{"id":"https://openalex.org/W2573735445","doi":"https://doi.org/10.1109/ecc.2016.7810274","title":"A parametric augmented Lagrangian algorithm for real-tim economic NMPC","display_name":"A parametric augmented Lagrangian algorithm for real-tim economic NMPC","publication_year":2016,"publication_date":"2016-06-01","ids":{"openalex":"https://openalex.org/W2573735445","doi":"https://doi.org/10.1109/ecc.2016.7810274","mag":"2573735445"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2016.7810274","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2016.7810274","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":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://infoscience.epfl.ch/record/227077/files/JHH_HS_CJ_612.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036879196","display_name":"Jean-Hubert Hours","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jean-Hubert Hours","raw_affiliation_strings":["EPFL, Automatic Control Laboratory, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPFL, Automatic Control Laboratory, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056519076","display_name":"Harsh Shukla","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Harsh Shukla","raw_affiliation_strings":["Ecole Polytechnique Federale de Lausanne, Lausanne, VD, CH"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Polytechnique Federale de Lausanne, Lausanne, VD, CH","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085117832","display_name":"Colin N. Jones","orcid":"https://orcid.org/0000-0001-7239-4799"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Colin N. Jones","raw_affiliation_strings":["EPFL, Automatic Control Laboratory, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPFL, Automatic Control Laboratory, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"48","issue":null,"first_page":"123","last_page":"128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9779000282287598,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.957099974155426,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.8722613453865051},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6419477462768555},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6365711092948914},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.6290772557258606},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6027950048446655},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.5315850377082825},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5045710802078247},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.49032118916511536},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46931907534599304},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4645298421382904},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.43034207820892334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4297439455986023},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.42223474383354187},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.394700288772583}],"concepts":[{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.8722613453865051},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6419477462768555},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6365711092948914},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6290772557258606},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6027950048446655},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.5315850377082825},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5045710802078247},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.49032118916511536},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46931907534599304},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4645298421382904},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.43034207820892334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4297439455986023},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.42223474383354187},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.394700288772583},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ecc.2016.7810274","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2016.7810274","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"},{"id":"pmh:oai:infoscience.tind.io:227077","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/record/227077/files/07810274.pdf","pdf_url":"https://infoscience.epfl.ch/record/227077/files/JHH_HS_CJ_612.pdf","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference proceedings"}],"best_oa_location":{"id":"pmh:oai:infoscience.tind.io:227077","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/record/227077/files/07810274.pdf","pdf_url":"https://infoscience.epfl.ch/record/227077/files/JHH_HS_CJ_612.pdf","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference proceedings"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320915","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2573735445.pdf"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W147998453","https://openalex.org/W1607862333","https://openalex.org/W1991700598","https://openalex.org/W1993647205","https://openalex.org/W2000389939","https://openalex.org/W2012167011","https://openalex.org/W2021361347","https://openalex.org/W2035741312","https://openalex.org/W2042005915","https://openalex.org/W2044494131","https://openalex.org/W2049670620","https://openalex.org/W2062501311","https://openalex.org/W2070007140","https://openalex.org/W2078853581","https://openalex.org/W2079127236","https://openalex.org/W2082056119","https://openalex.org/W2097699574","https://openalex.org/W2113765483","https://openalex.org/W2117762915","https://openalex.org/W2128102968","https://openalex.org/W2186590998","https://openalex.org/W2282256552","https://openalex.org/W2949450066","https://openalex.org/W4301014524","https://openalex.org/W6695575911","https://openalex.org/W6763847230"],"related_works":["https://openalex.org/W2360271985","https://openalex.org/W2131718214","https://openalex.org/W2002987466","https://openalex.org/W2070276483","https://openalex.org/W3207854495","https://openalex.org/W1972437117","https://openalex.org/W2467306310","https://openalex.org/W1973889396","https://openalex.org/W1522162180","https://openalex.org/W2130940832"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,74,89,132,135,150],"novel":[4],"optimality-tracking":[5],"algorithm":[6,119],"for":[7,23],"solving":[8],"Economic":[9],"Nonlinear":[10],"Model":[11],"Predictive":[12],"Control":[13],"(ENMPC)":[14],"problems":[15],"in":[16],"real-time":[17],"is":[18,25,29,40,142],"presented.":[19],"Developing":[20],"online":[21],"schemes":[22],"ENMPC":[24,146],"challenging,":[26],"since":[27],"it":[28,107],"unclear":[30],"how":[31],"convexity":[32],"of":[33,44,64,73,77,101,139,149],"the":[34,45,49,60,99,104,112,117,127,140],"Quadratic":[35],"Programming":[36],"(QP)":[37],"problem,":[38],"which":[39],"obtained":[41],"by":[42,62,88,116],"linearisation":[43],"NMPC":[46],"program":[47],"around":[48],"current":[50],"iterate,":[51],"can":[52,108],"be":[53,109],"enforced":[54],"efficiently.":[55],"Therefore,":[56],"we":[57],"propose":[58],"addressing":[59],"problem":[61],"means":[63],"an":[65,83,145],"augmented":[66,84],"Lagrangian":[67,85],"formulation.":[68],"Our":[69],"tracking":[70],"scheme":[71],"consists":[72],"fixed":[75],"number":[76,100],"inexact":[78],"Newton":[79],"steps":[80],"computed":[81],"on":[82,98,144],"subproblem":[86],"followed":[87],"dual":[90],"update":[91],"per":[92],"time":[93],"step.":[94],"Under":[95],"mild":[96],"assumptions":[97],"iterations":[102],"and":[103,134],"penalty":[105],"parameter,":[106],"proven":[110],"that":[111],"sub-optimality":[113],"error":[114],"provided":[115],"parametric":[118],"remains":[120],"bounded":[121],"over":[122],"time.":[123],"This":[124],"result":[125],"extends":[126],"authors'":[128],"previous":[129],"works":[130],"from":[131],"theoretical":[133],"computational":[136],"perspective.":[137],"Efficacy":[138],"approach":[141],"demonstrated":[143],"example":[147],"consisting":[148],"bioreactor.":[151]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2017-01-26T00:00:00"}