{"id":"https://openalex.org/W7128477721","doi":"https://doi.org/10.1109/tsmc.2026.3659146","title":"Learning-Based Model Predictive Control With High-Probability Safety Using Gaussian Mixture Models","display_name":"Learning-Based Model Predictive Control With High-Probability Safety Using Gaussian Mixture Models","publication_year":2026,"publication_date":"2026-02-10","ids":{"openalex":"https://openalex.org/W7128477721","doi":"https://doi.org/10.1109/tsmc.2026.3659146"},"language":null,"primary_location":{"id":"doi:10.1109/tsmc.2026.3659146","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2026.3659146","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics: Systems","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/A5125530014","display_name":"Xinli Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210090971","display_name":"Southeast University","ror":"https://ror.org/00cf0ab87","country_code":"BD","type":"education","lineage":["https://openalex.org/I4210090971"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["BD","CN"],"is_corresponding":false,"raw_author_name":"Xinli Shi","raw_affiliation_strings":["School of Cyber Science and Engineering and the National Center for Applied Mathematics in Jiangsu, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-4443-608X","affiliations":[{"raw_affiliation_string":"School of Cyber Science and Engineering and the National Center for Applied Mathematics in Jiangsu, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I4210090971","https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125575512","display_name":"Qi Gao","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Gao","raw_affiliation_strings":["School of Cyber Science and Engineering, Southeast University, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Cyber Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125590064","display_name":"Shaoyang Li","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaoyang Li","raw_affiliation_strings":["School of Cyber Science and Engineering, Southeast University, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Cyber Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125530878","display_name":"Guanghui Wen","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanghui Wen","raw_affiliation_strings":["School of Automation, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-0070-8597","affiliations":[{"raw_affiliation_string":"School of Automation, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5125572055","display_name":"Jinde Cao","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-3133-7119","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13647788,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"56","issue":"6","first_page":"3497","last_page":"3509"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.8723999857902527,"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":0.8723999857902527,"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":0.02419999986886978,"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":0.012000000104308128,"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":0.7764999866485596},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6912999749183655},{"id":"https://openalex.org/keywords/mixture-model","display_name":"Mixture model","score":0.6848000288009644},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5200999975204468},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.47920000553131104},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41620001196861267}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.7764999866485596},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6912999749183655},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.6848000288009644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5647000074386597},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5200999975204468},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.47920000553131104},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41620001196861267},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.41100001335144043},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3880999982357025},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.35910001397132874},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.35100001096725464},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.34709998965263367},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30720001459121704},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.28380000591278076},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.26660001277923584},{"id":"https://openalex.org/C132835097","wikidata":"https://www.wikidata.org/wiki/Q7663745","display_name":"System safety","level":2,"score":0.2590000033378601}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2026.3659146","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2026.3659146","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1209436459","display_name":null,"funder_award_id":"62473098","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6059143659","display_name":null,"funder_award_id":"DE250100961","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0,92,155],"article":[1],"introduces":[2],"a":[3],"learning-based":[4],"model":[5,44],"predictive":[6],"control":[7,97,165],"(MPC)":[8],"framework":[9,42],"that":[10,94,112,162],"leverages":[11],"Gaussian":[12,79],"mixture":[13],"models":[14],"(GMMs)":[15],"to":[16,43,133],"address":[17,23],"dynamic":[18,74],"system":[19,32,107],"uncertainties":[20],"effectively.":[21],"To":[22],"the":[24,40,53,59,89,95,113,126,130,137,143],"limitations":[25],"of":[26,129],"traditional":[27,78],"MPC":[28,41,90,135],"methods":[29],"in":[30,73,119,160],"handling":[31],"disturbances":[33,49],"and":[34,45,86,150,173],"uncertainties,":[35,147,167],"we":[36],"integrate":[37],"GMM":[38,67],"into":[39],"account":[46],"for":[47],"these":[48],"probabilistically.":[50],"By":[51],"reformulating":[52],"chance":[54],"constraints":[55,103],"within":[56,88],"this":[57],"framework,":[58],"proposed":[60,114,138],"approach":[61,156],"provides":[62],"high-probability":[63,121],"safety":[64,102,122,151],"guarantees.":[65],"Specifically,":[66],"can":[68,140],"capture":[69],"complex":[70,175],"disturbance":[71],"distributions":[72],"systems":[75],"compared":[76],"with":[77],"processes,":[80],"thereby":[81],"enabling":[82],"more":[83],"precise":[84],"prediction":[85],"optimization":[87],"loop.":[91],"ensures":[93],"resulting":[96],"strategies":[98],"not":[99],"only":[100],"satisfy":[101],"but":[104],"also":[105],"enhance":[106],"performance.":[108],"Experimental":[109],"evaluations":[110],"demonstrate":[111],"method":[115,139],"achieves":[116],"superior":[117],"performance":[118],"satisfying":[120],"requirements":[123],"while":[124],"enhancing":[125],"overall":[127],"robustness":[128],"system.":[131],"Compared":[132],"conventional":[134],"approaches,":[136],"effectively":[141],"tackle":[142],"challenges":[144],"posed":[145],"by":[146],"ensuring":[148],"stability":[149],"under":[152,166],"diverse":[153],"conditions.":[154],"has":[157],"broad":[158],"applications":[159],"domains":[161],"require":[163],"robust":[164],"including":[168],"autonomous":[169],"driving,":[170],"robotic":[171],"manipulation,":[172],"other":[174],"engineering":[176],"systems.":[177]},"counts_by_year":[],"updated_date":"2026-05-19T06:13:58.757530","created_date":"2026-02-11T00:00:00"}
