{"id":"https://openalex.org/W1494851228","doi":"https://doi.org/10.1109/ascc.2015.7244488","title":"A scenario-based convex formulation for probabilistic linear constraints in MPC","display_name":"A scenario-based convex formulation for probabilistic linear constraints in MPC","publication_year":2015,"publication_date":"2015-05-01","ids":{"openalex":"https://openalex.org/W1494851228","doi":"https://doi.org/10.1109/ascc.2015.7244488","mag":"1494851228"},"language":"en","primary_location":{"id":"doi:10.1109/ascc.2015.7244488","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ascc.2015.7244488","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 10th Asian Control Conference (ASCC)","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/A5102910326","display_name":"Jiwei Li","orcid":"https://orcid.org/0000-0002-5473-2165"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jiwei Li","raw_affiliation_strings":["Department of Automation, Ministry of Education, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Ministry of Education, Shanghai, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100650327","display_name":"Dewei Li","orcid":"https://orcid.org/0000-0002-0604-7518"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dewei Li","raw_affiliation_strings":["Department of Automation, Ministry of Education, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Ministry of Education, Shanghai, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038377162","display_name":"Yugeng Xi","orcid":"https://orcid.org/0000-0001-8869-5676"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yugeng Xi","raw_affiliation_strings":["Department of Automation, Ministry of Education, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Ministry of Education, Shanghai, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102910326"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.02047961,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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":0.9975000023841858,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9787999987602234,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.7643536925315857},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.761917233467102},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6956121325492859},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6502057313919067},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.48679038882255554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45959314703941345},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.4561845362186432},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45264437794685364},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4405212104320526},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.42814862728118896},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.4196193814277649},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4090993106365204},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4083578586578369},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2959515452384949},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10942623019218445}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.7643536925315857},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.761917233467102},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6956121325492859},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6502057313919067},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.48679038882255554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45959314703941345},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.4561845362186432},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45264437794685364},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4405212104320526},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.42814862728118896},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.4196193814277649},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4090993106365204},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4083578586578369},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2959515452384949},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10942623019218445},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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":1,"locations":[{"id":"doi:10.1109/ascc.2015.7244488","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ascc.2015.7244488","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 10th Asian Control Conference (ASCC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1545452079","https://openalex.org/W1963805330","https://openalex.org/W1966569928","https://openalex.org/W1971590281","https://openalex.org/W1976466849","https://openalex.org/W1978956894","https://openalex.org/W2000347248","https://openalex.org/W2008240282","https://openalex.org/W2018339765","https://openalex.org/W2029264889","https://openalex.org/W2039551338","https://openalex.org/W2062949119","https://openalex.org/W2069364408","https://openalex.org/W2076641619","https://openalex.org/W2080717363","https://openalex.org/W2084553776","https://openalex.org/W2106041333","https://openalex.org/W2116124714","https://openalex.org/W2116455765","https://openalex.org/W2126998183","https://openalex.org/W2154067661","https://openalex.org/W2537449683","https://openalex.org/W3099369367","https://openalex.org/W3102002161","https://openalex.org/W3105032021"],"related_works":["https://openalex.org/W2916043681","https://openalex.org/W2896131632","https://openalex.org/W2522231841","https://openalex.org/W2391438543","https://openalex.org/W2008231869","https://openalex.org/W323119424","https://openalex.org/W2551069560","https://openalex.org/W1972258194","https://openalex.org/W2997473813","https://openalex.org/W4250631474"],"abstract_inverted_index":{"This":[0,47],"paper":[1],"develops":[2],"a":[3,55,70,116],"model":[4],"predictive":[5],"control":[6],"strategy":[7],"for":[8],"stochastic":[9,58],"linear":[10,92],"systems":[11],"with":[12,44],"both":[13],"multiplicative":[14],"and":[15,74,78,94,108],"additive":[16],"uncertainty.":[17],"As":[18],"satisfaction":[19],"of":[20,31,57,60,83],"probabilistic":[21,86],"constraints":[22,87,93,107],"as":[23,25],"well":[24],"performance":[26],"optimization":[27,73],"relies":[28],"on":[29],"description":[30],"the":[32,61,81,84,106],"random":[33],"system":[34,41],"nature,":[35],"we":[36],"derive":[37],"polyhedrons":[38],"that":[39],"contain":[40],"evolution":[42,63],"matrices":[43],"prescribed":[45],"probability.":[46],"is":[48,67],"achieved":[49],"by":[50,115],"letting":[51],"each":[52],"polyhedron":[53],"incorporates":[54],"number":[56],"scenarios":[59],"corresponding":[62],"matrix.":[64],"The":[65,101,111],"process":[66],"efficient":[68],"through":[69],"designed":[71],"convex":[72],"subsequent":[75],"off-line":[76],"scaling":[77],"verification.":[79],"On":[80],"basis":[82],"polyhedrons,":[85],"can":[88],"be":[89,95],"transformed":[90],"into":[91],"solved":[96],"in":[97],"reduced":[98],"computation":[99],"burden.":[100],"proposed":[102],"MPC":[103],"algorithm":[104],"ensures":[105],"closed-loop":[109],"stability.":[110],"results":[112],"are":[113],"illustrated":[114],"numerical":[117],"example.":[118]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}