{"id":"https://openalex.org/W2572720359","doi":"https://doi.org/10.1109/ecc.2016.7810582","title":"From infinite dimensional modelling to parametric reduced-order approximation: Application to open-channel flow for hydroelectricity","display_name":"From infinite dimensional modelling to parametric reduced-order approximation: Application to open-channel flow for hydroelectricity","publication_year":2016,"publication_date":"2016-06-01","ids":{"openalex":"https://openalex.org/W2572720359","doi":"https://doi.org/10.1109/ecc.2016.7810582","mag":"2572720359"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2016.7810582","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2016.7810582","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 European Control Conference (ECC)","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/A5090317855","display_name":"Violaine Dalmas","orcid":null},"institutions":[{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Violaine Dalmas","raw_affiliation_strings":["GIPSA-lab F-38000 Grenoble and EDF, Hydro Engineering Centre, Savoie Technolac, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GIPSA-lab F-38000 Grenoble and EDF, Hydro Engineering Centre, Savoie Technolac, France","institution_ids":["https://openalex.org/I4210124956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112043638","display_name":"G\u00e9rard Robert","orcid":"https://orcid.org/0000-0001-6253-4401"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gerard Robert","raw_affiliation_strings":["EDF, Hydro Engineering Centre, Savoie Technolac, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EDF, Hydro Engineering Centre, Savoie Technolac, France","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087553375","display_name":"Charles Poussot-Vassal","orcid":"https://orcid.org/0000-0001-9106-1893"},"institutions":[{"id":"https://openalex.org/I193033237","display_name":"Institut Superieur de l'Aeronautique et de l'Espace (ISAE-SUPAERO)","ror":"https://ror.org/04gyj6s21","country_code":"FR","type":"education","lineage":["https://openalex.org/I193033237"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Charles Poussot-Vassal","raw_affiliation_strings":["ISAE, Onera - The French Aerospace Lab, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISAE, Onera - The French Aerospace Lab, Toulouse, France","institution_ids":["https://openalex.org/I193033237"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007136568","display_name":"Igor Pontes Duff","orcid":"https://orcid.org/0000-0001-6433-6142"},"institutions":[{"id":"https://openalex.org/I193033237","display_name":"Institut Superieur de l'Aeronautique et de l'Espace (ISAE-SUPAERO)","ror":"https://ror.org/04gyj6s21","country_code":"FR","type":"education","lineage":["https://openalex.org/I193033237"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Igor Pontes Duff","raw_affiliation_strings":["ISAE, Onera - The French Aerospace Lab, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISAE, Onera - The French Aerospace Lab, Toulouse, France","institution_ids":["https://openalex.org/I193033237"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054530578","display_name":"C\u00e9dric Seren","orcid":"https://orcid.org/0000-0001-5798-6710"},"institutions":[{"id":"https://openalex.org/I193033237","display_name":"Institut Superieur de l'Aeronautique et de l'Espace (ISAE-SUPAERO)","ror":"https://ror.org/04gyj6s21","country_code":"FR","type":"education","lineage":["https://openalex.org/I193033237"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Cedric Seren","raw_affiliation_strings":["ISAE, Onera - The French Aerospace Lab, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISAE, Onera - The French Aerospace Lab, Toulouse, France","institution_ids":["https://openalex.org/I193033237"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.769,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.86168589,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1982","last_page":"1987"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.731116533279419},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.71848464012146},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5977759957313538},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4944877624511719},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.49114176630973816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47405049204826355},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4456235468387604},{"id":"https://openalex.org/keywords/open-channel-flow","display_name":"Open-channel flow","score":0.44494301080703735},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.439802348613739},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.4250537157058716},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.422768771648407},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40290385484695435},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.3814378082752228},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2648356556892395},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14997518062591553},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13253054022789001},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11802530288696289}],"concepts":[{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.731116533279419},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.71848464012146},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5977759957313538},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4944877624511719},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.49114176630973816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47405049204826355},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4456235468387604},{"id":"https://openalex.org/C180925781","wikidata":"https://www.wikidata.org/wiki/Q514096","display_name":"Open-channel flow","level":3,"score":0.44494301080703735},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.439802348613739},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.4250537157058716},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.422768771648407},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40290385484695435},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.3814378082752228},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2648356556892395},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14997518062591553},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13253054022789001},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11802530288696289},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ecc.2016.7810582","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2016.7810582","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/6","display_name":"Clean water and sanitation","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1491808875","https://openalex.org/W1545557420","https://openalex.org/W1602562183","https://openalex.org/W1966992674","https://openalex.org/W2015071245","https://openalex.org/W2043307446","https://openalex.org/W2046887093","https://openalex.org/W2082078924","https://openalex.org/W2093467150","https://openalex.org/W2098251618","https://openalex.org/W2268447945","https://openalex.org/W2293175560","https://openalex.org/W2911726764","https://openalex.org/W3003314394"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W1494268238","https://openalex.org/W154868527","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W2164267737","https://openalex.org/W2010636443","https://openalex.org/W1581234751","https://openalex.org/W1982092524","https://openalex.org/W2435704381"],"abstract_inverted_index":{"In":[0],"this":[1,31],"paper,":[2],"it":[3],"will":[4],"be":[5,12],"shown":[6,112],"that":[7],"open-channel":[8],"hydraulic":[9],"systems":[10],"can":[11],"suitably":[13],"represented":[14],"for":[15,115],"control":[16],"purposes":[17],"by":[18,93],"using":[19],"input":[20,87],"delay":[21],"linear":[22],"parameter-varying":[23],"(LPV)":[24],"models.":[25],"The":[26],"physical":[27],"equations":[28,37,54],"on":[29],"which":[30,55,89],"work":[32],"is":[33,76,90],"done":[34],"are":[35,47,56,111],"Saint-Venant":[36],"applied":[38],"to":[39,80,113],"a":[40,82,116],"non-rectangular":[41],"cross":[42],"section":[43],"channel.":[44],"These":[45],"later":[46],"two":[48],"coupled":[49],"non-linear":[50],"hyperbolic":[51],"partial":[52],"differential":[53],"linearized":[57],"and":[58,107],"transformed":[59],"into":[60],"irrational":[61,106],"transfer":[62,84,109],"functions.":[63],"An":[64],"accurate":[65],"model":[66],"approximation":[67],"procedure,":[68],"denoted":[69],"IPTFA":[70],"(Irrational":[71],"Proper":[72],"Transfer":[73],"Function":[74],"Algorithm)":[75],"developed":[77],"in":[78],"order":[79],"obtain":[81],"rational":[83],"function":[85],"plus":[86],"delays":[88],"then":[91],"parameterized":[92],"one":[94],"single":[95],"parameter:":[96],"the":[97,105],"initial":[98],"steady-state":[99],"discharge.":[100,120],"Frequency":[101],"domain":[102],"responses":[103],"of":[104,119],"reduced-order":[108],"functions":[110],"match":[114],"large":[117],"range":[118]},"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}