{"id":"https://openalex.org/W4401041629","doi":"https://doi.org/10.1109/tac.2024.3433988","title":"Online Constraint Tightening in Stochastic Model Predictive Control: A Regression Approach","display_name":"Online Constraint Tightening in Stochastic Model Predictive Control: A Regression Approach","publication_year":2024,"publication_date":"2024-07-26","ids":{"openalex":"https://openalex.org/W4401041629","doi":"https://doi.org/10.1109/tac.2024.3433988"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3433988","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tac.2024.3433988","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1109/tac.2024.3433988","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009683170","display_name":"Alexandre Capone","orcid":"https://orcid.org/0000-0002-4358-0012"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexandre Capone","raw_affiliation_strings":["Robotics Institute, Carnegie Mellon University, Pittsburgh, PA, USA","Robotics Institute, Carnegie Mellon University, 5000 Forbes Ave, Pittsburgh, PA, USA"],"raw_orcid":"https://orcid.org/0000-0002-4358-0012","affiliations":[{"raw_affiliation_string":"Robotics Institute, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Robotics Institute, Carnegie Mellon University, 5000 Forbes Ave, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081356815","display_name":"Tim Br\u00fcdigam","orcid":"https://orcid.org/0000-0001-8913-8003"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tim Br\u00fcdigam","raw_affiliation_strings":["Chair of Automatic Control Engineering, Technical University of Munich, Munich, Germany","Chair of Automatic Control Engineering, Technical University of Munich, Arcisstra\u00dfe 21, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0001-8913-8003","affiliations":[{"raw_affiliation_string":"Chair of Automatic Control Engineering, Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Chair of Automatic Control Engineering, Technical University of Munich, Arcisstra\u00dfe 21, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024376647","display_name":"Sandra Hirche","orcid":"https://orcid.org/0000-0001-7819-5926"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sandra Hirche","raw_affiliation_strings":["School of Computation, Information and Technology, Technical University of Munich, Munich, Germany","School of Computation, Information and Technology, Technical University of Munich, Arcisstra\u00df 21, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0001-7819-5926","affiliations":[{"raw_affiliation_string":"School of Computation, Information and Technology, Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"School of Computation, Information and Technology, Technical University of Munich, Arcisstra\u00df 21, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009683170"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":1.5514,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82732045,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"70","issue":"2","first_page":"736","last_page":"750"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9876999855041504,"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":0.9876999855041504,"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/T11801","display_name":"Reservoir Engineering and Simulation Methods","score":0.9304999709129333,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9014000296592712,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6999539136886597},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6169883012771606},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.613345742225647},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5452109575271606},{"id":"https://openalex.org/keywords/margin","display_name":"Margin (machine learning)","score":0.44546639919281006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4184594750404358},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.417923241853714},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.4164023995399475},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4102340340614319},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.26743245124816895},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14937609434127808},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.11639243364334106}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6999539136886597},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6169883012771606},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.613345742225647},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5452109575271606},{"id":"https://openalex.org/C774472","wikidata":"https://www.wikidata.org/wiki/Q6760393","display_name":"Margin (machine