{"id":"https://openalex.org/W2016001465","doi":"https://doi.org/10.1109/cdc.2011.6161244","title":"Synthesis of low-complexity stabilizing piecewise affine controllers: A control-Lyapunov function approach","display_name":"Synthesis of low-complexity stabilizing piecewise affine controllers: A control-Lyapunov function approach","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2016001465","doi":"https://doi.org/10.1109/cdc.2011.6161244","mag":"2016001465"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6161244","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161244","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","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/A5101851459","display_name":"Liang Lu","orcid":"https://orcid.org/0000-0002-9403-330X"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]},{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["CN","NL"],"is_corresponding":true,"raw_author_name":"Liang Lu","raw_affiliation_strings":["Department of Mechanical Engineering, Eindhovan University of Technology, Netherlands","State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Eindhovan University of Technology, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063241688","display_name":"W.P.M.H. Heemels","orcid":"https://orcid.org/0000-0003-3440-8007"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"W. P. M. H. Heemels","raw_affiliation_strings":["Department of Mechanical Engineering, Eindhovan University of Technology, Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Eindhovan University of Technology, Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053340099","display_name":"Alberto Bemporad","orcid":"https://orcid.org/0000-0001-6761-0856"},"institutions":[{"id":"https://openalex.org/I127077003","display_name":"IMT School for Advanced Studies Lucca","ror":"https://ror.org/035gh3a49","country_code":"IT","type":"education","lineage":["https://openalex.org/I127077003"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alberto Bemporad","raw_affiliation_strings":["IMT Institute for Advanced Studies, Italy"],"affiliations":[{"raw_affiliation_string":"IMT Institute for Advanced Studies, Italy","institution_ids":["https://openalex.org/I127077003"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101851459"],"corresponding_institution_ids":["https://openalex.org/I83019370","https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":9.1932,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.97626591,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1227","last_page":"1232"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":1.0,"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":1.0,"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":0.9984999895095825,"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/T11053","display_name":"Process Optimization and Integration","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/lyapunov-function","display_name":"Lyapunov function","score":0.638731837272644},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.5576905012130737},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5500978231430054},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5462262034416199},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5454944968223572},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5060026049613953},{"id":"https://openalex.org/keywords/constraint-satisfaction","display_name":"Constraint satisfaction","score":0.492165744304657},{"id":"https://openalex.org/keywords/control-lyapunov-function","display_name":"Control-Lyapunov function","score":0.46921268105506897},{"id":"https://openalex.org/keywords/parametric-programming","display_name":"Parametric programming","score":0.46284598112106323},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.41588565707206726},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41079646348953247},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.3419751226902008},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2922535538673401},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2318882942199707},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1870521605014801}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.638731837272644},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.5576905012130737},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5500978231430054},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5462262034416199},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5454944968223572},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5060026049613953},{"id":"https://openalex.org/C44616089","wikidata":"https://www.wikidata.org/wiki/Q30158686","display_name":"Constraint satisfaction","level":3,"score":0.492165744304657},{"id":"https://openalex.org/C201030206","wikidata":"https://www.wikidata.org/wiki/Q5165805","display_name":"Control-Lyapunov function","level":5,"score":0.46921268105506897},{"id":"https://openalex.org/C2776045410","wikidata":"https://www.wikidata.org/wiki/Q25111241","display_name":"Parametric