Los Angeles, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California Los Angeles, Los Angeles, CA, US","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Dept. of Chem. & Biomol. Eng., Univ. of California Los Angeles, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002367171","display_name":"Panagiotis D. Christofides","orcid":"https://orcid.org/0000-0002-8772-4348"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Panagiotis D. Christofides","raw_affiliation_strings":["University of California Los Angeles, Los Angeles, CA, US","Dept. of Chem. & Biomol. Eng., Univ. of California Los Angeles, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California Los Angeles, Los Angeles, CA, US","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Dept. of Chem. & Biomol. Eng., Univ. of California Los Angeles, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09260463,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":null,"first_page":"1655","last_page":"1660"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9975000023841858,"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":0.9975000023841858,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9661999940872192,"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":0.75092613697052},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.6483978629112244},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.5865203142166138},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5861814022064209},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5843441486358643},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.4906546175479889},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4776141345500946},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.47187820076942444},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44174331426620483},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4274146854877472},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4016153812408447},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19367122650146484},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1432698369026184},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08694705367088318}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.75092613697052},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.6483978629112244},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.5865203142166138},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5861814022064209},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5843441486358643},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.4906546175479889},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4776141345500946},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.47187820076942444},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44174331426620483},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4274146854877472},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4016153812408447},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19367122650146484},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1432698369026184},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08694705367088318},{"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/acc.2014.6858762","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2014.6858762","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 American Control Conference","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":23,"referenced_works":["https://openalex.org/W40130861","https://openalex.org/W1973037882","https://openalex.org/W1997138061","https://openalex.org/W1999424963","https://openalex.org/W2016692573","https://openalex.org/W2021307129","https://openalex.org/W2027162216","https://openalex.org/W2078707336","https://openalex.org/W2081264254","https://openalex.org/W2081952592","https://openalex.org/W2082452351","https://openalex.org/W2087736926","https://openalex.org/W2094570264","https://openalex.org/W2111412193","https://openalex.org/W2128163097","https://openalex.org/W2135846990","https://openalex.org/W2140563796","https://openalex.org/W2166384484","https://openalex.org/W2170716704","https://openalex.org/W2327846973","https://openalex.org/W4235025538","https://openalex.org/W4256005802","https://openalex.org/W6701332156"],"related_works":["https://openalex.org/W1967450583","https://openalex.org/W2066764747","https://openalex.org/W2354582784","https://openalex.org/W2385175414","https://openalex.org/W1972359478","https://openalex.org/W2083817219","https://openalex.org/W2264582182","https://openalex.org/W3047860677","https://openalex.org/W1850237974","https://openalex.org/W2969693569"],"abstract_inverted_index":{"We":[0],"proposed":[1],"an":[2,60],"economic":[3],"model":[4,127],"predictive":[5],"control":[6],"(EMPC)":[7],"system":[8,20,64,84],"for":[9,67,76],"parabolic":[10,79],"partial":[11],"differential":[12],"equation":[13],"(PDE)":[14],"systems":[15],"in":[16],"[17].":[17],"The":[18,82],"EMPC":[19,63,83,93],"assumed":[21],"the":[22,25,42,116,124],"knowledge":[23],"of":[24,38,41,52,100,108,112,126],"complete":[26],"state":[27,43,72,132],"spatial":[28,53],"profile":[29],"at":[30,48],"each":[31,95],"sampling":[32],"period.":[33],"From":[34],"a":[35,49,77,88,97],"practical":[36,58],"point":[37],"view,":[39],"measurements":[40],"variables":[44],"are":[45,119],"available":[46],"only":[47],"finite":[50],"number":[51,99,111],"positions.":[54],"To":[55],"address":[56],"this":[57],"consideration,":[59],"output":[61],"feedback":[62],"that":[65],"accounts":[66],"both":[68],"manipulated":[69],"input":[70,130],"and":[71,103,121,129,131],"constraints":[73],"is":[74,85],"developed":[75],"quasi-linear":[78],"PDE":[80],"system.":[81],"applied":[86],"to":[87],"non-isothermal":[89],"tubular":[90],"reactor.":[91],"Two":[92],"systems,":[94],"utilizing":[96],"different":[98],"measurement":[101],"sensors":[102],"formulated":[104],"with":[105],"various":[106],"degrees":[107],"accuracy":[109],"(i.e.,":[110],"modes":[113],"retained":[114],"from":[115],"infinite-dimensional":[117],"model),":[118],"presented":[120],"compared":[122],"on":[123],"basis":[125],"accuracy,":[128],"constraint":[133],"satisfaction.":[134]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
