{"id":"https://openalex.org/W2101210869","doi":"https://doi.org/10.1109/ecctd.2011.6043632","title":"Low-complexity approximations of PWA functions: A case study on Adaptive Cruise Control","display_name":"Low-complexity approximations of PWA functions: A case study on Adaptive Cruise Control","publication_year":2011,"publication_date":"2011-08-01","ids":{"openalex":"https://openalex.org/W2101210869","doi":"https://doi.org/10.1109/ecctd.2011.6043632","mag":"2101210869"},"language":"en","primary_location":{"id":"doi:10.1109/ecctd.2011.6043632","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecctd.2011.6043632","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 20th European Conference on Circuit Theory and Design (ECCTD)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/3430757","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084304391","display_name":"Alberto Oliveri","orcid":"https://orcid.org/0000-0002-2000-6851"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Oliveri","raw_affiliation_strings":["Biophysical and Electronic Engineering Department, University of Genoa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Biophysical and Electronic Engineering Department, University of Genoa, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056327541","display_name":"Gerrit Naus","orcid":null},"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":"G.J.L. Naus","raw_affiliation_strings":["Department of Mechanical Engineering, Technische Universiteit Eindhoven, Netherlands","Department of Mechanical Engineering, Technische Universiteit Eindhoven (TU/e), the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Technische Universiteit Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Technische Universiteit Eindhoven (TU/e), the Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042093020","display_name":"Marco Storace","orcid":"https://orcid.org/0000-0003-4958-074X"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Storace","raw_affiliation_strings":["Biophysical and Electronic Engineering Department, University of Genoa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Biophysical and Electronic Engineering Department, University of Genoa, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"last","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, Technische Universiteit Eindhoven, Netherlands","Department of Mechanical Engineering, Technische Universiteit Eindhoven (TU/e), the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Technische Universiteit Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Technische Universiteit Eindhoven (TU/e), the Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.0743,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.94249141,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"109","issue":null,"first_page":"669","last_page":"672"},"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":0.9957000017166138,"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/T12810","display_name":"Real-time simulation and control systems","score":0.9909999966621399,"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/cruise-control","display_name":"Cruise control","score":0.6727399826049805},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.6676076650619507},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5999354720115662},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5468938946723938},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5446585416793823},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.48830580711364746},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.47726601362228394},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.46441763639450073},{"id":"https://openalex.org/keywords/function-approximation","display_name":"Function approximation","score":0.46272554993629456},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4613284170627594},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.45601868629455566},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42549705505371094},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41584813594818115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41039949655532837},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3305674195289612},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14617803692817688},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.09905418753623962},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09050202369689941},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07941880822181702},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07714790105819702}],"concepts":[{"id":"https://openalex.org/C113168747","wikidata":"https://www.wikidata.org/wiki/Q507295","display_name":"Cruise control","level":3,"score":0.6727399826049805},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.6676076650619507},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5999354720115662},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5468938946723938},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5446585416793823},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.48830580711364746},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.47726601362228394},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.46441763639450073},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.46272554993629456},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4613284170627594},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.45601868629455566},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42549705505371094},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41584813594818115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41039949655532837},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3305674195289612},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14617803692817688},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.09905418753623962},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09050202369689941},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07941880822181702},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07714790105819702},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/ecctd.2011.6043632","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecctd.2011.6043632","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 20th European Conference on Circuit Theory and Design (ECCTD)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/945119b1-b6d5-4ff9-bdc7-4f7bbd3cacb6","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/945119b1-b6d5-4ff9-bdc7-4f7bbd3cacb6","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":"Oliveri, A, Naus, G J L, Storace, M & Heemels, W P M H 2011, Low-complexity approximations of PWA functions : a case study on adaptive cruise control. in Proceedings of the 2011 20th European Conference on Circuit Theory and Design (ECCTD), 29-31 August 2011, Linkoping, Sweden. Institute of Electrical and Electronics Engineers, Piscataway, pp. 694-697, European Conference on Circuit Theory and Design, ECCTD 2011, Linkoping, Sweden, 29/08/11. https://doi.org/10.1109/ECCTD.2011.6043632","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:731906","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=731906","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:iris.unige.it:11567/301972","is_oa":false,"landing_page_url":"https://hdl.handle.net/11567/301972","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:zenodo.org:3430757","is_oa":true,"landing_page_url":"https://zenodo.org/record/3430757","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencePaper"},{"id":"pmh:tue:oai:pure.tue.nl:publications/945119b1-b6d5-4ff9-bdc7-4f7bbd3cacb6","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/945119b1-b6d5-4ff9-bdc7-4f7bbd3cacb6","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 2011 20th European Conference on Circuit Theory and Design (ECCTD), 29-31 August 2011, Linkoping, Sweden, 694 - 697","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:3430757","is_oa":true,"landing_page_url":"https://zenodo.org/record/3430757","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencePaper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1511213320","https://openalex.org/W1560815788","https://openalex.org/W1993170675","https://openalex.org/W2042404299","https://openalex.org/W2100705270","https://openalex.org/W2111087336","https://openalex.org/W2117568889","https://openalex.org/W2129310458","https://openalex.org/W2140154822","https://openalex.org/W2158228663","https://openalex.org/W2159824857","https://openalex.org/W6630654670","https://openalex.org/W6633695767","https://openalex.org/W6679700194"],"related_works":["https://openalex.org/W4285388621","https://openalex.org/W2771706547","https://openalex.org/W1983059685","https://openalex.org/W1990079087","https://openalex.org/W1607043069","https://openalex.org/W2108009824","https://openalex.org/W2080896647","https://openalex.org/W2888635693","https://openalex.org/W2124643891","https://openalex.org/W2376693437"],"abstract_inverted_index":{"This":[0,50],"paper":[1],"applies":[2],"recently":[3],"developed":[4],"techniques":[5],"for":[6],"the":[7,60,65],"PieceWise-Affine":[8,47],"(PWA)":[9],"approximation":[10,51],"of":[11,34,59,67],"explicit":[12],"Model":[13],"Predictive":[14],"Control":[15,21],"(MPC)":[16],"to":[17,45],"an":[18],"Adaptive":[19],"Cruise":[20],"system.":[22],"The":[23],"optimal":[24],"MPC":[25,68],"law":[26],"is":[27],"approximated":[28],"by":[29],"using":[30],"a":[31,39,54],"particular":[32],"class":[33],"PWA":[35],"functions":[36],"defined":[37],"over":[38],"domain":[40],"partitioned":[41],"into":[42],"simplices,":[43],"referred":[44],"as":[46],"Simplicial":[48],"functions.":[49],"technique":[52],"allows":[53],"very":[55],"fast":[56],"circuit":[57],"implementation":[58],"control":[61],"function,":[62],"thereby":[63],"enabling":[64],"usage":[66],"in":[69],"embedded":[70],"systems":[71],"with":[72],"extremely":[73],"small":[74],"sampling":[75],"periods.":[76]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2016-06-24T00:00:00"}