{"id":"https://openalex.org/W2112883920","doi":"https://doi.org/10.1109/cdc.2008.4738961","title":"A dual gradient projection quadratic programming algorithm tailored for model predictive control","display_name":"A dual gradient projection quadratic programming algorithm tailored for model predictive control","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2112883920","doi":"https://doi.org/10.1109/cdc.2008.4738961","mag":"2112883920"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2008.4738961","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738961","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","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/A5028497393","display_name":"Daniel Axehill","orcid":"https://orcid.org/0000-0001-6957-2603"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Daniel Axehill","raw_affiliation_strings":["Division of Automatic Control, Link\u00f6ping University, Linkoping, Sweden","Div. of Autom., Linkoping Univ., Linkoping, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Automatic Control, Link\u00f6ping University, Linkoping, Sweden","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"Div. of Autom., Linkoping Univ., Linkoping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017570497","display_name":"Anders Hansson","orcid":"https://orcid.org/0000-0002-7934-6009"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Anders Hansson","raw_affiliation_strings":["Division of Automatic Control, Link\u00f6ping University, Linkoping, Sweden","Div. of Autom., Linkoping Univ., Linkoping, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Automatic Control, Link\u00f6ping University, Linkoping, Sweden","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"Div. of Autom., Linkoping Univ., Linkoping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028497393"],"corresponding_institution_ids":["https://openalex.org/I102134673"],"apc_list":null,"apc_paid":null,"fwci":7.4496,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.96823965,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"35","issue":null,"first_page":"3057","last_page":"3064"},"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":0.98580002784729,"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":0.9812999963760376,"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":0.759654700756073},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.6147323846817017},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5960318446159363},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5732265710830688},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5498507022857666},{"id":"https://openalex.org/keywords/active-set-method","display_name":"Active set method","score":0.5178542733192444},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4984767436981201},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4753434658050537},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4551427960395813},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4532325565814972},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.45227086544036865},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.43616652488708496},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.42730969190597534},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.41732367873191833},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3799648582935333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3411193788051605},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.2985934615135193},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11818891763687134},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.11669671535491943},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08722510933876038},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07928544282913208}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.759654700756073},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.6147323846817017},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5960318446159363},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5732265710830688},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5498507022857666},{"id":"https://openalex.org/C195064452","wikidata":"https://www.wikidata.org/wiki/Q2823740","display_name":"Active set method","level":4,"score":0.5178542733192444},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4984767436981201},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4753434658050537},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4551427960395813},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4532325565814972},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.45227086544036865},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.43616652488708496},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.42730969190597534},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.41732367873191833},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3799648582935333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3411193788051605},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.2985934615135193},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11818891763687134},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.11669671535491943},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08722510933876038},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07928544282913208},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"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/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2008.4738961","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738961","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W92038506","https://openalex.org/W156349259","https://openalex.org/W290360019","https://openalex.org/W623193409","https://openalex.org/W1603657390","https://openalex.org/W1977985274","https://openalex.org/W1981648990","https://openalex.org/W2011801097","https://openalex.org/W2013243898","https://openalex.org/W2027314076","https://openalex.org/W2034466934","https://openalex.org/W2040006905","https://openalex.org/W2053862301","https://openalex.org/W2076022518","https://openalex.org/W2077424364","https://openalex.org/W2093335754","https://openalex.org/W2108473514","https://openalex.org/W2117692576","https://openalex.org/W2119316047","https://openalex.org/W2119601720","https://openalex.org/W2119957060","https://openalex.org/W2124627342","https://openalex.org/W2128388880","https://openalex.org/W2132347401","https://openalex.org/W2137552307","https://openalex.org/W2148589597","https://openalex.org/W2154642492","https://openalex.org/W2159307101","https://openalex.org/W2162988958","https://openalex.org/W2296319761","https://openalex.org/W2336259629","https://openalex.org/W2610857016","https://openalex.org/W3029645440","https://openalex.org/W3150583134","https://openalex.org/W4285719527","https://openalex.org/W4301014524","https://openalex.org/W6606423414","https://openalex.org/W6619842139"],"related_works":["https://openalex.org/W2080896647","https://openalex.org/W2025587901","https://openalex.org/W2028217664","https://openalex.org/W2158000646","https://openalex.org/W2886734572","https://openalex.org/W3033486620","https://openalex.org/W4313119266","https://openalex.org/W2118845492","https://openalex.org/W2010155752","https://openalex.org/W2024885367"],"abstract_inverted_index":{"The":[0,128],"objective":[1],"of":[2,29,74,155,179],"this":[3,63,113,126],"work":[4],"is":[5,20,32,44,53,86,159,173,182],"to":[6,39,95,108,111,134,186],"derive":[7],"a":[8,65,120],"QP":[9,69,137,180],"algorithm":[10,31,158],"tailored":[11,142],"for":[12,22,47,59,143,163,169],"MPC.":[13,61,171],"More":[14],"specifically,":[15],"the":[16,30,97,135,144,153,156,177],"primary":[17],"target":[18],"application":[19],"MPC":[21,145,165],"discrete-time":[23],"hybrid":[24,60,170],"systems.":[25],"A":[26,79],"desired":[27],"property":[28,43],"that":[33,87,152,176],"warm":[34,76],"starts":[35],"should":[36],"be":[37,109],"possible":[38],"perform":[40],"efficiently.":[41],"This":[42],"very":[45,116,160],"important":[46],"on-line":[48],"linear":[49,164],"MPC,":[50],"and":[51,57,118,139],"it":[52,140],"crucial":[54],"in":[55,93,100,125],"branch":[56],"bound":[58],"In":[62],"paper,":[64],"dual":[66,136],"active":[67,83,98,114,188],"set-like":[68],"method":[70,121,131],"was":[71,122,132,141],"chosen":[72,124],"because":[73],"its":[75],"start":[77],"properties.":[78],"drawback":[80],"with":[81],"classical":[82,187],"set":[84,99,115,189],"methods":[85,104,106],"they":[88],"often":[89],"require":[90],"many":[91],"iterations":[92,181],"order":[94],"find":[96],"optimum.":[101],"Gradient":[102],"projection":[103,130],"are":[105],"known":[107],"able":[110],"identify":[112],"fast":[117],"such":[119],"therefore":[123],"work.":[127],"gradient":[129],"applied":[133],"problem":[138],"application.":[146],"Results":[147],"from":[148],"numerical":[149],"experiments":[150],"indicate":[151],"performance":[154],"new":[157],"good,":[161],"both":[162],"as":[166,168],"well":[167],"It":[172],"also":[174],"noticed":[175],"number":[178],"significantly":[183],"reduced":[184],"compared":[185],"methods.":[190]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
