{"id":"https://openalex.org/W2171435857","doi":"https://doi.org/10.1109/cca.2005.1507131","title":"Efficient approximate robust MPC based on quad-tree partitioning","display_name":"Efficient approximate robust MPC based on quad-tree partitioning","publication_year":2005,"publication_date":"2005-09-12","ids":{"openalex":"https://openalex.org/W2171435857","doi":"https://doi.org/10.1109/cca.2005.1507131","mag":"2171435857"},"language":"en","primary_location":{"id":"doi:10.1109/cca.2005.1507131","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2005.1507131","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of 2005 IEEE Conference on Control Applications, 2005. CCA 2005.","raw_type":"proceedings-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/A5061512459","display_name":"Marcin Cychowski","orcid":null},"institutions":[{"id":"https://openalex.org/I4210100923","display_name":"Munster Technological University","ror":"https://ror.org/013xpqh61","country_code":"IE","type":"facility","lineage":["https://openalex.org/I4210100923"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"M.T. Cychowski","raw_affiliation_strings":["Cork Institute of Technology, Cork, Ireland"],"affiliations":[{"raw_affiliation_string":"Cork Institute of Technology, Cork, Ireland","institution_ids":["https://openalex.org/I4210100923"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048179980","display_name":"Tom O\u2019Mahony","orcid":"https://orcid.org/0000-0002-0658-5797"},"institutions":[{"id":"https://openalex.org/I4210100923","display_name":"Munster Technological University","ror":"https://ror.org/013xpqh61","country_code":"IE","type":"facility","lineage":["https://openalex.org/I4210100923"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"T. O'Mahony","raw_affiliation_strings":["Cork Institute of Technology, Cork, Ireland"],"affiliations":[{"raw_affiliation_string":"Cork Institute of Technology, Cork, Ireland","institution_ids":["https://openalex.org/I4210100923"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061512459"],"corresponding_institution_ids":["https://openalex.org/I4210100923"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.1537353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"40","issue":null,"first_page":"239","last_page":"239"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9966999888420105,"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":0.9947999715805054,"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":0.8388437032699585},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6790814399719238},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.49267107248306274},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.4598385691642761},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.444920152425766},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.44303956627845764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43670907616615295},{"id":"https://openalex.org/keywords/double-integrator","display_name":"Double integrator","score":0.4323536157608032},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.42016786336898804},{"id":"https://openalex.org/keywords/constraint-satisfaction","display_name":"Constraint satisfaction","score":0.4165296256542206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4026930332183838},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.2425108551979065},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18189868330955505},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12273937463760376}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.8388437032699585},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6790814399719238},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.49267107248306274},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4598385691642761},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.444920152425766},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.44303956627845764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43670907616615295},{"id":"https://openalex.org/C2779323837","wikidata":"https://www.wikidata.org/wiki/Q5300045","display_name":"Double integrator","level":3,"score":0.4323536157608032},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.42016786336898804},{"id":"https://openalex.org/C44616089","wikidata":"https://www.wikidata.org/wiki/Q30158686","display_name":"Constraint satisfaction","level":3,"score":0.4165296256542206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4026930332183838},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2425108551979065},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18189868330955505},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12273937463760376},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cca.2005.1507131","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2005.1507131","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of 2005 IEEE Conference on Control Applications, 2005. CCA 2005.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7200000286102295,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W202694","https://openalex.org/W51111985","https://openalex.org/W1580451663","https://openalex.org/W1976410223","https://openalex.org/W1978956894","https://openalex.org/W1986296919","https://openalex.org/W2000927067","https://openalex.org/W2026903670","https://openalex.org/W2037768031","https://openalex.org/W2067679406","https://openalex.org/W2105451534","https://openalex.org/W2134702196","https://openalex.org/W2160954093","https://openalex.org/W2162805088","https://openalex.org/W2171505650","https://openalex.org/W2314351207","https://openalex.org/W4242246215","https://openalex.org/W4254785040","https://openalex.org/W6602058955","https://openalex.org/W6667477397","https://openalex.org/W6699021412"],"related_works":["https://openalex.org/W1990079087","https://openalex.org/W2060165215","https://openalex.org/W2101188133","https://openalex.org/W3202234113","https://openalex.org/W4248731570","https://openalex.org/W2381210024","https://openalex.org/W2384015130","https://openalex.org/W2094121346","https://openalex.org/W2767128392","https://openalex.org/W4205300464"],"abstract_inverted_index":{"Recently,":[0],"the":[1,5,24,40,53,62,69,75,107,111,119],"approximate":[2],"solutions":[3,81],"to":[4,61,82,92,105,138],"infinite":[6],"horizon":[7],"min-max":[8],"model":[9,84],"predictive":[10,85],"control":[11,70,86,139],"with":[12],"a":[13,27,65,94,99,140,144],"time-varying":[14],"terminal":[15],"cost":[16,102],"and":[17,149],"constraint":[18],"have":[19],"been":[20],"explicitly":[21],"characterized":[22],"in":[23,55,68,78,110],"form":[25],"of":[26,39,49,64,97,118,125,127,143],"piecewise":[28],"affine":[29],"(PWA)":[30],"state":[31],"feedback":[32],"law":[33],"defined":[34],"on":[35],"an":[36,150],"orthogonal":[37,88],"partition":[38],"state-space":[41],"[M.T.":[42],"Cychowski,":[43],"T.":[44],"O'Mahony,":[45],"2005].":[46],"The":[47,133],"advantage":[48],"this":[50],"formulation":[51],"is":[52,103,121,136],"reduction":[54],"online":[56],"computational":[57],"complexity":[58],"which":[59],"amounts":[60],"evaluation":[63],"PWA":[66],"function":[67],"unit.":[71],"This":[72],"paper":[73],"extends":[74],"authors":[76],"work":[77],"\"efficient":[79],"off-line":[80],"robust":[83],"using":[87],"partitioning\".":[89],"In":[90],"order":[91],"accommodate":[93],"wider":[95],"class":[96],"systems,":[98],"nominal":[100],"performance":[101],"chosen":[104],"substitute":[106],"\"worst-case\"":[108],"one":[109],"existing":[112],"MPC":[113],"technique.":[114],"Robust":[115],"exponential":[116],"stability":[117],"controller":[120],"established":[122],"by":[123],"means":[124],"satisfaction":[126],"certain":[128],"linear":[129],"matrix":[130],"inequalities":[131],"(LMIs).":[132],"proposed":[134],"approach":[135],"applied":[137],"current":[141],"loop":[142],"permanent-magnet":[145],"synchronous":[146],"motor":[147],"(PMSM)":[148],"uncertain":[151],"double":[152],"integrator":[153]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}