{"id":"https://openalex.org/W2290429602","doi":"https://doi.org/10.1109/cdc.2015.7402994","title":"Scenario-based Stochastic MPC with guaranteed recursive feasibility","display_name":"Scenario-based Stochastic MPC with guaranteed recursive feasibility","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2290429602","doi":"https://doi.org/10.1109/cdc.2015.7402994","mag":"2290429602"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2015.7402994","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402994","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","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/A5080991094","display_name":"Matthias Lorenzen","orcid":"https://orcid.org/0000-0001-6189-6371"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Matthias Lorenzen","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001090900","display_name":"Frank Allg\u00f6wer","orcid":"https://orcid.org/0000-0002-3702-3658"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank Allgower","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078379817","display_name":"Fabrizio Dabbene","orcid":"https://orcid.org/0000-0002-2258-8971"},"institutions":[{"id":"https://openalex.org/I4210100607","display_name":"Institute of Electronics, Computer and Telecommunication Engineering","ror":"https://ror.org/00n4jbh84","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210100607","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fabrizio Dabbene","raw_affiliation_strings":["CNR-IEIIT, Italy"],"affiliations":[{"raw_affiliation_string":"CNR-IEIIT, Italy","institution_ids":["https://openalex.org/I4210100607"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087344658","display_name":"Roberto Tempo","orcid":null},"institutions":[{"id":"https://openalex.org/I4210100607","display_name":"Institute of Electronics, Computer and Telecommunication Engineering","ror":"https://ror.org/00n4jbh84","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210100607","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Roberto Tempo","raw_affiliation_strings":["CNR-IEIIT, Italy"],"affiliations":[{"raw_affiliation_string":"CNR-IEIIT, Italy","institution_ids":["https://openalex.org/I4210100607"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5080991094"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":null,"apc_paid":null,"fwci":1.683,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.86511705,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"4958","last_page":"4963"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.996399998664856,"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":0.988099992275238,"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/computer-science","display_name":"Computer science","score":0.6732858419418335},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6302360892295837},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5984455943107605},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5818795561790466},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5423529744148254},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.5336697101593018},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5192780494689941},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4966652989387512},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.48687973618507385},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.46445322036743164},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4212223291397095},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42056310176849365},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29265907406806946},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24930870532989502},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2145642638206482},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17903479933738708},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1716461479663849},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09223249554634094}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6732858419418335},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6302360892295837},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5984455943107605},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5818795561790466},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5423529744148254},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.5336697101593018},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5192780494689941},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4966652989387512},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.48687973618507385},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.46445322036743164},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4212223291397095},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42056310176849365},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29265907406806946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24930870532989502},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2145642638206482},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17903479933738708},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1716461479663849},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09223249554634094},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2015.7402994","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402994","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1494024620","https://openalex.org/W1524886571","https://openalex.org/W1599873380","https://openalex.org/W1678380195","https://openalex.org/W2007921211","https://openalex.org/W2012067635","https://openalex.org/W2018993554","https://openalex.org/W2028678875","https://openalex.org/W2047159956","https://openalex.org/W2052255798","https://openalex.org/W2060016034","https://openalex.org/W2062825632","https://openalex.org/W2076641619","https://openalex.org/W2080717363","https://openalex.org/W2099296721","https://openalex.org/W2114778194","https://openalex.org/W2162117184","https://openalex.org/W2167412190","https://openalex.org/W2170990015","https://openalex.org/W2171505650","https://openalex.org/W2537449683","https://openalex.org/W3099369367","https://openalex.org/W3104125907","https://openalex.org/W3212877690","https://openalex.org/W4211147054","https://openalex.org/W6631546732","https://openalex.org/W6637240367","https://openalex.org/W6666427159"],"related_works":["https://openalex.org/W1990079087","https://openalex.org/W2060165215","https://openalex.org/W2101188133","https://openalex.org/W3202234113","https://openalex.org/W4248731570","https://openalex.org/W2381210024","https://openalex.org/W2384015130","https://openalex.org/W2094121346","https://openalex.org/W4285595274","https://openalex.org/W2146787633"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"recursive":[3,51],"feasibility":[4,52],"and":[5],"asymptotic":[6,89],"stability,":[7],"as":[8,10],"well":[9],"the":[11,14,44,62,111,114],"reduction":[12],"of":[13,113],"online":[15,63,72,106],"computational":[16],"complexity,":[17],"in":[18,46],"scenario-based":[19],"Stochastic":[20,108],"Model":[21],"Predictive":[22],"Control":[23],"for":[24],"systems":[25],"with":[26,91,104],"time-varying":[27],"parametric":[28],"uncertainty.":[29],"We":[30],"propose":[31],"a":[32,48,102],"scheme,":[33],"based":[34],"on":[35],"offline":[36],"uncertainty":[37],"sampling,":[38],"which":[39,77,100],"allows":[40],"to":[41,69],"suitably":[42],"modify":[43],"constraints":[45],"such":[47],"way":[49],"that":[50],"can":[53,81,94],"be":[54,70,82,95],"guaranteed":[55],"robustly.":[56],"The":[57],"approach":[58],"significantly":[59],"speeds":[60],"up":[61],"computation,":[64],"because":[65],"no":[66],"samples":[67],"need":[68],"generated":[71],"and,":[73],"furthermore,":[74],"unnecessary":[75],"samples,":[76],"create":[78],"redundant":[79],"constraints,":[80],"removed":[83],"offline.":[84],"Under":[85],"mild":[86],"additional":[87],"assumptions,":[88],"stability":[90],"probability":[92],"one":[93],"proved.":[96],"A":[97],"numerical":[98],"example,":[99],"provides":[101],"comparison":[103],"classical":[105],"sampling-based":[107],"MPC,":[109],"demonstrates":[110],"efficacy":[112],"proposed":[115],"approach.":[116]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}