{"id":"https://openalex.org/W2168085646","doi":"https://doi.org/10.1109/ecc.2015.7330940","title":"An efficient distributed algorithm for multi-stage robust nonlinear predictive control","display_name":"An efficient distributed algorithm for multi-stage robust nonlinear predictive control","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W2168085646","doi":"https://doi.org/10.1109/ecc.2015.7330940","mag":"2168085646"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2015.7330940","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7330940","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 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/A5032314975","display_name":"Rub\u00e9n Mart\u00ed","orcid":null},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ruben Marti","raw_affiliation_strings":["Department of Systems Engineering and Automatic Control, University of Valladolid, Valladolid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering and Automatic Control, University of Valladolid, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052312024","display_name":"Sergio Lucia","orcid":"https://orcid.org/0000-0002-3347-5593"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sergio Lucia","raw_affiliation_strings":["Process Dynamics and Operations Group, Technische Universitt Dortmund, Dortmund, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Process Dynamics and Operations Group, Technische Universitt Dortmund, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006586436","display_name":"Daniel Sarabia","orcid":"https://orcid.org/0000-0001-7802-3542"},"institutions":[{"id":"https://openalex.org/I46176106","display_name":"Universidad de Burgos","ror":"https://ror.org/049da5t36","country_code":"ES","type":"education","lineage":["https://openalex.org/I46176106"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Daniel Sarabia","raw_affiliation_strings":["Department of Electromechanical Engineering, University of Burgos"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electromechanical Engineering, University of Burgos","institution_ids":["https://openalex.org/I46176106"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038687192","display_name":"Radoslav Paulen","orcid":"https://orcid.org/0000-0002-1599-2634"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Radoslav Paulen","raw_affiliation_strings":["Process Dynamics and Operations Group, Technische Universitt Dortmund, Dortmund, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Process Dynamics and Operations Group, Technische Universitt Dortmund, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033400754","display_name":"Sebastian Engell","orcid":"https://orcid.org/0000-0002-3125-9846"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sebastian Engell","raw_affiliation_strings":["Process Dynamics and Operations Group, Technische Universitt Dortmund, Dortmund, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Process Dynamics and Operations Group, Technische Universitt Dortmund, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"last","author":{"id":null,"display_name":"Cesar de Prada","orcid":null},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Cesar de Prada","raw_affiliation_strings":["Department of Systems Engineering and Automatic Control, University of Valladolid, Valladolid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering and Automatic Control, University of Valladolid, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3633,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.83641118,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2664","last_page":"2669"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":1.0,"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":1.0,"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/T11053","display_name":"Process Optimization and Integration","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"}},{"id":"https://openalex.org/T11801","display_name":"Reservoir Engineering and Simulation Methods","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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":0.7267755270004272},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6678838133811951},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6539328098297119},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6393251419067383},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6321420073509216},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5504537224769592},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4893638491630554},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4716460108757019},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4682926535606384},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4420406222343445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2538619339466095},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.25265079736709595},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07751396298408508}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.7267755270004272},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6678838133811951},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6539328098297119},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6393251419067383},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6321420073509216},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5504537224769592},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4893638491630554},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4716460108757019},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4682926535606384},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4420406222343445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2538619339466095},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.25265079736709595},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07751396298408508},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ecc.2015.7330940","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7330940","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Control Conference (ECC)","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":28,"referenced_works":["https://openalex.org/W1541527977","https://openalex.org/W1587506498","https://openalex.org/W1601934531","https://openalex.org/W1717366851","https://openalex.org/W1965711715","https://openalex.org/W1969007958","https://openalex.org/W1970982940","https://openalex.org/W1978531916","https://openalex.org/W1981735120","https://openalex.org/W2005486947","https://openalex.org/W2006265027","https://openalex.org/W2007113535","https://openalex.org/W2009990361","https://openalex.org/W2013232803","https://openalex.org/W2026052471","https://openalex.org/W2067716288","https://openalex.org/W2106320154","https://openalex.org/W2109804436","https://openalex.org/W2116554046","https://openalex.org/W2139435630","https://openalex.org/W2164957979","https://openalex.org/W2167249893","https://openalex.org/W3143169333","https://openalex.org/W4247165901","https://openalex.org/W6635108797","https://openalex.org/W6641536184","https://openalex.org/W6645858739","https://openalex.org/W6653570603"],"related_works":["https://openalex.org/W2390268352","https://openalex.org/W2349891771","https://openalex.org/W4232498912","https://openalex.org/W131523059","https://openalex.org/W1994978054","https://openalex.org/W2167571850","https://openalex.org/W1983868537","https://openalex.org/W1508606356","https://openalex.org/W4210688019","https://openalex.org/W2124799266"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"an":[3,183],"algorithmic":[4],"development":[5],"in":[6,69,97,179],"the":[7,26,29,32,48,55,58,61,76,79,87,102,105,108,116,122,125,135,142,149,153,175],"framework":[8],"of":[9,28,31,54,60,78,104,107,124,134,152,155,174,182],"computationally":[10],"efficient":[11],"robust":[12],"Nonlinear":[13],"Model":[14],"Predictive":[15],"Control":[16],"(NMPC)":[17],"which":[18,82,145],"deals":[19],"with":[20,139],"a":[21,37],"parametric":[22,132],"plant-model":[23],"mismatch,":[24],"where":[25],"description":[27],"evolution":[30],"uncertainty":[33],"is":[34,83,101,177],"done":[35,67],"using":[36,89,98],"scenario":[38],"tree,":[39],"known":[40],"as":[41],"multi-stage":[42],"approach.":[43],"In":[44],"order":[45],"to":[46,114,121,141,168],"reduce":[47],"computational":[49],"time":[50],"and":[51,164],"memory":[52],"requirements":[53],"multistage":[56],"NMPC,":[57],"calculations":[59,73],"optimal":[62,136],"control":[63,143],"inputs":[64,144],"can":[65],"be":[66],"scenario-wise":[68,117],"parallel.":[70],"These":[71],"parallelized":[72],"must":[74],"enforce":[75],"satisfaction":[77],"non-anticipativity":[80,126],"constraints,":[81],"negotiated":[84],"iteratively":[85],"among":[86],"scenarios":[88],"Lagrangean":[90],"or":[91],"price-driven":[92],"decomposition.":[93],"The":[94,128,158,172],"main":[95],"challenge":[96],"such":[99],"scheme":[100],"determination":[103,151],"values":[106,154],"aggregate":[109],"variables":[110],"that":[111],"are":[112,146],"used":[113,147],"coordinate":[115],"computations":[118],"for":[119,148],"convergence":[120,166],"feasibility":[123],"constraints.":[127],"proposed":[129,159],"approach":[130,176],"uses":[131],"sensitivities":[133],"model":[137],"states":[138],"respect":[140],"iterative":[150],"aggregated":[156],"variables.":[157],"method":[160],"achieves":[161],"good":[162],"performance":[163],"faster":[165],"compared":[167],"traditional":[169],"decomposition":[170],"schemes.":[171],"potential":[173],"demonstrated":[178],"simulation":[180],"example":[181],"hydrodesulphurisation":[184],"unit.":[185]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
