{"id":"https://openalex.org/W2885228497","doi":"https://doi.org/10.23919/acc.2018.8431482","title":"Nonlinear Model Predictive Control Reduction Using Truncated Single Shooting","display_name":"Nonlinear Model Predictive Control Reduction Using Truncated Single Shooting","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2885228497","doi":"https://doi.org/10.23919/acc.2018.8431482","mag":"2885228497"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2018.8431482","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2018.8431482","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Annual 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/A5001662803","display_name":"Anson Maitland","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Anson Maitland","raw_affiliation_strings":["Department of Systems Design Engineering, University of Waterloo, Waterloo, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems Design Engineering, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044222010","display_name":"Mohit Batra","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mohit Batra","raw_affiliation_strings":["Department of Systems Design Engineering, University of Waterloo, Waterloo, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems Design Engineering, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088867034","display_name":"John McPhee","orcid":"https://orcid.org/0000-0003-3908-9519"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"John McPhee","raw_affiliation_strings":["Department of Systems Design Engineering, University of Waterloo, Waterloo, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems Design Engineering, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9367,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76161145,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"3165","last_page":"3170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9995999932289124,"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":0.9995999932289124,"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/T12810","display_name":"Real-time simulation and control systems","score":0.9980000257492065,"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/T10117","display_name":"Advanced Combustion Engine Technologies","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.6903849840164185},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6427062749862671},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.6365642547607422},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6045286655426025},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.5616630911827087},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5390249490737915},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.49301382899284363},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.48717018961906433},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4807974398136139},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4802711009979248},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.47924330830574036},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4520190358161926},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.24298015236854553},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23159977793693542},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1630251109600067},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15801912546157837},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.12280285358428955}],"concepts":[{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.6903849840164185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6427062749862671},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.6365642547607422},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6045286655426025},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.5616630911827087},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5390249490737915},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.49301382899284363},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.48717018961906433},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4807974398136139},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4802711009979248},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.47924330830574036},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4520190358161926},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.24298015236854553},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23159977793693542},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1630251109600067},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15801912546157837},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.12280285358428955},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc.2018.8431482","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2018.8431482","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Annual American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W175492009","https://openalex.org/W2029393127","https://openalex.org/W2041505178","https://openalex.org/W2070291139","https://openalex.org/W2103683409","https://openalex.org/W2130938611","https://openalex.org/W2217407546","https://openalex.org/W2285836269","https://openalex.org/W2483216001","https://openalex.org/W2502304603","https://openalex.org/W2560504169","https://openalex.org/W2782874715","https://openalex.org/W4236941824","https://openalex.org/W4293775970"],"related_works":["https://openalex.org/W2611031068","https://openalex.org/W2983297293","https://openalex.org/W4388964614","https://openalex.org/W2972343833","https://openalex.org/W2996136316","https://openalex.org/W2970432723","https://openalex.org/W1560140409","https://openalex.org/W2889643804","https://openalex.org/W2463007134","https://openalex.org/W2489086843"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,30,35,48,57,62],"new":[3,58,143],"scheme":[4],"to":[5,44,55,90,103],"reduce":[6],"the":[7,18,27,45,70,85,135],"computational":[8],"burden":[9],"of":[10,23,38,47,87,137],"Nonlinear":[11],"Model":[12],"Predictive":[13],"Controllers":[14],"(NMPCs).":[15],"Working":[16],"with":[17,61,122],"direct":[19],"single":[20],"shooting":[21],"formulation":[22],"NMPC,":[24],"we":[25,83],"identify":[26],"timestep":[28],"as":[29],"`small'":[31],"parameter":[32],"and":[33,107,113,140],"conduct":[34],"perturbative":[36],"analysis":[37,42],"Newton's":[39],"step.":[40],"This":[41],"leads":[43],"introduction":[46],"truncated":[49],"Lagrangian":[50],"that":[51],"can":[52],"be":[53],"used":[54],"form":[56],"quasi-Newton":[59],"method":[60],"symbolically":[63],"reduced":[64],"Hessian":[65],"for":[66,95,134,145],"online":[67,96],"optimization.":[68],"To":[69],"authors'":[71],"knowledge,":[72],"these":[73],"methods":[74,100],"have":[75],"not":[76],"been":[77],"presented":[78],"before.":[79],"In":[80],"this":[81],"work":[82],"leverage":[84],"power":[86],"symbolic":[88],"computation":[89],"generate":[91],"efficient":[92],"controller":[93,126],"code":[94],"evaluation.":[97],"The":[98],"reduction":[99],"were":[101],"applied":[102],"diesel":[104],"engine":[105],"control":[106,111],"electric":[108],"vehicle":[109],"cruise":[110],"problems":[112],"achieved":[114],"turnaround":[115],"times":[116,120],"more":[117],"than":[118],"2":[119],"faster":[121],"no":[123],"tradeoff":[124],"in":[125],"performance.":[127],"These":[128],"initial":[129],"results":[130],"are":[131],"quite":[132],"promising":[133],"development":[136],"real-time":[138],"NMPCs":[139],"introduce":[141],"some":[142],"avenues":[144],"research.":[146]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}