{"id":"https://openalex.org/W2039286413","doi":"https://doi.org/10.1109/ecc.2014.6862270","title":"Real-time economic optimization for a fermentation process using Model Predictive Control","display_name":"Real-time economic optimization for a fermentation process using Model Predictive Control","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2039286413","doi":"https://doi.org/10.1109/ecc.2014.6862270","mag":"2039286413"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2014.6862270","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2014.6862270","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://orbit.dtu.dk/en/publications/c516625a-3498-45d7-9c6c-339703e8ad38","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053736609","display_name":"Lars Norbert Petersen","orcid":null},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Lars Norbert Petersen","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Technical University of Denmark, S\u00d8borg, Denmark","Dept. of Appl. Math. & Comput. Sci., Tech. Univ. of Denmark, Lyngby, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark, S\u00d8borg, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Dept. of Appl. Math. & Comput. Sci., Tech. Univ. of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050946774","display_name":"John Bagterp J\u00f8rgensen","orcid":"https://orcid.org/0000-0001-9799-2808"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"John Bagterp Jorgensen","raw_affiliation_strings":["Dept. of Appl. Math. & Comput. Sci., Tech. Univ. of Denmark, Lyngby, Denmark"],"affiliations":[{"raw_affiliation_string":"Dept. of Appl. Math. & Comput. Sci., Tech. Univ. of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053736609"],"corresponding_institution_ids":["https://openalex.org/I96673099"],"apc_list":null,"apc_paid":null,"fwci":2.4572,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.89738831,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1831","last_page":"1836"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9995999932289124,"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":0.9995999932289124,"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/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11207","display_name":"Alcohol Consumption and Health Effects","score":0.9742000102996826,"subfield":{"id":"https://openalex.org/subfields/2734","display_name":"Pathology and Forensic Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.8170775175094604},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5723941326141357},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5459749102592468},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5328365564346313},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5278931856155396},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5153531432151794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.496498167514801},{"id":"https://openalex.org/keywords/process-control","display_name":"Process control","score":0.48911720514297485},{"id":"https://openalex.org/keywords/process-optimization","display_name":"Process optimization","score":0.4883532226085663},{"id":"https://openalex.org/keywords/economic-model","display_name":"Economic model","score":0.47099488973617554},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4547341465950012},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4153417944908142},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.39778876304626465},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.29301851987838745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27718478441238403},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16354194283485413},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.119566410779953},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11153659224510193}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.8170775175094604},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5723941326141357},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5459749102592468},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5328365564346313},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5278931856155396},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5153531432151794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.496498167514801},{"id":"https://openalex.org/C155386361","wikidata":"https://www.wikidata.org/wiki/Q1649571","display_name":"Process control","level":3,"score":0.48911720514297485},{"id":"https://openalex.org/C115952470","wikidata":"https://www.wikidata.org/wiki/Q332172","display_name":"Process optimization","level":2,"score":0.4883532226085663},{"id":"https://openalex.org/C119693030","wikidata":"https://www.wikidata.org/wiki/Q2180497","display_name":"Economic