{"id":"https://openalex.org/W2320868965","doi":"https://doi.org/10.1109/tac.2016.2539222","title":"Support Vector Machine Informed Explicit Nonlinear Model Predictive Control Using Low-Discrepancy Sequences","display_name":"Support Vector Machine Informed Explicit Nonlinear Model Predictive Control Using Low-Discrepancy Sequences","publication_year":2016,"publication_date":"2016-03-08","ids":{"openalex":"https://openalex.org/W2320868965","doi":"https://doi.org/10.1109/tac.2016.2539222","mag":"2320868965"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2016.2539222","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2016.2539222","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-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/A5074220429","display_name":"Ankush Chakrabarty","orcid":"https://orcid.org/0000-0001-9637-854X"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ankush Chakrabarty","raw_affiliation_strings":["School of Electrical and Computer Engineering, Harvard University, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113971138","display_name":"Vu Dinh","orcid":null},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vu Dinh","raw_affiliation_strings":["School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091783245","display_name":"M. Corless","orcid":"https://orcid.org/0000-0001-6820-7225"},"institutions":[{"id":"https://openalex.org/I4210089486","display_name":"Fred Hutch Cancer Center","ror":"https://ror.org/007ps6h72","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210089486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martin J. Corless","raw_affiliation_strings":["Fred Hutchinson Cancer Research Center, Seattle, WA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fred Hutchinson Cancer Research Center, Seattle, WA, USA","institution_ids":["https://openalex.org/I4210089486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048545593","display_name":"Ann E. Rundell","orcid":null},"institutions":[{"id":"https://openalex.org/I157286207","display_name":"National University of Ireland, Maynooth","ror":"https://ror.org/048nfjm95","country_code":"IE","type":"education","lineage":["https://openalex.org/I157286207"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Ann E. Rundell","raw_affiliation_strings":["School of Aeronautics and Astronautics, The National University of Ireland, Maynooth, IN, Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, The National University of Ireland, Maynooth, IN, Ireland","institution_ids":["https://openalex.org/I157286207"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046812485","display_name":"Stanis\u0142aw H. \u017bak","orcid":"https://orcid.org/0000-0001-9616-615X"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stanislaw H. Zak","raw_affiliation_strings":["School of Electrical and Computer Engineering, Harvard University, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020010248","display_name":"Gregery T. Buzzard","orcid":"https://orcid.org/0000-0001-9777-3090"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gregery T. Buzzard","raw_affiliation_strings":["Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.7019,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.96620761,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"62","issue":"1","first_page":"135","last_page":"148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9940999746322632,"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":0.9861000180244446,"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":0.7156317234039307},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6785323023796082},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6082537174224854},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.5482802391052246},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5205608010292053},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5189654231071472},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5118862390518188},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5063906908035278},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5051634907722473},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4847964346408844},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47466185688972473},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.43693408370018005},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38964903354644775},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30383551120758057},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.28465622663497925},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2001272737979889},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.11973148584365845}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.7156317234039307},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6785323023796082},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6082537174224854},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.5482802391052246},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5205608010292053},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5189654231071472},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5118862390518188},