{"id":"https://openalex.org/W2030469774","doi":"https://doi.org/10.1109/cdc.2011.6161258","title":"Learning a feasible and stabilizing explicit model predictive control law by robust optimization","display_name":"Learning a feasible and stabilizing explicit model predictive control law by robust optimization","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2030469774","doi":"https://doi.org/10.1109/cdc.2011.6161258","mag":"2030469774"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6161258","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161258","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European 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/169723","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079722989","display_name":"Alexander Domahidi","orcid":"https://orcid.org/0000-0002-6828-1668"},"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":true,"raw_author_name":"Alexander Domahidi","raw_affiliation_strings":["Automatic Control Laboratory, Department of Information Technology and Electrical Engineering, ETH Zurich, Zurich, Switzerland","[Automatic Control Laboratory, Department of Information Technology and Electrical Engineering, ETH Zurich, 8092, Switzerland]"],"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, Department of Information Technology and Electrical Engineering, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"[Automatic Control Laboratory, Department of Information Technology and Electrical Engineering, ETH Zurich, 8092, Switzerland]","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","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, Department of Information Technology and Electrical Engineering, ETH Zurich, Zurich, Switzerland","[Automatic Control Laboratory, Department of Information Technology and Electrical Engineering, ETH Zurich, 8092, Switzerland]"],"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, Department of Information Technology and Electrical Engineering, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"[Automatic Control Laboratory, Department of Information Technology and Electrical Engineering, ETH Zurich, 8092, Switzerland]","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","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, Department of Information Technology and Electrical Engineering, ETH Zurich, Zurich, Switzerland","[Automatic Control Laboratory, Department of Information Technology and Electrical Engineering, ETH Zurich, 8092, Switzerland]"],"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, Department of Information Technology and Electrical Engineering, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"[Automatic Control Laboratory, Department of Information Technology and Electrical Engineering, ETH Zurich, 8092, Switzerland]","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085117832","display_name":"Colin N. Jones","orcid":"https://orcid.org/0000-0001-7239-4799"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Colin N. Jones","raw_affiliation_strings":["Automatic Control Laboratory, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Automatic Control Laboratory, \u00c1cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), 1015, Switzerland"],"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Automatic Control Laboratory, \u00c1cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), 1015, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5079722989"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":4.5966,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.9447088,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"513","last_page":"519"},"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":0.9997000098228455,"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":0.9983999729156494,"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":0.6991499066352844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.571563184261322},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4724175035953522},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.45727068185806274},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.45262405276298523},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.42320892214775085},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35467204451560974},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.24912723898887634},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23620623350143433},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20387807488441467},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16574272513389587},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.11067399382591248}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.6991499066352844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.571563184261322},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4724175035953522},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.45727068185806274},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.45262405276298523},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.42320892214775085},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35467204451560974},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.24912723898887634},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23620623350143433},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20387807488441467},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16574272513389587},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.11067399382591248},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2011.6161258","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161258","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:infoscience.epfl.ch:169723","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/169723","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:169723","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/71895","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":null,"raw_type":"conference proceedings"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:169723","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/169723","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":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W93885277","https://openalex.org/W94566284","https://openalex.org/W124292005","https://openalex.org/W597932189","https://openalex.org/W1544738626","https://openalex.org/W1567012231","https://openalex.org/W1576823098","https://openalex.org/W1579498353","https://openalex.org/W1964357740","https://openalex.org/W1978956894","https://openalex.org/W1993170675","https://openalex.org/W1999780595","https://openalex.org/W2023285936","https://openalex.org/W2061757541","https://openalex.org/W2080718931","https://openalex.org/W2113622443","https://openalex.org/W2115703139","https://openalex.org/W2121433320","https://openalex.org/W2129480103","https://openalex.org/W2131849402","https://openalex.org/W2142323399","https://openalex.org/W2144884795","https://openalex.org/W2150530793","https://openalex.org/W2160954093","https://openalex.org/W2168091882","https://openalex.org/W2182510773","https://openalex.org/W2536620281","https://openalex.org/W2570513205","https://openalex.org/W4210899143","https://openalex.org/W4245558064","https://openalex.org/W4251616545","https://openalex.org/W6634150524"],"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/W2060165215","https://openalex.org/W2384015130","https://openalex.org/W4285595274","https://openalex.org/W2556120871","https://openalex.org/W2780594579"],"abstract_inverted_index":{"Fast":[0],"model":[1],"predictive":[2],"control":[3,105],"on":[4,52,76],"embedded":[5,120],"systems":[6],"has":[7],"been":[8],"successfully":[9],"applied":[10],"to":[11,63],"plants":[12],"with":[13],"microsecond":[14],"sampling":[15],"times":[16],"employing":[17],"a":[18,42],"precomputed":[19],"state-to-input":[20],"map.":[21],"However,":[22],"the":[23,77,81,99,113,129,132],"complexity":[24],"of":[25,83,98,131],"this":[26,38],"so-called":[27],"explicit":[28],"MPC":[29,49],"can":[30,107],"be":[31,108],"prohibitive":[32],"even":[33],"for":[34,46,117],"low-dimensional":[35],"systems.":[36],"In":[37,61],"paper,":[39],"we":[40,72],"introduce":[41],"new":[43],"synthesis":[44],"method":[45],"low-complexity":[47],"suboptimal":[48],"controllers":[50],"based":[51],"function":[53],"approximation":[54],"from":[55],"randomly":[56],"chosen":[57],"point-wise":[58],"sample":[59],"values.":[60],"addition":[62],"standard":[64],"machine":[65],"learning":[66,78],"algorithms":[67],"formulated":[68],"as":[69,123],"convex":[70,85],"programs,":[71],"provide":[73],"sufficient":[74],"conditions":[75],"algorithm":[79],"in":[80],"form":[82],"tractable":[84],"constraints":[86],"that":[87],"guarantee":[88],"input":[89],"and":[90,96],"state":[91],"constraint":[92],"satisfaction,":[93],"recursive":[94],"feasibility":[95],"stability":[97],"closed":[100],"loop":[101],"system.":[102],"The":[103],"resulting":[104],"law":[106],"fully":[109],"parallelized,":[110],"which":[111],"renders":[112],"approach":[114],"particularly":[115],"suitable":[116],"highly":[118],"concurrent":[119],"platforms":[121],"such":[122],"FPGAs.":[124],"A":[125],"numerical":[126],"example":[127],"shows":[128],"effectiveness":[130],"proposed":[133],"method.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}