model","level":2,"score":0.47099488973617554},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4547341465950012},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4153417944908142},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.39778876304626465},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.29301851987838745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27718478441238403},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16354194283485413},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.119566410779953},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11153659224510193},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C87717796","wikidata":"https://www.wikidata.org/wiki/Q146326","display_name":"Environmental engineering","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ecc.2014.6862270","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2014.6862270","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.atira.dk:publications/c516625a-3498-45d7-9c6c-339703e8ad38","is_oa":true,"landing_page_url":"https://orbit.dtu.dk/en/publications/c516625a-3498-45d7-9c6c-339703e8ad38","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Petersen , L N & J\u00f8rgensen , J B 2014 , Real-time economic optimization for a fermentation process using Model Predictive Control . in Proceedings of European Control Conference (ECC) 2014 . IEEE , pp. 1831-1836 , 13th European Control Conference (ECC) 2014 , Strasbourg , France , 24/06/2014 . https://doi.org/10.1109/ECC.2014.6862270","raw_type":"contributionToPeriodical"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:publications/c516625a-3498-45d7-9c6c-339703e8ad38","is_oa":true,"landing_page_url":"https://orbit.dtu.dk/en/publications/c516625a-3498-45d7-9c6c-339703e8ad38","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Petersen , L N & J\u00f8rgensen , J B 2014 , Real-time economic optimization for a fermentation process using Model Predictive Control . in Proceedings of European Control Conference (ECC) 2014 . IEEE , pp. 1831-1836 , 13th European Control Conference (ECC) 2014 , Strasbourg , France , 24/06/2014 . https://doi.org/10.1109/ECC.2014.6862270","raw_type":"contributionToPeriodical"},"sustainable_development_goals":[{"display_name":"Responsible consumption and production","id":"https://metadata.un.org/sdg/12","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W579755201","https://openalex.org/W1529344387","https://openalex.org/W1534715672","https://openalex.org/W1562460111","https://openalex.org/W1966920046","https://openalex.org/W1967800450","https://openalex.org/W1968381023","https://openalex.org/W1971777399","https://openalex.org/W2004584144","https://openalex.org/W2040871402","https://openalex.org/W2069581154","https://openalex.org/W2090988566","https://openalex.org/W2163632039","https://openalex.org/W2186697299","https://openalex.org/W4285719527","https://openalex.org/W6633748999"],"related_works":["https://openalex.org/W2060165215","https://openalex.org/W1973471600","https://openalex.org/W2396444450","https://openalex.org/W2343434239","https://openalex.org/W2161068183","https://openalex.org/W2495776151","https://openalex.org/W2460529337","https://openalex.org/W4285728490","https://openalex.org/W2514101840","https://openalex.org/W4381296262"],"abstract_inverted_index":{"Fermentation":[0],"is":[1,21,32,59,80],"a":[2,42,47],"widely":[3],"used":[4],"process":[5,49,116],"in":[6,54,75],"production":[7],"of":[8,17,25,37,71,111],"many":[9],"foods,":[10],"beverages,":[11],"and":[12,29,50,73,92,105,136],"pharmaceuticals.":[13],"The":[14,57,78,99,115],"main":[15,35],"goal":[16,36],"the":[18,26,34,95,102,106,112,123,128,132,140],"control":[19],"system":[20],"to":[22,120,131],"maximize":[23],"profit":[24],"fermentation":[27,48],"process,":[28],"thus":[30],"this":[31,38],"also":[33,93],"paper.":[39],"We":[40],"present":[41],"simple":[43],"dynamic":[44],"model":[45,58],"for":[46,109],"demonstrate":[51],"its":[52],"usefulness":[53],"economic":[55,133],"optimization.":[56],"formulated":[60],"as":[61],"an":[62],"index-1":[63,96],"differential":[64],"algebraic":[65],"equation":[66],"(DAE),":[67],"which":[68],"guarantees":[69],"conservation":[70],"mass":[72],"energy":[74],"discrete":[76],"form.":[77],"optimization":[79,113,134],"based":[81],"on":[82,122],"recent":[83],"advances":[84],"within":[85],"Economic":[86],"Nonlinear":[87],"Model":[88],"Predictive":[89],"Control":[90],"(E-NMPC),":[91],"utilizes":[94],"DAE":[97],"model.":[98],"E-NMPC":[100],"uses":[101],"single-shooting":[103],"method":[104,108],"adjoint":[107],"computation":[110],"gradients.":[114],"constraints":[117],"are":[118],"relaxed":[119],"soft-constraints":[121],"outputs.":[124],"Finally":[125],"we":[126],"derive":[127],"analytical":[129],"solution":[130],"problem":[135],"compare":[137],"it":[138],"with":[139],"numerically":[141],"determined":[142],"solution.":[143]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}