{"id":"https://openalex.org/W4402803809","doi":"https://doi.org/10.1109/tac.2024.3466869","title":"Error-Free Approximation of Explicit Linear MPC Through Lattice Piecewise Affine Expression","display_name":"Error-Free Approximation of Explicit Linear MPC Through Lattice Piecewise Affine Expression","publication_year":2024,"publication_date":"2024-09-24","ids":{"openalex":"https://openalex.org/W4402803809","doi":"https://doi.org/10.1109/tac.2024.3466869"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3466869","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3466869","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5040253195","display_name":"Jun Xu","orcid":"https://orcid.org/0000-0002-2934-4814"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Xu","raw_affiliation_strings":["Department of Automation, Harbin Institute of Technology, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Harbin Institute of Technology, Shenzhen, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087749601","display_name":"Yunjiang Lou","orcid":"https://orcid.org/0000-0001-8203-7795"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunjiang Lou","raw_affiliation_strings":["Department of Automation, Harbin Institute of Technology, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Harbin Institute of Technology, Shenzhen, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026547410","display_name":"Bart De Schutter","orcid":"https://orcid.org/0000-0001-9867-6196"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Bart De Schutter","raw_affiliation_strings":["Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands","Delft Center for Systems and Control, Delft University of Technology, Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Delft Center for Systems and Control, Delft University of Technology, Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108990532","display_name":"Zhenhua Xiong","orcid":null},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenhua Xiong","raw_affiliation_strings":["State Key Laboratory of Mechanical Systems and Vibration, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Mechanical Systems and Vibration, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040253195"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":0.7128,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72702582,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"70","issue":"3","first_page":"1745","last_page":"1760"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9835000038146973,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9835000038146973,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9824000000953674,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9745000004768372,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.5488123297691345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5291873812675476},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5098013281822205},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.489303320646286},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4234331250190735},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3957723379135132},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2844257354736328},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27550286054611206},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2724313735961914},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19871056079864502},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08569243550300598},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08433258533477783}],"concepts":[{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.5488123297691345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5291873812675476},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5098013281822205},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.489303320646286},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4234331250190735},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3957723379135132},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2844257354736328},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27550286054611206},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2724313735961914},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19871056079864502},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08569243550300598},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08433258533477783},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2024.3466869","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3466869","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.4099999964237213,"display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G5569057711","display_name":null,"funder_award_id":"62173113","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8898837535","display_name":null,"funder_award_id":"2022A1515011584","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1480093734","https://openalex.org/W1490017902","https://openalex.org/W1527567078","https://openalex.org/W1977323979","https://openalex.org/W1982929029","https://openalex.org/W1993170675","https://openalex.org/W2013439434","https://openalex.org/W2015782214","https://openalex.org/W2039799007","https://openalex.org/W2041806131","https://openalex.org/W2068820478","https://openalex.org/W2095881941","https://openalex.org/W2103012681","https://openalex.org/W2111087336","https://openalex.org/W2118266259","https://openalex.org/W2139868442","https://openalex.org/W2147532464","https://openalex.org/W2153909400","https://openalex.org/W2160954093","https://openalex.org/W2161893575","https://openalex.org/W2168487450","https://openalex.org/W2292719583","https://openalex.org/W2320868965","https://openalex.org/W2340736219","https://openalex.org/W2576097227","https://openalex.org/W2594616446","https://openalex.org/W2734169062","https://openalex.org/W2767948786","https://openalex.org/W2783421355","https://openalex.org/W2810195925","https://openalex.org/W2930426397","https://openalex.org/W2988715390","https://openalex.org/W3189223768","https://openalex.org/W4210339293","https://openalex.org/W6631546732"],"related_works":["https://openalex.org/W2038416447","https://openalex.org/W1982160337","https://openalex.org/W2364151838","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2160609742","https://openalex.org/W2979526210","https://openalex.org/W1997414638"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"the":[3,46,57,69,75,85,93,101,111,125,136,156,163],"disjunctive":[4,76],"and":[5,26,38,63,135,151],"conjunctive":[6,86],"lattice":[7,49,60,77,103,141],"piecewise":[8],"affine":[9,28],"(PWA)":[10],"approximations":[11,62,105,109,143],"of":[12,24,48,59,92,100,113,124],"explicit":[13],"linear":[14],"model":[15],"predictive":[16],"control":[17,29,35,66,96],"(MPC)":[18],"are":[19,31,42],"proposed.":[20],"Training":[21],"data":[22],"consisting":[23],"states":[25],"corresponding":[27],"laws":[30],"generated":[32],"in":[33,110],"a":[34,81,119],"invariant":[36],"set,":[37],"redundant":[39],"sample":[40,70],"points":[41],"removed":[43],"to":[44,55],"simplify":[45],"construction":[47],"PWA":[50,61,78,104,142],"approximations.":[51],"Resampling":[52],"is":[53,116,129,159],"proposed":[54,126],"guarantee":[56],"equivalence":[58,99],"optimal":[64,95],"MPC":[65],"law":[67],"at":[68],"points.":[71],"Under":[72],"certain":[73],"conditions,":[74],"approximation":[79,127],"constitutes":[80],"lower":[82],"bound,":[83],"whereas":[84],"version":[87],"formulates":[88],"an":[89],"upper":[90],"bound":[91],"original":[94],"law.":[97],"The":[98,122],"two":[102,132],"then":[106],"guarantees":[107],"error-free":[108,140],"domain":[112],"interest,":[114],"which":[115],"tested":[117,130],"through":[118,131],"statistical":[120],"guarantee.":[121],"performance":[123],"strategy":[128],"simulation":[133],"examples,":[134],"results":[137],"show":[138],"that":[139],"can":[144],"be":[145],"obtained":[146],"with":[147,162],"low":[148],"offline":[149],"complexity":[150,158],"small":[152],"storage":[153],"requirements.":[154],"Besides,":[155],"online":[157],"less":[160],"compared":[161],"state-of-the-art":[164],"method.":[165]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}