learning)","level":2,"score":0.44546639919281006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4184594750404358},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.417923241853714},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.4164023995399475},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4102340340614319},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.26743245124816895},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14937609434127808},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.11639243364334106},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2024.3433988","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tac.2024.3433988","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1754978","is_oa":true,"landing_page_url":"https://mediatum.ub.tum.de/1754978","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/tac.2024.3433988","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tac.2024.3433988","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1584017872","https://openalex.org/W1589640982","https://openalex.org/W1968261502","https://openalex.org/W1999131722","https://openalex.org/W2000347248","https://openalex.org/W2003514920","https://openalex.org/W2071710340","https://openalex.org/W2075529263","https://openalex.org/W2088620494","https://openalex.org/W2097148013","https://openalex.org/W2111117254","https://openalex.org/W2122337269","https://openalex.org/W2126998183","https://openalex.org/W2154067661","https://openalex.org/W2162117184","https://openalex.org/W2346460013","https://openalex.org/W2399440847","https://openalex.org/W2557055507","https://openalex.org/W2781981287","https://openalex.org/W2804964303","https://openalex.org/W2900130645","https://openalex.org/W2901507551","https://openalex.org/W2964111918","https://openalex.org/W2982046139","https://openalex.org/W3011595849","https://openalex.org/W3025528584","https://openalex.org/W3037742481","https://openalex.org/W4211049957","https://openalex.org/W4226066837","https://openalex.org/W4310300362","https://openalex.org/W6640000427","https://openalex.org/W6674989108","https://openalex.org/W6675823452","https://openalex.org/W6758804334"],"related_works":["https://openalex.org/W1990079087","https://openalex.org/W3125011624","https://openalex.org/W1508631387","https://openalex.org/W3202234113","https://openalex.org/W2370917603","https://openalex.org/W2952760143","https://openalex.org/W4388311650","https://openalex.org/W5922282","https://openalex.org/W2017776670","https://openalex.org/W2101188133"],"abstract_inverted_index":{"Solving":[0],"chance-constrained":[1,35],"stochastic":[2,36,61],"optimal":[3,37],"control":[4,38],"problems":[5,39],"is":[6,13,86],"a":[7,22,42,56,88,108,133,140,201],"significant":[8],"challenge":[9],"in":[10,64,196,200],"control.":[11,118],"This":[12,105],"because":[14],"no":[15],"analytical":[16],"solutions":[17],"exist":[18],"for":[19,33,111,129,145],"up":[20,176],"to":[21,100,148,177],"handful":[23],"of":[24,41,69,126],"special":[25],"cases.":[26],"A":[27],"common":[28],"and":[29,74],"computationally":[30],"efficient":[31],"approach":[32,110,186],"tackling":[34],"consists":[40],"deterministic":[43],"reformulation,":[44],"where":[45],"hard":[46],"constraints":[47,93,175,195],"with":[48,182],"an":[49,178],"additional":[50],"constraint-tightening":[51,70,114,127,152,170,188],"parameter":[52,71,128],"are":[53,94],"imposed":[54],"on":[55],"nominal":[57],"prediction":[58],"that":[59,81,154,167,190],"ignores":[60],"disturbances.":[62],"However,":[63],"such":[65],"approaches,":[66],"the":[67,82,91,113,124,130,150,156,161,168,173,193],"choice":[68,125],"remains":[72],"challenging,":[73],"guarantees":[75],"can":[76],"mostly":[77],"be":[78],"obtained":[79],"assuming":[80],"process":[83],"noise":[84],"distribution":[85],"known":[87],"priori.":[89],"Moreover,":[90],"chance":[92,157,174,194],"often":[95],"not":[96],"tightly":[97,191],"satisfied,":[98],"leading":[99],"unnecessarily":[101],"hi":[102],"gh":[103],"costs.":[104],"work":[106],"proposes":[107],"data-driven":[109],"learning":[112],"parameters":[115,153,163,171,189],"online":[116],"during":[117],"To":[119],"this":[120],"end,":[121],"we":[122,165],"reformulate":[123],"closed-loop":[131],"as":[132],"binary":[134,146],"regression":[135,147],"problem.":[136],"We":[137],"then":[138],"leverage":[139],"highly":[141],"expressive":[142],"(gp)":[143],"model":[144],"approximate":[149],"smallest":[151],"satisfy":[155,172,192],"constraints.":[158],"By":[159],"tuning":[160],"algorithm":[162],"appropriately,":[164],"show":[166],"resulting":[169,199],"arbitrarily":[179],"small":[180],"margin":[181],"high":[183],"probability.":[184],"Our":[185],"yields":[187],"numerical":[197],"experiments,":[198],"lower":[202],"average":[203],"cost":[204],"than":[205],"three":[206],"other":[207],"state-of-the-art":[208],"approaches.":[209]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}
