{"id":"https://openalex.org/W7134971041","doi":"https://doi.org/10.48550/arxiv.2603.09421","title":"Distributionally robust two-stage model predictive control: adaptive constraint tightening with stability guarantee","display_name":"Distributionally robust two-stage model predictive control: adaptive constraint tightening with stability guarantee","publication_year":2026,"publication_date":"2026-03-10","ids":{"openalex":"https://openalex.org/W7134971041","doi":"https://doi.org/10.48550/arxiv.2603.09421"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.09421","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.09421","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.09421","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057621342","display_name":"Weijiang Zheng","orcid":"https://orcid.org/0000-0002-1725-2488"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zheng, Weijiang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126740269","display_name":"Jiayi Huang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Huang, Jiayi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5128752746","display_name":"Bing Zhu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhu, Bing","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057621342"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9837999939918518,"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":0.9837999939918518,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.005200000014156103,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.0010000000474974513,"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/robustness","display_name":"Robustness (evolution)","score":0.6430000066757202},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.586899995803833},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5795000195503235},{"id":"https://openalex.org/keywords/constraint-satisfaction","display_name":"Constraint satisfaction","score":0.5503000020980835},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5145000219345093},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4717999994754791},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4713999927043915},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.4666999876499176},{"id":"https://openalex.org/keywords/ambiguity","display_name":"Ambiguity","score":0.46560001373291016}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6430000066757202},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6428999900817871},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.586899995803833},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5795000195503235},{"id":"https://openalex.org/C44616089","wikidata":"https://www.wikidata.org/wiki/Q30158686","display_name":"Constraint satisfaction","level":3,"score":0.5503000020980835},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5145000219345093},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4717999994754791},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4713999927043915},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.4666999876499176},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.46560001373291016},{"id":"https://openalex.org/C177606310","wikidata":"https://www.wikidata.org/wiki/Q5674297","display_name":"Adaptability","level":2,"score":0.45879998803138733},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4465000033378601},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43549999594688416},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.41620001196861267},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37549999356269836},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3517000079154968},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.3231000006198883},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.3199000060558319},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.3125},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.30640000104904175},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.2978000044822693},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.2874000072479248},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.2802000045776367},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.2685000002384186}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.09421","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.09421","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.09421","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.09421","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.48142150044441223,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Model":[0],"Predictive":[1],"Control":[2],"(MPC)":[3],"is":[4,58,179],"widely":[5],"recognized":[6],"for":[7,154],"its":[8],"ability":[9],"to":[10,38,173,181],"explicitly":[11],"handle":[12],"system":[13,17],"constraints.":[14],"In":[15],"practice,":[16],"states":[18],"are":[19],"often":[20,59],"affected":[21],"by":[22],"disturbances":[23,120],"with":[24,102,121],"unknown":[25,122],"distributions.":[26],"While":[27],"robust":[28,111],"MPC":[29,43,74,83],"guarantees":[30],"constraint":[31,92,117,170,178],"satisfaction":[32],"under":[33,162,226],"worst-case":[34],"scenarios,":[35],"it":[36],"tends":[37],"be":[39],"overly":[40],"conservative.":[41],"Stochastic":[42],"balances":[44],"conservatism":[45],"and":[46,76,125,140,185,205,220],"performance":[47,208],"but":[48],"relies":[49],"on":[50,210],"precise":[51],"knowledge":[52],"of":[53,151,187,222],"the":[54,73,103,174,182,211,218,223],"disturbance":[55,228],"distribution,":[56],"which":[57],"unavailable.":[60],"To":[61,157],"address":[62],"this":[63,65,177],"challenge,":[64],"paper":[66],"introduces":[67],"Distributionally":[68,81],"Robust":[69,82],"Optimization":[70],"(DRO)":[71],"into":[72],"framework":[75,225],"proposes":[77],"a":[78,96,108,128,134,142,148,168],"novel":[79],"Two-Stage":[80],"(TSDR-MPC)":[84],"scheme.":[85],"The":[86],"key":[87],"innovation":[88],"lies":[89],"in":[90,147],"formulating":[91],"violation":[93],"penalties":[94],"as":[95],"second-stage":[97],"optimization":[98],"problem,":[99],"which,":[100],"combined":[101],"first-stage":[104],"quadratic":[105],"cost,":[106],"constitutes":[107],"two-stage":[109],"distributionally":[110],"program.":[112],"This":[113],"structure":[114],"enables":[115],"adaptive":[116],"tightening":[118],"against":[119],"time-varying":[123],"means":[124],"covariances.":[126],"Utilizing":[127],"Wasserstein":[129],"ambiguity":[130],"set,":[131],"we":[132,166],"derive":[133],"tractable":[135],"reformulation":[136],"via":[137],"strong":[138],"duality":[139],"develop":[141],"cutting-plane":[143],"algorithm":[144,203],"that":[145],"converges":[146],"finite":[149],"number":[150],"iterations,":[152],"suitable":[153],"real-time":[155],"implementation.":[156],"ensure":[158],"closed-loop":[159,213],"stability":[160],"even":[161],"non-zero":[163],"mean":[164],"disturbances,":[165],"introduce":[167],"terminal":[169],"applied":[171],"solely":[172],"nominal":[175],"system;":[176],"proportional":[180],"current":[183],"state":[184],"independent":[186],"distributional":[188],"uncertainty,":[189],"thus":[190],"preserving":[191],"overall":[192],"feasibility.":[193],"We":[194],"provide":[195],"rigorous":[196],"theoretical":[197],"guarantees,":[198],"including":[199],"recursive":[200],"feasibility,":[201],"finite-time":[202],"termination,":[204],"an":[206],"asymptotic":[207],"bound":[209],"average":[212],"cost.":[214],"Numerical":[215],"simulations":[216],"validate":[217],"adaptability":[219],"robustness":[221],"proposed":[224],"various":[227],"scenarios.":[229]},"counts_by_year":[],"updated_date":"2026-03-12T06:18:43.230356","created_date":"2026-03-12T00:00:00"}