{"id":"https://openalex.org/W2181862095","doi":"https://doi.org/10.1137/140994290","title":"Distributed Model Predictive Control of Linear Systems with Stochastic Parametric Uncertainties and Coupled Probabilistic Constraints","display_name":"Distributed Model Predictive Control of Linear Systems with Stochastic Parametric Uncertainties and Coupled Probabilistic Constraints","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2181862095","doi":"https://doi.org/10.1137/140994290","mag":"2181862095"},"language":"en","primary_location":{"id":"doi:10.1137/140994290","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140994290","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-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/A5100664401","display_name":"Li Dai","orcid":"https://orcid.org/0000-0002-7268-7548"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li Dai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064231378","display_name":"Yuanqing Xia","orcid":"https://orcid.org/0000-0002-5977-4911"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yuanqing Xia","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5012777183","display_name":"Yulong Gao","orcid":"https://orcid.org/0000-0003-2338-5487"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yulong Gao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6697,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.85999335,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"53","issue":"6","first_page":"3411","last_page":"3431"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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/T10876","display_name":"Fault Detection and Control Systems","score":0.9987000226974487,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/probabilistic-logic","display_name":"Probabilistic logic","score":0.8603028059005737},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.674961268901825},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6639926433563232},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4836919903755188},{"id":"https://openalex.org/keywords/polynomial-chaos","display_name":"Polynomial chaos","score":0.44233983755111694},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.42137905955314636},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41770821809768677},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4083714485168457},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18679460883140564},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.17394688725471497}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.8603028059005737},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.674961268901825},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6639926433563232},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4836919903755188},{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.44233983755111694},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.42137905955314636},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41770821809768677},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4083714485168457},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18679460883140564},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.17394688725471497},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/140994290","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140994290","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1515213997","https://openalex.org/W1538934584","https://openalex.org/W1805381866","https://openalex.org/W1963805330","https://openalex.org/W1965597870","https://openalex.org/W1965847964","https://openalex.org/W1967729795","https://openalex.org/W1967842749","https://openalex.org/W1968660011","https://openalex.org/W1971590281","https://openalex.org/W1972515405","https://openalex.org/W1976129091","https://openalex.org/W1978956894","https://openalex.org/W2001898391","https://openalex.org/W2006601385","https://openalex.org/W2007952299","https://openalex.org/W2012067635","https://openalex.org/W2018159038","https://openalex.org/W2020036842","https://openalex.org/W2060016034","https://openalex.org/W2084548836","https://openalex.org/W2086077633","https://openalex.org/W2110349823","https://openalex.org/W2118200824","https://openalex.org/W2119974577","https://openalex.org/W2131127817","https://openalex.org/W2144144515","https://openalex.org/W2154067661","https://openalex.org/W2321957512","https://openalex.org/W2332771484","https://openalex.org/W2333393323"],"related_works":["https://openalex.org/W339217817","https://openalex.org/W2797263970","https://openalex.org/W2891782306","https://openalex.org/W2287391662","https://openalex.org/W4381886630","https://openalex.org/W2971126152","https://openalex.org/W1990079087","https://openalex.org/W2142056387","https://openalex.org/W2789381754","https://openalex.org/W1529815908"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,21,46,51,59,63,112,139,154,157],"distributed":[4,93],"stochastic":[5,18,47],"model":[6],"predictive":[7],"control":[8,31],"(DSMPC)":[9],"for":[10,29,141],"multiple":[11],"constrained":[12],"dynamically":[13],"decoupled":[14],"subsystems":[15],"subject":[16],"to":[17,44,100,126,152],"uncertainties":[19,49],"in":[20,91,137],"parameters.":[22],"To":[23],"obtain":[24],"a":[25,33,92,97,102],"computationally":[26],"tractable":[27],"formulation":[28],"real":[30],"applications,":[32],"spectral":[34],"method":[35],"called":[36],"generalized":[37],"polynomial":[38],"chaos":[39],"expansions":[40],"(gPCEs)":[41],"is":[42,150],"utilized":[43],"propagate":[45],"parametric":[48],"through":[50],"system":[52],"model.":[53],"By":[54],"using":[55],"gPCEs":[56],"combined":[57],"with":[58,124],"probabilistic":[60,67,71,89,131],"information":[61],"on":[62],"uncertainties,":[64],"both":[65,127],"local":[66,103,128],"constraints":[68,72,83,90,132],"and":[69,129,133],"coupled":[70,88,130],"are":[73],"converted":[74],"explicitly":[75],"into":[76],"deterministic":[77],"convex":[78],"second-order":[79],"cone":[80],"constraints.":[81],"The":[82,116],"can":[84],"achieve":[85],"satisfaction":[86],"of":[87,114,144,156],"way":[94],"by":[95],"permitting":[96],"single":[98],"subsystem":[99],"optimize":[101],"cost":[104],"function":[105],"at":[106],"each":[107],"time":[108],"step,":[109],"while":[110],"\u201cfreezing\u201d":[111],"plans":[113],"others.":[115],"proposed":[117,158],"gPCEs-based":[118],"DSMPC":[119],"algorithm":[120],"guarantees":[121],"recursive":[122],"feasibility":[123],"respect":[125],"ensures":[134],"asymptotic":[135],"stability":[136],"all":[138],"moments":[140],"any":[142],"choice":[143],"update":[145],"sequence.":[146],"A":[147],"numerical":[148],"example":[149],"used":[151],"illustrate":[153],"effectiveness":[155],"algorithm.":[159]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
