{"id":"https://openalex.org/W1623852497","doi":"https://doi.org/10.23919/ecc.2013.6669229","title":"Optimizing the anaerobic digestion of microalgae in a coupled process","display_name":"Optimizing the anaerobic digestion of microalgae in a coupled process","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1623852497","doi":"https://doi.org/10.23919/ecc.2013.6669229","mag":"1623852497"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669229","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669229","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"preprint","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/A5034967527","display_name":"T\u00e9rence Bayen","orcid":"https://orcid.org/0000-0002-0303-6581"},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Terence Bayen","raw_affiliation_strings":["Universit\u00e9 Montpellier 2, Montpellier, France","Univ. Montpellier 2, Montpellier, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Montpellier 2, Montpellier, France","institution_ids":["https://openalex.org/I19894307"]},{"raw_affiliation_string":"Univ. Montpellier 2, Montpellier, France","institution_ids":["https://openalex.org/I19894307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084554345","display_name":"Francis Mairet","orcid":"https://orcid.org/0000-0002-3236-9772"},"institutions":[{"id":"https://openalex.org/I149744451","display_name":"Valparaiso University","ror":"https://ror.org/01pp0fx48","country_code":"US","type":"education","lineage":["https://openalex.org/I149744451"]},{"id":"https://openalex.org/I4210138643","display_name":"Universidad T\u00e9cnica Federico Santa Mar\u00eda","ror":"https://ror.org/02zbepj77","country_code":"EC","type":"education","lineage":["https://openalex.org/I4210138643"]},{"id":"https://openalex.org/I75778554","display_name":"Federico Santa Mar\u00eda Technical University","ror":"https://ror.org/05510vn56","country_code":"CL","type":"education","lineage":["https://openalex.org/I75778554"]}],"countries":["CL","EC","US"],"is_corresponding":false,"raw_author_name":"Francis Mairet","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidad T\u00e9cnica Federico Santa Mar\u00eda","Dept. de Mat., Univ. Tec. Federico Santa Maria, Valparaiso, Chile"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidad T\u00e9cnica Federico Santa Mar\u00eda","institution_ids":["https://openalex.org/I4210138643","https://openalex.org/I75778554"]},{"raw_affiliation_string":"Dept. de Mat., Univ. Tec. Federico Santa Maria, Valparaiso, Chile","institution_ids":["https://openalex.org/I149744451"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086467621","display_name":"Pierre Martinon","orcid":"https://orcid.org/0000-0003-0571-2376"},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Martinon","raw_affiliation_strings":["INRIA Saclay, Ecole Polytechnique, Palaiseau, France","Ecole Polytech., INRIA Saclay, UPMC, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"INRIA Saclay, Ecole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Ecole Polytech., INRIA Saclay, UPMC, Palaiseau, France","institution_ids":["https://openalex.org/I29607241","https://openalex.org/I142476485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045954992","display_name":"Matthieu Sebbah","orcid":null},"institutions":[{"id":"https://openalex.org/I4210106545","display_name":"Research Centre Inria Sophia Antipolis - M\u00e9diterran\u00e9e","ror":"https://ror.org/01nzkaw91","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106545"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Matthieu Sebbah","raw_affiliation_strings":["INRA-INRIA \u2018MODEMIC\u2019 team, INRIA Sophia-Antipolis M\u00e9diterran\u00e9e, Montpellier","INRA-INRIA `MODEMIC' team, INRIA Sophia-Antipolis Mediterranee, Montpellier, France"],"affiliations":[{"raw_affiliation_string":"INRA-INRIA \u2018MODEMIC\u2019 team, INRIA Sophia-Antipolis M\u00e9diterran\u00e9e, Montpellier","institution_ids":["https://openalex.org/I4210106545","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRA-INRIA `MODEMIC' team, INRIA Sophia-Antipolis Mediterranee, Montpellier, France","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5034967527"],"corresponding_institution_ids":["https://openalex.org/I19894307"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09186797,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1218","last_page":"1223"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10476","display_name":"Algal biology and biofuel production","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2105","display_name":"Renewable Energy, Sustainability and the Environment"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10476","display_name":"Algal biology and biofuel production","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2105","display_name":"Renewable Energy, Sustainability and the Environment"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9452999830245972,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bioreactor","display_name":"Bioreactor","score":0.6650021076202393},{"id":"https://openalex.org/keywords/dilution","display_name":"Dilution","score":0.5909023284912109},{"id":"https://openalex.org/keywords/anaerobic-digestion","display_name":"Anaerobic digestion","score":0.5668150782585144},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5626022815704346},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5569291114807129},{"id":"https://openalex.org/keywords/pontryagins-minimum-principle","display_name":"Pontryagin's minimum principle","score":0.5156984925270081},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5060872435569763},{"id":"https://openalex.org/keywords/biochemical-engineering","display_name":"Biochemical engineering","score":0.4955538511276245},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4864180088043213},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4802253842353821},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4451627731323242},{"id":"https://openalex.org/keywords/process-engineering","display_name":"Process engineering","score":0.4368010461330414},{"id":"https://openalex.org/keywords/algae","display_name":"Algae","score":0.4242829382419586},{"id":"https://openalex.org/keywords/process-control","display_name":"Process control","score":0.416534960269928},{"id":"https://openalex.org/keywords/production-rate","display_name":"Production rate","score":0.4107424318790436},{"id":"https://openalex.org/keywords/pulp-and-paper-industry","display_name":"Pulp and