{"id":"https://openalex.org/W2595149782","doi":"https://doi.org/10.23919/acc.2018.8431884","title":"Control Synthesis for Bilevel Linear Model Predictive Control","display_name":"Control Synthesis for Bilevel Linear Model Predictive Control","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2595149782","doi":"https://doi.org/10.23919/acc.2018.8431884","mag":"2595149782"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2018.8431884","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2018.8431884","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1611.04477","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000846306","display_name":"Yonatan Mintz","orcid":"https://orcid.org/0000-0002-0670-1794"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yonatan Mintz","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, University of California, Berkeley, CA, USA","University of California, Department of Industrial Engineering and Operations Research, Berkeley, CA, 94720, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Department of Industrial Engineering and Operations Research, Berkeley, CA, 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068119808","display_name":"John Audie Cabrera","orcid":null},"institutions":[{"id":"https://openalex.org/I103911934","display_name":"University of the Philippines System","ror":"https://ror.org/02hqkr514","country_code":"PH","type":"education","lineage":["https://openalex.org/I103911934"]}],"countries":["PH"],"is_corresponding":false,"raw_author_name":"John Audie Cabrera","raw_affiliation_strings":["Electrical and Electronics Engineering Institute, University of the Philippines, Quezon City, Philippines","University of the Philippines, Electrical and Electronics Engineering Institute, Quezon City, 1101, Philippines"],"affiliations":[{"raw_affiliation_string":"Electrical and Electronics Engineering Institute, University of the Philippines, Quezon City, Philippines","institution_ids":["https://openalex.org/I103911934"]},{"raw_affiliation_string":"University of the Philippines, Electrical and Electronics Engineering Institute, Quezon City, 1101, Philippines","institution_ids":["https://openalex.org/I103911934"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004425823","display_name":"Jhoanna Rhodette Pedrasa","orcid":"https://orcid.org/0000-0003-3170-8573"},"institutions":[{"id":"https://openalex.org/I103911934","display_name":"University of the Philippines System","ror":"https://ror.org/02hqkr514","country_code":"PH","type":"education","lineage":["https://openalex.org/I103911934"]}],"countries":["PH"],"is_corresponding":false,"raw_author_name":"Jhoanna Rhodette Pedrasa","raw_affiliation_strings":["Electrical and Electronics Engineering Institute, University of the Philippines, Quezon City, Philippines","University of the Philippines, Electrical and Electronics Engineering Institute, Quezon City, 1101, Philippines"],"affiliations":[{"raw_affiliation_string":"Electrical and Electronics Engineering Institute, University of the Philippines, Quezon City, Philippines","institution_ids":["https://openalex.org/I103911934"]},{"raw_affiliation_string":"University of the Philippines, Electrical and Electronics Engineering Institute, Quezon City, 1101, Philippines","institution_ids":["https://openalex.org/I103911934"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014893911","display_name":"Anil Aswani","orcid":"https://orcid.org/0000-0001-5777-7185"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anil Aswani","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, University of California, Berkeley, CA, USA","University of California, Department of Industrial Engineering and Operations Research, Berkeley, CA, 94720, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Department of Industrial Engineering and Operations Research, Berkeley, CA, 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5000846306"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00362379,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2338","last_page":"2343"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9977999925613403,"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":0.9977999925613403,"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":0.8165764212608337},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.7205286622047424},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.6277508735656738},{"id":"https://openalex.org/keywords/stackelberg-competition","display_name":"Stackelberg competition","score":0.5971954464912415},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5928869247436523},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5765498876571655},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5365901589393616},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5217750668525696},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5040775537490845},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4315694570541382},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.3196313679218292},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2949504256248474},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.28759467601776123},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.1170583963394165},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.09453275799751282}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.8165764212608337},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.7205286622047424},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.6277508735656738},{"id":"https://openalex.org/C199510392","wikidata":"https://www.wikidata.org/wiki/Q1184602","display_name":"Stackelberg