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5063906908035278},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5051634907722473},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4847964346408844},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47466185688972473},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.43693408370018005},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38964903354644775},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30383551120758057},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28465622663497925},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2001272737979889},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.11973148584365845},{"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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2016.2539222","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2016.2539222","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8453412974","display_name":"Quantitative Design of Experiments to Predictably Alter Intracellular Signaling Dynamics","funder_award_id":"0900277","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W62956706","https://openalex.org/W124292005","https://openalex.org/W160946611","https://openalex.org/W648378158","https://openalex.org/W832038719","https://openalex.org/W1526580864","https://openalex.org/W1552127371","https://openalex.org/W1966644480","https://openalex.org/W1967086211","https://openalex.org/W1972317660","https://openalex.org/W1972771673","https://openalex.org/W1980989469","https://openalex.org/W1981685283","https://openalex.org/W1982613542","https://openalex.org/W1986296919","https://openalex.org/W1986725814","https://openalex.org/W1991686554","https://openalex.org/W1992066335","https://openalex.org/W1993170675","https://openalex.org/W2006859604","https://openalex.org/W2025697684","https://openalex.org/W2030469774","https://openalex.org/W2031013541","https://openalex.org/W2031075370","https://openalex.org/W2035303393","https://openalex.org/W2037226834","https://openalex.org/W2041109651","https://openalex.org/W2057236938","https://openalex.org/W2059998776","https://openalex.org/W2061757541","https://openalex.org/W2063862666","https://openalex.org/W2087884651","https://openalex.org/W2089051423","https://openalex.org/W2091238875","https://openalex.org/W2100474665","https://openalex.org/W2108612589","https://openalex.org/W2109445534","https://openalex.org/W2109628201","https://openalex.org/W2113824675","https://openalex.org/W2116773335","https://openalex.org/W2119821739","https://openalex.org/W2121027732","https://openalex.org/W2126274226","https://openalex.org/W2127268548","https://openalex.org/W2139212933","https://openalex.org/W2142863015","https://openalex.org/W2147532464","https://openalex.org/W2152532668","https://openalex.org/W2153635508","https://openalex.org/W2156909104","https://openalex.org/W2165905563","https://openalex.org/W2168091882","https://openalex.org/W2241352138","https://openalex.org/W2536620281","https://openalex.org/W2567137345","https://openalex.org/W4229650096","https://openalex.org/W4230674625","https://openalex.org/W4239510810","https://openalex.org/W4254246953","https://openalex.org/W4255596505","https://openalex.org/W4285719527","https://openalex.org/W6631559072","https://openalex.org/W6645508934","https://openalex.org/W6690446307"],"related_works":["https://openalex.org/W1990079087","https://openalex.org/W3202234113","https://openalex.org/W2101188133","https://openalex.org/W4248731570","https://openalex.org/W2381210024","https://openalex.org/W2090763504","https://openalex.org/W2060165215","https://openalex.org/W2384015130","https://openalex.org/W4285595274","https://openalex.org/W81137451"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"an":[3,50],"explicit":[4],"nonlinear":[5,14],"model":[6],"predictive":[7],"controller":[8],"(ENMPC)":[9],"for":[10],"the":[11,42,56,60,70,75,86,89,95],"stabilization":[12],"of":[13,35,55,59,88,94,118],"systems":[15,105],"is":[16,21],"investigated.":[17],"The":[18,92],"proposed":[19,96],"ENMPC":[20,61,71],"constructed":[22],"using":[23,62,79],"tensored":[24],"polynomial":[25],"basis":[26],"functions":[27],"and":[28,52,66,108,116],"samples":[29],"drawn":[30],"from":[31],"low-discrepancy":[32],"sequences.":[33],"Solutions":[34],"a":[36],"finite-horizon":[37],"optimal":[38],"control":[39,72,97],"problem":[40],"at":[41],"sampled":[43],"nodes":[44],"are":[45],"used":[46],"(1)":[47],"to":[48,68,103],"learn":[49],"inner":[51],"outer":[53],"approximation":[54],"feasible":[57,77,90],"region":[58,78],"support":[63],"vector":[64],"machines,":[65],"(2)":[67],"construct":[69],"surface":[73],"on":[74,85],"computed":[76],"regression":[80],"or":[81],"sparse-grid":[82],"interpolation,":[83],"depending":[84],"shape":[87],"region.":[91],"attractiveness":[93],"scheme":[98],"lies":[99],"in":[100],"its":[101],"tractability":[102],"higher-dimensional":[104],"with":[106],"feasibility":[107],"stability":[109],"guarantees,":[110],"significantly":[111],"small":[112],"online":[113],"computation":[114],"times,":[115],"ease":[117],"implementation.":[119]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":2}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}