paper industry","score":0.35069799423217773},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.308874249458313},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2874458432197571},{"id":"https://openalex.org/keywords/methane","display_name":"Methane","score":0.28422239422798157},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.28418534994125366},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.24617955088615417},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2174491584300995},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.17819222807884216},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.12638545036315918},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.1260530948638916},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11652901768684387}],"concepts":[{"id":"https://openalex.org/C168170006","wikidata":"https://www.wikidata.org/wiki/Q864699","display_name":"Bioreactor","level":2,"score":0.6650021076202393},{"id":"https://openalex.org/C96618451","wikidata":"https://www.wikidata.org/wiki/Q3028008","display_name":"Dilution","level":2,"score":0.5909023284912109},{"id":"https://openalex.org/C499616599","wikidata":"https://www.wikidata.org/wiki/Q555853","display_name":"Anaerobic digestion","level":3,"score":0.5668150782585144},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5626022815704346},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5569291114807129},{"id":"https://openalex.org/C141803461","wikidata":"https://www.wikidata.org/wiki/Q3491629","display_name":"Pontryagin's minimum principle","level":3,"score":0.5156984925270081},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5060872435569763},{"id":"https://openalex.org/C183696295","wikidata":"https://www.wikidata.org/wiki/Q2487696","display_name":"Biochemical engineering","level":1,"score":0.4955538511276245},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4864180088043213},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4802253842353821},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4451627731323242},{"id":"https://openalex.org/C21880701","wikidata":"https://www.wikidata.org/wiki/Q2144042","display_name":"Process engineering","level":1,"score":0.4368010461330414},{"id":"https://openalex.org/C559758991","wikidata":"https://www.wikidata.org/wiki/Q37868","display_name":"Algae","level":2,"score":0.4242829382419586},{"id":"https://openalex.org/C155386361","wikidata":"https://www.wikidata.org/wiki/Q1649571","display_name":"Process control","level":3,"score":0.416534960269928},{"id":"https://openalex.org/C3020597237","wikidata":"https://www.wikidata.org/wiki/Q7798498","display_name":"Production rate","level":2,"score":0.4107424318790436},{"id":"https://openalex.org/C528095902","wikidata":"https://www.wikidata.org/wiki/Q2283886","display_name":"Pulp and paper industry","level":1,"score":0.35069799423217773},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.308874249458313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2874458432197571},{"id":"https://openalex.org/C516920438","wikidata":"https://www.wikidata.org/wiki/Q37129","display_name":"Methane","level":2,"score":0.28422239422798157},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28418534994125366},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.24617955088615417},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2174491584300995},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.17819222807884216},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.12638545036315918},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.1260530948638916},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11652901768684387},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2013.6669229","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669229","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7099999785423279,"id":"https://metadata.un.org/sdg/6","display_name":"Clean water and sanitation"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W113966369","https://openalex.org/W429124266","https://openalex.org/W598851308","https://openalex.org/W1525381351","https://openalex.org/W1527244075","https://openalex.org/W1676175725","https://openalex.org/W1970718404","https://openalex.org/W1970725153","https://openalex.org/W1984313317","https://openalex.org/W1985249384","https://openalex.org/W1995504856","https://openalex.org/W2002547950","https://openalex.org/W2010540943","https://openalex.org/W2016862626","https://openalex.org/W2117936593","https://openalex.org/W2154758621","https://openalex.org/W2165189049","https://openalex.org/W2480459371","https://openalex.org/W2590179213","https://openalex.org/W3029645440","https://openalex.org/W3098925493","https://openalex.org/W3171152617","https://openalex.org/W3206777520"],"related_works":["https://openalex.org/W2155570364","https://openalex.org/W4206367939","https://openalex.org/W3034024529","https://openalex.org/W774019230","https://openalex.org/W2771042763","https://openalex.org/W2082762559","https://openalex.org/W2274557802","https://openalex.org/W2039241272","https://openalex.org/W1965399064","https://openalex.org/W2145694478"],"abstract_inverted_index":{"This":[0],"work":[1],"is":[2,28,33,54],"devoted":[3],"to":[4,45],"maximizing":[5],"the":[6,29,47,67,70,78,86,106,109,113],"production":[7],"of":[8,20,66,72,89,115],"methane":[9],"in":[10,43,69],"a":[11,18,36,57,63],"bioreactor":[12],"coupling":[13],"an":[14],"anaerobic":[15],"digester":[16],"and":[17,38,101,112],"culture":[19,71],"micro-algae":[21],"limited":[22],"by":[23,98],"light.":[24],"The":[25,52],"decision":[26],"parameter":[27],"dilution":[30],"rate":[31],"which":[32,104],"chosen":[34],"as":[35],"control,":[37],"we":[39],"enforce":[40],"periodic":[41],"constraints":[42],"order":[44],"repeat":[46],"same":[48],"operation":[49],"every":[50],"day.":[51],"system":[53,59],"gathered":[55],"into":[56,61],"three-dimensional":[58],"taking":[60],"account":[62],"day-night":[64],"model":[65,111],"light":[68,110],"micro-algae.":[73],"Applying":[74],"Pontryagin":[75],"maximum":[76],"principle,":[77],"necessary":[79],"conditions":[80],"on":[81],"optimal":[82,116],"trajectories":[83],"indicate":[84],"that":[85],"control":[87],"consists":[88],"bang":[90],"and/or":[91],"singular":[92],"arcs.":[93],"We":[94],"provide":[95],"numerical":[96],"simulations":[97],"both":[99],"direct":[100],"indirect":[102],"methods,":[103],"show":[105],"link":[107],"between":[108],"structure":[114],"solutions.":[117]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}