competition","level":2,"score":0.5971954464912415},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5928869247436523},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5765498876571655},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5365901589393616},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5217750668525696},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5040775537490845},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4315694570541382},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3196313679218292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2949504256248474},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28759467601776123},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.1170583963394165},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.09453275799751282},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23919/acc.2018.8431884","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2018.8431884","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"},{"id":"pmh:oai:arXiv.org:1611.04477","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.04477","pdf_url":"https://arxiv.org/pdf/1611.04477","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.1611.04477","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1611.04477","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"mag:2595149782","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1611.04477","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.04477","pdf_url":"https://arxiv.org/pdf/1611.04477","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.4399999976158142,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G2133903588","display_name":null,"funder_award_id":"1450963","funder_id":"https://openalex.org/F4320337391","funder_display_name":"Division of Civil, Mechanical and Manufacturing Innovation"},{"id":"https://openalex.org/G5954070948","display_name":null,"funder_award_id":"CMMI-","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7065665628","display_name":"EAGER: Quantitative Modeling of Behavioral-Change for Personalized Weight Loss Interventions","funder_award_id":"1450963","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G914324347","display_name":null,"funder_award_id":"CMMI-1450963","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320336030","display_name":"Philippine-California Advanced Research Institutes","ror":null},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2595149782.pdf","grobid_xml":"https://content.openalex.org/works/W2595149782.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1965461599","https://openalex.org/W1968359621","https://openalex.org/W1989697801","https://openalex.org/W1998692593","https://openalex.org/W2027663046","https://openalex.org/W2039836203","https://openalex.org/W2041518601","https://openalex.org/W2056187344","https://openalex.org/W2056259110","https://openalex.org/W2058030547","https://openalex.org/W2078424621","https://openalex.org/W2086364584","https://openalex.org/W2092839484","https://openalex.org/W2095233962","https://openalex.org/W2099958618","https://openalex.org/W2103790666","https://openalex.org/W2105576913","https://openalex.org/W2107457089","https://openalex.org/W2119974577","https://openalex.org/W2120481993","https://openalex.org/W2124659975","https://openalex.org/W2126435371","https://openalex.org/W2133289369","https://openalex.org/W2152721252","https://openalex.org/W2171505650","https://openalex.org/W2257696888","https://openalex.org/W2411577903","https://openalex.org/W2963080799","https://openalex.org/W2964320632","https://openalex.org/W4250589301","https://openalex.org/W6671024298","https://openalex.org/W6675587088","https://openalex.org/W6683791438"],"related_works":["https://openalex.org/W2963731339","https://openalex.org/W2150911101","https://openalex.org/W2962804714","https://openalex.org/W2731819459","https://openalex.org/W152451068","https://openalex.org/W641750148","https://openalex.org/W1714125685","https://openalex.org/W2039150460","https://openalex.org/W1504899546","https://openalex.org/W2176099350","https://openalex.org/W2122216119","https://openalex.org/W1895491771","https://openalex.org/W2057789158","https://openalex.org/W2100306753","https://openalex.org/W2124596403","https://openalex.org/W2883937295","https://openalex.org/W2443918045","https://openalex.org/W2406712017","https://openalex.org/W2113585254","https://openalex.org/W1537956958"],"abstract_inverted_index":{"Distributed":[0],"model":[1],"predictive":[2],"control":[3],"(MPC)":[4],"is":[5,58],"either":[6],"cooperative":[7],"or":[8,99],"competitive,":[9],"and":[10,31,70,116,133,154,164],"control-theoretic":[11],"properties":[12],"have":[13],"been":[14],"less":[15],"studied":[16],"in":[17,79],"the":[18,44,91,141],"competitive":[19],"(e.g.,":[20],"game":[21,34,83],"theory)":[22],"setting.":[23],"This":[24],"paper":[25],"studies":[26],"MPC":[27,41,47,110],"with":[28,60,145],"linear":[29,40,46,187],"dynamics":[30],"a":[32,37,63,80,122,161,165,180,186],"Stackelberg":[33,82],"structure:":[35],"Given":[36],"fixed":[38],"lower-level":[39],"(LoMPC)":[42],"controller,":[43],"bilevel":[45],"(BiMPC)":[48],"controller":[49],"chooses":[50],"inputs":[51],"to":[52,62,75,86,90,120,138,152,175],"steer":[53],"LoMPC":[54,57,69],"knowing":[55],"that":[56],"optimizing":[59],"respect":[61],"different":[64],"cost":[65],"function.":[66],"After":[67],"defining":[68],"BiMPC,":[71,115,146,153],"we":[72,102,127],"give":[73,103],"examples":[74],"demonstrate":[76,155],"how":[77],"interconnections":[78],"dynamic":[81],"can":[84],"lead":[85],"loss/gain":[87],"(as":[88],"compared":[89],"same":[92],"system":[93,163],"being":[94],"centrally":[95],"controlled)":[96],"of":[97,114,149,160,168,179],"controllability":[98],"stability.":[100],"Then,":[101],"sufficient":[104],"conditions":[105],"under":[106],"an":[107,118,134,169],"arbitrary":[108],"finite":[109],"horizon":[111],"for":[112],"stabilizability":[113],"develop":[117],"approach":[119],"synthesize":[121],"stabilizing":[123],"BiMPC":[124],"controller.":[125],"Next,":[126],"define":[128],"two":[129],"(a":[130],"duality-based":[131],"technique":[132],"integer-programming-based":[135],"technique)":[136],"reformulations":[137,151],"numerically":[139],"solve":[140],"optimization":[142],"problem":[143],"associated":[144],"prove":[147],"equivalence":[148],"these":[150],"their":[156],"usefulness":[157],"by":[158,185],"simulations":[159],"synthetic":[162],"case":[166],"study":[167],"electric":[170],"utility":[171],"changing":[172],"electricity":[173],"prices":[174],"perform":[176],"demand":[177],"response":[178],"home's":[181],"air":[182],"conditioner":[183],"controlled":[184],"MPC.":[188]},"counts_by_year":[],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}
