{"id":"https://openalex.org/W1534866264","doi":"https://doi.org/10.1109/acc.2015.7170773","title":"Towards dual robust nonlinear model predictive control: A multi-stage approach","display_name":"Towards dual robust nonlinear model predictive control: A multi-stage approach","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1534866264","doi":"https://doi.org/10.1109/acc.2015.7170773","mag":"1534866264"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7170773","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170773","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","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/A5083232890","display_name":"S. Thangavel","orcid":"https://orcid.org/0000-0002-5723-8971"},"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":true,"raw_author_name":"Sakthi Thangavel","raw_affiliation_strings":["Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, Dortmund, Germany","Process Dynamics and Operations Group, Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, 44227, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]},{"raw_affiliation_string":"Process Dynamics and Operations Group, Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, 44227, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"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":["Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, Dortmund, Germany","Process Dynamics and Operations Group, Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, 44227, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]},{"raw_affiliation_string":"Process Dynamics and Operations Group, Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, 44227, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"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":["Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, Dortmund, Germany","Process Dynamics and Operations Group, Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, 44227, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]},{"raw_affiliation_string":"Process Dynamics and Operations Group, Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, 44227, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"last","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":["Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, Dortmund, Germany","Process Dynamics and Operations Group, Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, 44227, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]},{"raw_affiliation_string":"Process Dynamics and Operations Group, Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, 44227, Germany","institution_ids":["https://openalex.org/I200332995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5083232890"],"corresponding_institution_ids":["https://openalex.org/I200332995"],"apc_list":null,"apc_paid":null,"fwci":4.3759,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.94245275,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"21","issue":null,"first_page":"428","last_page":"433"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9993000030517578,"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":0.9922000169754028,"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/model-predictive-control","display_name":"Model predictive control","score":0.8027493953704834},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.7092126607894897},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6724793910980225},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5957392454147339},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5524935126304626},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5386388897895813},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5214375853538513},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5127590894699097},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.46654605865478516},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4431930184364319},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3256087303161621},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2736940383911133},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20021051168441772}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.8027493953704834},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.7092126607894897},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6724793910980225},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5957392454147339},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5524935126304626},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5386388897895813},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5214375853538513},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5127590894699097},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.46654605865478516},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4431930184364319},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3256087303161621},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2736940383911133},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20021051168441772},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2015.7170773","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170773","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W624564079","https://openalex.org/W1587506498","https://openalex.org/W1679855469","https://openalex.org/W1717366851","https://openalex.org/W1831474212","https://openalex.org/W1981723834","https://openalex.org/W2007113535","https://openalex.org/W2016095551","https://openalex.org/W2026253145","https://openalex.org/W2028169578","https://openalex.org/W2028970725","https://openalex.org/W2036407535","https://openalex.org/W2051525163","https://openalex.org/W2067716288","https://openalex.org/W2069020916","https://openalex.org/W2078804535","https://openalex.org/W2109804436","https://openalex.org/W2123871098","https://openalex.org/W2134610525","https://openalex.org/W2164957979","https://openalex.org/W2268119109","https://openalex.org/W3143169333","https://openalex.org/W4250248097","https://openalex.org/W6635108797","https://openalex.org/W6638629266","https://openalex.org/W6657938426","https://openalex.org/W6670311552"],"related_works":["https://openalex.org/W1990079087","https://openalex.org/W2060165215","https://openalex.org/W4388311650","https://openalex.org/W2101188133","https://openalex.org/W1974056099","https://openalex.org/W3202234113","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W2086462882"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"an":[3],"approach":[4,60,103,150],"to":[5,23,121],"dual":[6,52,76,148],"robust":[7,53],"nonlinear":[8],"model":[9],"predictive":[10],"control":[11,14,77],"(NMPC).":[12],"Dual":[13],"is":[15],"traditionally":[16],"formulated":[17],"as":[18,65,128],"a":[19,33,51,66,75,108,138,147,163],"technique":[20],"that":[21,61,89],"seeks":[22],"solve":[24],"the":[25,37,41,45,58,63,84,87,96,112,116,122,126,143,156,167,170],"trade-off":[26],"between":[27],"probing":[28,91,117],"actions,":[29],"which":[30],"result":[31],"in":[32,130],"better":[34],"estimation":[35,161],"of":[36,44,69,86,115,125,145,159,166,169],"unknown":[38],"parameters,":[39],"and":[40],"optimal":[42,123],"operation":[43,124],"uncertain":[46],"dynamic":[47],"system.":[48],"We":[49,73],"propose":[50],"NMPC":[54,149,154],"method":[55],"based":[56,151],"on":[57,111,152],"multi-stage":[59,153],"represents":[62],"uncertainty":[64,88],"scenario":[67],"tree":[68],"its":[70],"possible":[71],"realizations.":[72],"achieve":[74],"formulation":[78],"by":[79],"taking":[80],"explicitly":[81],"into":[82],"account":[83],"reduction":[85],"future":[90],"actions":[92,118],"would":[93],"provide":[94],"over":[95,155],"prediction":[97],"horizon.":[98],"Using":[99],"such":[100],"formulation,":[101],"our":[102],"does":[104],"not":[105],"require":[106],"any":[107],"priori":[109],"decision":[110],"relative":[113],"importance":[114],"with":[119,162],"respect":[120],"system,":[127],"proposed":[129],"some":[131],"recent":[132],"approaches.":[133],"The":[134],"results":[135],"obtained":[136],"for":[137],"chemical":[139],"engineering":[140],"example":[141],"show":[142],"advantages":[144],"using":[146],"sequential":[157],"use":[158],"parameter":[160,171],"posteriori":[164],"approximation":[165],"covariance":[168],"estimates.":[172]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}