{"id":"https://openalex.org/W2570467197","doi":"https://doi.org/10.1109/cdc.2016.7798822","title":"An improved dual Newton strategy for scenario-tree MPC","display_name":"An improved dual Newton strategy for scenario-tree MPC","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2570467197","doi":"https://doi.org/10.1109/cdc.2016.7798822","mag":"2570467197"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7798822","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798822","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","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/A5090809304","display_name":"Emil Klintberg","orcid":"https://orcid.org/0000-0003-2750-2927"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Emil Klintberg","raw_affiliation_strings":["Department of Signals and Systems, Chalmers University of Technology, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Signals and Systems, Chalmers University of Technology, Sweden","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067050685","display_name":"John Dahl","orcid":"https://orcid.org/0000-0002-0464-2161"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]},{"id":"https://openalex.org/I1340210623","display_name":"Volvo (Sweden)","ror":"https://ror.org/05b6ypc36","country_code":"SE","type":"company","lineage":["https://openalex.org/I1340210623"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"John Dahl","raw_affiliation_strings":["Collision avoidance functions, Active Safety, Volvo Car Corporation and the Department of Signals and Systems, Chalmers University of Technology, Sweden"],"affiliations":[{"raw_affiliation_string":"Collision avoidance functions, Active Safety, Volvo Car Corporation and the Department of Signals and Systems, Chalmers University of Technology, Sweden","institution_ids":["https://openalex.org/I1340210623","https://openalex.org/I66862912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012623700","display_name":"Jonas Fredriksson","orcid":"https://orcid.org/0000-0002-9814-6416"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Jonas Fredriksson","raw_affiliation_strings":["Department of Signals and Systems, Chalmers University of Technology, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Signals and Systems, Chalmers University of Technology, Sweden","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049645185","display_name":"S\u00e9bastien Gros","orcid":"https://orcid.org/0000-0001-6054-2133"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Sebastien Gros","raw_affiliation_strings":["Department of Signals and Systems, Chalmers University of Technology, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Signals and Systems, Chalmers University of Technology, Sweden","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5090809304"],"corresponding_institution_ids":["https://openalex.org/I66862912"],"apc_list":null,"apc_paid":null,"fwci":2.1424,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.8875535,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"3675","last_page":"3681"},"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":0.9948999881744385,"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/T11236","display_name":"Control Systems and Identification","score":0.9922999739646912,"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/hessian-matrix","display_name":"Hessian matrix","score":0.7109156847000122},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.662996768951416},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.576256513595581},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.5364668369293213},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5262160301208496},{"id":"https://openalex.org/keywords/parallelizable-manifold","display_name":"Parallelizable manifold","score":0.4185221493244171},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32688093185424805},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29203248023986816},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.21734106540679932},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14498311281204224}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.7109156847000122},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.662996768951416},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.576256513595581},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.5364668369293213},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5262160301208496},{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.4185221493244171},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32688093185424805},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29203248023986816},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.21734106540679932},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14498311281204224},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2016.7798822","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798822","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:research.chalmers.se:247357","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/247357","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W562007144","https://openalex.org/W1481747975","https://openalex.org/W1544016679","https://openalex.org/W1551745356","https://openalex.org/W1587506498","https://openalex.org/W1603765807","https://openalex.org/W1969598418","https://openalex.org/W1971930153","https://openalex.org/W1977229458","https://openalex.org/W1981723834","https://openalex.org/W1997231674","https://openalex.org/W2007113535","https://openalex.org/W2013232803","https://openalex.org/W2014549826","https://openalex.org/W2046242950","https://openalex.org/W2053764342","https://openalex.org/W2067716288","https://openalex.org/W2090117039","https://openalex.org/W2104694979","https://openalex.org/W2130353848","https://openalex.org/W2152899521","https://openalex.org/W2153885307","https://openalex.org/W2158119718","https://openalex.org/W2194401498","https://openalex.org/W2296319761","https://openalex.org/W2565414575","https://openalex.org/W2963183767","https://openalex.org/W3143169333","https://openalex.org/W4250589301","https://openalex.org/W4300995080","https://openalex.org/W6635108797","https://openalex.org/W6642832213","https://openalex.org/W6687602924"],"related_works":["https://openalex.org/W4285069850","https://openalex.org/W1974634278","https://openalex.org/W4240963716","https://openalex.org/W2891970004","https://openalex.org/W4301075503","https://openalex.org/W1596637634","https://openalex.org/W1996916724","https://openalex.org/W4200632772","https://openalex.org/W4226025565","https://openalex.org/W1913142544"],"abstract_inverted_index":{"This":[0,132],"paper":[1],"considers":[2],"the":[3,11,50,53,88,94,104,122,126,138,143],"problem":[4,91],"of":[5,13,52,106,115,125,141],"solving":[6],"Quadratic":[7],"Programs":[8],"(QPs)":[9],"in":[10,28,147],"context":[12],"robust":[14,89,144],"Model":[15],"Predictive":[16],"Control":[17],"(MPC)":[18],"based":[19],"on":[20],"scenario":[21],"trees.":[22],"A":[23],"Newton":[24],"strategy":[25,114,133],"is":[26,84,118],"used":[27],"conjunction":[29],"with":[30,37],"dual":[31,54,95,127],"decomposition,":[32],"yielding":[33],"a":[34,38,68,74,98,110],"parallelizable":[35],"method":[36],"fast":[39],"practical":[40],"convergence.":[41],"In":[42,77],"this":[43,78],"context,":[44],"it":[45,83],"has":[46,56,97],"been":[47],"observed":[48],"that":[49,82,93],"Hessian":[51,96],"function":[55],"an":[57],"intricate":[58],"sparsity":[59],"structure":[60],"and":[61,73,112],"can":[62],"be":[63],"rank":[64],"deficient,":[65],"hence":[66,101],"requiring":[67],"computationally":[69],"expensive":[70],"linear":[71],"algebra":[72],"regularization":[75,130],"strategy.":[76],"paper,":[79],"we":[80],"show":[81],"possible":[85],"to":[86],"organize":[87],"MPC":[90,145],"such":[92],"block-tridiagonal":[99],"structure,":[100],"reducing":[102],"dramatically":[103],"cost":[105],"its":[107,148],"factorization.":[108],"Moreover,":[109],"simple":[111],"inexpensive":[113],"constraint":[116],"elimination":[117],"proposed":[119],"for":[120,136],"ensuring":[121],"positive":[123],"definiteness":[124],"Hessian,":[128],"making":[129],"superfluous.":[131],"additionally":[134],"allows":[135],"evening":[137],"computational":[139],"burden":[140],"computing":[142],"solution":[146],"parallelization.":[149]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}