{"id":"https://openalex.org/W2164701641","doi":"https://doi.org/10.1109/cdc.2009.5400903","title":"Real-time MPC - Stability through robust MPC design","display_name":"Real-time MPC - Stability through robust MPC design","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2164701641","doi":"https://doi.org/10.1109/cdc.2009.5400903","mag":"2164701641"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400903","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400903","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/169748","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037513714","display_name":"Melanie N. Zeilinger","orcid":"https://orcid.org/0000-0003-4570-7571"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Melanie N. Zeilinger","raw_affiliation_strings":["Automatic Control Laboratory, ETH Zurich, Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085117832","display_name":"Colin N. Jones","orcid":"https://orcid.org/0000-0001-7239-4799"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Colin N. Jones","raw_affiliation_strings":["Automatic Control Laboratory, ETH Zurich, Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066356946","display_name":"Davide M. Raimondo","orcid":"https://orcid.org/0000-0003-4249-7935"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Davide M. Raimondo","raw_affiliation_strings":["Automatic Control Laboratory, ETH Zurich, Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025946191","display_name":"Manfred Morari","orcid":"https://orcid.org/0000-0002-7696-5058"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Manfred Morari","raw_affiliation_strings":["Automatic Control Laboratory, ETH Zurich, Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.3908,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.95610729,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"3980","last_page":"3986"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":1.0,"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":1.0,"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":0.9951000213623047,"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/T10409","display_name":"Fuel Cells and Related Materials","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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":0.8491924405097961},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7475407123565674},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6859219074249268},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6627265214920044},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6459999680519104},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6233936548233032},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5065993070602417},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5022263526916504},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.48648616671562195},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4463229179382324},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43516674637794495},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4303465485572815},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2846892178058624},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.2725464701652527},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22854098677635193},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17802593111991882},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12267345190048218}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.8491924405097961},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7475407123565674},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6859219074249268},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6627265214920044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6459999680519104},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6233936548233032},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5065993070602417},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5022263526916504},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.48648616671562195},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4463229179382324},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43516674637794495},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4303465485572815},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2846892178058624},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2725464701652527},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22854098677635193},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17802593111991882},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12267345190048218},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc.2009.5400903","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400903","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:arts.units.it:11368/3051488","is_oa":false,"landing_page_url":"https://hdl.handle.net/11368/3051488","pdf_url":null,"source":{"id":"https://openalex.org/S4306400480","display_name":"ArTS Archivio della ricerca di Trieste (University of Trieste https://www.units.it/)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142444530","host_organization_name":"University of Trieste","host_organization_lineage":["https://openalex.org/I142444530"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:infoscience.epfl.ch:169748","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/169748","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"pmh:oai:infoscience.tind.io:169748","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/71930","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference proceedings"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:169748","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/169748","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W94566284","https://openalex.org/W184169746","https://openalex.org/W184374361","https://openalex.org/W1511213320","https://openalex.org/W1558342402","https://openalex.org/W1576823098","https://openalex.org/W1976410223","https://openalex.org/W1978956894","https://openalex.org/W1981723834","https://openalex.org/W1983864916","https://openalex.org/W1993170675","https://openalex.org/W2011428018","https://openalex.org/W2023285936","https://openalex.org/W2038137192","https://openalex.org/W2095233962","https://openalex.org/W2097796092","https://openalex.org/W2102737570","https://openalex.org/W2119974577","https://openalex.org/W2127580532","https://openalex.org/W2134078068","https://openalex.org/W2136654005","https://openalex.org/W2156963939","https://openalex.org/W2161807732","https://openalex.org/W2182510773","https://openalex.org/W2241352138","https://openalex.org/W2296319761","https://openalex.org/W2399393671","https://openalex.org/W2536620281","https://openalex.org/W3146603598","https://openalex.org/W3210839039","https://openalex.org/W4250589301","https://openalex.org/W6607527191","https://openalex.org/W6639883250","https://openalex.org/W6677641952","https://openalex.org/W6690446307"],"related_works":["https://openalex.org/W2992264723","https://openalex.org/W2550747327","https://openalex.org/W2032523123","https://openalex.org/W2137994854","https://openalex.org/W2126474951","https://openalex.org/W2141572421","https://openalex.org/W1505013685","https://openalex.org/W2291665350","https://openalex.org/W1997861095","https://openalex.org/W2541780046"],"abstract_inverted_index":{"Recent":[0],"results":[1],"have":[2],"suggested":[3],"that":[4,74,86,132],"online":[5],"Model":[6],"Predictive":[7],"Control":[8],"(MPC)":[9],"can":[10,108],"be":[11,109],"computed":[12],"quickly":[13],"enough":[14],"to":[15,55,137],"control":[16,149],"fast":[17,82],"sampled":[18],"systems.":[19],"High-speed":[20],"applications":[21],"impose":[22],"a":[23,57,65,87,125,152,164],"hard":[24],"real-time":[25,58,66,126],"constraint":[26],"on":[27,47,70],"the":[28,31,37,40],"solution":[29,96],"of":[30,39,118,155,176],"MPC":[32,67,72,128],"problem,":[33],"which":[34],"generally":[35],"prevents":[36],"computation":[38,134],"optimal":[41],"controller.":[42],"In":[43,60],"current":[44],"approaches":[45],"guarantees":[46,77,97],"feasibility":[48,98],"and":[49,99,112,151,170],"stability":[50,100],"are":[51,130],"sacrificed":[52],"in":[53,161],"order":[54],"achieve":[56],"setting.":[59],"this":[61],"paper":[62],"we":[63],"develop":[64],"scheme":[68],"based":[69],"robust":[71,127],"design":[73],"recovers":[75],"these":[76],"while":[78],"allowing":[79],"for":[80,101,115,124,140,173],"extremely":[81],"computation.":[83],"We":[84],"show":[85],"simple":[88],"warm-start":[89],"optimization":[90],"procedure":[91],"providing":[92],"an":[93],"enhanced":[94],"feasible":[95],"arbitrary":[102],"time":[103,157],"constraints.":[104],"The":[105],"proposed":[106],"method":[107,129],"practically":[110],"implemented":[111],"efficiently":[113],"solved":[114,160],"dynamic":[116],"systems":[117],"significant":[119],"problem":[120,146],"size.":[121],"Implementation":[122],"details":[123],"provided":[131],"achieves":[133],"times":[135],"equal":[136],"those":[138],"reported":[139],"methods":[141],"without":[142],"guarantees.":[143],"A":[144],"12-dimensional":[145],"with":[147,163],"3":[148],"inputs":[150],"prediction":[153],"horizon":[154],"10":[156],"steps":[158],"is":[159],"2msec":[162],"performance":[165],"deterioration":[166],"less":[167],"than":[168],"1%":[169],"thereby":[171],"allows":[172],"sampling":[174],"rates":[175],"500Hz.":[177]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-13T07:54:00.901334","created_date":"2025-10-10T00:00:00"}
