{"id":"https://openalex.org/W4391940863","doi":"https://doi.org/10.1109/tac.2024.3390870","title":"Minimal Constraint Violation Probability in Model Predictive Control for Linear Systems","display_name":"Minimal Constraint Violation Probability in Model Predictive Control for Linear Systems","publication_year":2024,"publication_date":"2024-04-18","ids":{"openalex":"https://openalex.org/W4391940863","doi":"https://doi.org/10.1109/tac.2024.3390870"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3390870","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tac.2024.3390870","pdf_url":"https://ieeexplore.ieee.org/ielx7/9/4601496/10504958.pdf","source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/9/4601496/10504958.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020472790","display_name":"Michael Fink","orcid":"https://orcid.org/0000-0003-4197-5464"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Michael Fink","raw_affiliation_strings":["Chair of Automatic Control Engineering, Department of Electrical and Computer Engineering, Technical University of Munich, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0003-4197-5464","affiliations":[{"raw_affiliation_string":"Chair of Automatic Control Engineering, Department of Electrical and Computer Engineering, Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081356815","display_name":"Tim Br\u00fcdigam","orcid":"https://orcid.org/0000-0001-8913-8003"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tim Br\u00fcdigam","raw_affiliation_strings":["Chair of Automatic Control Engineering, Department of Electrical and Computer Engineering, Technical University of Munich, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0001-8913-8003","affiliations":[{"raw_affiliation_string":"Chair of Automatic Control Engineering, Department of Electrical and Computer Engineering, Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061769472","display_name":"Dirk Wollherr","orcid":"https://orcid.org/0000-0003-2810-6790"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dirk Wollherr","raw_affiliation_strings":["Chair of Automatic Control Engineering, Department of Electrical and Computer Engineering, Technical University of Munich, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0003-2810-6790","affiliations":[{"raw_affiliation_string":"Chair of Automatic Control Engineering, Department of Electrical and Computer Engineering, Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032338124","display_name":"Marion Leibold","orcid":"https://orcid.org/0000-0002-2802-5600"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marion Leibold","raw_affiliation_strings":["Chair of Automatic Control Engineering, Department of Electrical and Computer Engineering, Technical University of Munich, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0002-2802-5600","affiliations":[{"raw_affiliation_string":"Chair of Automatic Control Engineering, Department of Electrical and Computer Engineering, Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5020472790"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":1.2621,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.77965168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"69","issue":"10","first_page":"7043","last_page":"7050"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9991000294685364,"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":0.9991000294685364,"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/T12910","display_name":"Eicosanoids and Hypertension Pharmacology","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/1303","display_name":"Biochemistry"},"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"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9531000256538391,"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":0.8337759971618652},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.7478785514831543},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5590615272521973},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5232545137405396},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5079358220100403},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5078168511390686},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5053635239601135},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.460126131772995},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.42289280891418457},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36902034282684326},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20418009161949158},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11805793642997742},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.09752023220062256}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.8337759971618652},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.7478785514831543},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5590615272521973},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5232545137405396},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5079358220100403},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5078168511390686},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5053635239601135},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.460126131772995},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.42289280891418457},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36902034282684326},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20418009161949158},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11805793642997742},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.09752023220062256},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2024.3390870","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tac.2024.3390870","pdf_url":"https://ieeexplore.ieee.org/ielx7/9/4601496/10504958.pdf","source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2402.10538","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2402.10538","pdf_url":"https://arxiv.org/pdf/2402.10538","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":"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":"text"}],"best_oa_location":{"id":"doi:10.1109/tac.2024.3390870","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tac.2024.3390870","pdf_url":"https://ieeexplore.ieee.org/ielx7/9/4601496/10504958.pdf","source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7799999713897705,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G7085345141","display_name":null,"funder_award_id":"490649198","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320328348","display_name":"Bayerisch-Kalifornischen Hochschulzentrum","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391940863.pdf","grobid_xml":"https://content.openalex.org/works/W4391940863.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1488006703","https://openalex.org/W1524886571","https://openalex.org/W1608758704","https://openalex.org/W1963805330","https://openalex.org/W1978956894","https://openalex.org/W1985296887","https://openalex.org/W2000347248","https://openalex.org/W2018386036","https://openalex.org/W2029490915","https://openalex.org/W2066778083","https://openalex.org/W2070587197","https://openalex.org/W2070768496","https://openalex.org/W2084008601","https://openalex.org/W2084166574","https://openalex.org/W2097148013","https://openalex.org/W2106041333","https://openalex.org/W2110349823","https://openalex.org/W2139430868","https://openalex.org/W2162117184","https://openalex.org/W2291320639","https://openalex.org/W2399440847","https://openalex.org/W2557055507","https://openalex.org/W2736502650","https://openalex.org/W2749680651","https://openalex.org/W2964111918","https://openalex.org/W2967550568","https://openalex.org/W3007985585","https://openalex.org/W3012317880","https://openalex.org/W3013679533","https://openalex.org/W3015470607","https://openalex.org/W3033760439","https://openalex.org/W3037742481","https://openalex.org/W3043676607","https://openalex.org/W3044230171","https://openalex.org/W3158413423","https://openalex.org/W3169388569","https://openalex.org/W3196505544","https://openalex.org/W4210704952","https://openalex.org/W4289927891"],"related_works":["https://openalex.org/W1990079087","https://openalex.org/W2101188133","https://openalex.org/W3202234113","https://openalex.org/W4248731570","https://openalex.org/W2381210024","https://openalex.org/W2060165215","https://openalex.org/W2384015130","https://openalex.org/W4285595274","https://openalex.org/W81137451","https://openalex.org/W2556120871"],"abstract_inverted_index":{"Handling":[0],"uncertainty":[1,29],"in":[2,59],"model":[3,45,116],"predictive":[4,46,117],"control":[5,47,95,118],"comes":[6],"with":[7],"various":[8],"challenges,":[9],"especially":[10],"when":[11],"considering":[12],"state":[13,55],"constraints":[14,56],"under":[15,106],"uncertainty.":[16,64],"Most":[17],"methods":[18],"focus":[19],"on":[20],"either":[21],"the":[22,51,60,77,93,111,114],"conservative":[23],"approach":[24,48],"of":[25,35,62,73,79,113],"robustly":[26],"accounting":[27],"for":[28,92],"or":[30],"allowing":[31],"a":[32,43,71],"small":[33],"probability":[34,52,78],"constraint":[36,80],"violation.":[37,81],"In":[38],"this":[39,83],"work,":[40],"we":[41],"propose":[42],"linear":[44,54],"that":[49,53,75],"minimizes":[50],"are":[57],"violated":[58],"presence":[61],"additive":[63],"This":[65],"is":[66,86,99,104],"achieved":[67],"by":[68],"first":[69],"determining":[70],"set":[72,85],"inputs":[74,91],"minimize":[76],"Then,":[82],"resulting":[84],"used":[87],"to":[88],"define":[89],"admissible":[90],"optimal":[94],"problem.":[96],"Recursive":[97],"feasibility":[98],"guaranteed":[100],"and":[101],"input-to-state":[102],"stability":[103],"proved":[105],"assumptions.":[107],"Numerical":[108],"results":[109],"illustrate":[110],"benefits":[112],"proposed":[115],"approach.":[119]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