programming","level":3,"score":0.46284598112106323},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.41588565707206726},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41079646348953247},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.3419751226902008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2922535538673401},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2318882942199707},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1870521605014801},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc.2011.6161244","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161244","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/063adc3e-0db9-4c2e-b6d4-1a591bcbe26c","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/063adc3e-0db9-4c2e-b6d4-1a591bcbe26c","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lu, L, Heemels, W P M H & Bemporad, A 2011, Synthesis of low-complexity stabilizing piecewise affine controllers : a control-Lyapunov function approach. in Proceedings of the 50th IEEE Conference on Decision and Control (CDC 2011), 12-15 December 2011, Orlando, USA. Institute of Electrical and Electronics Engineers, Piscataway, pp. 1227-1232, 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011), Orlando, Florida, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6161244","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:library.tue.nl:731905","is_oa":false,"landing_page_url":"http://repository.tue.nl/731905","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:tue:oai:pure.tue.nl:publications/063adc3e-0db9-4c2e-b6d4-1a591bcbe26c","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/063adc3e-0db9-4c2e-b6d4-1a591bcbe26c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 50th IEEE Conference on Decision and Control (CDC 2011), 12-15 December 2011, Orlando, USA, 1227 - 1232","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7799999713897705,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W56517051","https://openalex.org/W1470137088","https://openalex.org/W1552127371","https://openalex.org/W1978956894","https://openalex.org/W2023126268","https://openalex.org/W2038137192","https://openalex.org/W2046355729","https://openalex.org/W2109873351","https://openalex.org/W2111087336","https://openalex.org/W2115314075","https://openalex.org/W2127817708","https://openalex.org/W2129764375","https://openalex.org/W2144884795","https://openalex.org/W2162805088","https://openalex.org/W2168091882","https://openalex.org/W2168487450","https://openalex.org/W6602246533","https://openalex.org/W6662135948"],"related_works":["https://openalex.org/W3217133416","https://openalex.org/W2349796700","https://openalex.org/W1970635650","https://openalex.org/W2475132469","https://openalex.org/W1976574339","https://openalex.org/W2126112326","https://openalex.org/W2383986032","https://openalex.org/W2358066536","https://openalex.org/W2147929414","https://openalex.org/W2496188264"],"abstract_inverted_index":{"Explicit":[0],"model":[1],"predictive":[2],"controllers":[3,18,57,124],"computed":[4,126],"exactly":[5],"by":[6],"multi-parametric":[7],"optimization":[8],"techniques":[9],"often":[10],"lead":[11],"to":[12,53,90,105,140,148],"piecewise":[13],"affine":[14],"(PWA)":[15],"state":[16],"feedback":[17],"with":[19,66],"highly":[20],"complex":[21],"and":[22,117],"irregular":[23],"partitionings":[24,60],"of":[25,36,159],"the":[26,34,37,81,95,99,122,142,150,157,160],"feasible":[27],"set.":[28],"In":[29],"many":[30],"cases":[31],"complexity":[32],"prohibits":[33],"implementation":[35,65],"resulting":[38],"MPC":[39,93],"control":[40,101],"law":[41,102],"for":[42,84,98],"fast":[43,63],"or":[44],"large-scale":[45],"system.":[46],"This":[47],"paper":[48],"presents":[49],"a":[50,72,85,91,128],"new":[51],"approach":[52],"synthesize":[54],"low-complexity":[55,100],"PWA":[56,73,123],"on":[58,71,127],"regular":[59,130],"that":[61],"enhance":[62],"on-line":[64],"low":[67],"memory":[68],"requirements.":[69,120],"Based":[70],"control-Lyapunov":[74],"function,":[75],"which":[76,112],"can":[77],"be":[78],"obtained":[79],"as":[80],"optimal":[82],"cost":[83],"constrained":[86],"linear":[87,107],"system":[88],"corresponding":[89],"stabilizing":[92],"setup,":[94],"synthesis":[96],"procedure":[97,139],"boils":[103],"down":[104],"local":[106],"programming":[108],"(LP)":[109],"feasibility":[110],"problems,":[111],"guarantee":[113],"stability,":[114],"constraint":[115],"satisfaction,":[116],"certain":[118],"performance":[119],"Initially,":[121],"are":[125],"fixed":[129],"partitioning.":[131],"However,":[132],"we":[133],"also":[134],"present":[135],"an":[136],"automatic":[137],"refinement":[138],"refine":[141],"partitioning":[143],"where":[144],"necessary":[145],"in":[146],"order":[147],"satisfy":[149],"design":[151],"specifications.":[152],"A":[153],"numerical":[154],"example":[155],"show":[156],"effectiveness":[158],"novel":[161],"approach.":[162]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}