{"id":"https://openalex.org/W3120588053","doi":"https://doi.org/10.1109/cdc42340.2020.9304249","title":"Optimal PI controller rejecting disturbance for ARZ traffic model","display_name":"Optimal PI controller rejecting disturbance for ARZ traffic model","publication_year":2020,"publication_date":"2020-12-14","ids":{"openalex":"https://openalex.org/W3120588053","doi":"https://doi.org/10.1109/cdc42340.2020.9304249","mag":"3120588053"},"language":"en","primary_location":{"id":"doi:10.1109/cdc42340.2020.9304249","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304249","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","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/A5057434011","display_name":"Lina Guan","orcid":"https://orcid.org/0000-0003-2178-0344"},"institutions":[{"id":"https://openalex.org/I4210124956","display_name":"Grenoble Images Parole Signal Automatique","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN","FR"],"is_corresponding":true,"raw_author_name":"Lina Guan","raw_affiliation_strings":["Faculty of Information Technology, Beijing University of Technology, Beijing, China","Beijing University of Technology","GIPSA - Infinite Dimensional Dynamics"],"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Beijing University of Technology","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"GIPSA - Infinite Dimensional Dynamics","institution_ids":["https://openalex.org/I4210124956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100715058","display_name":"Liguo Zhang","orcid":"https://orcid.org/0000-0002-2705-1399"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liguo Zhang","raw_affiliation_strings":["Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing, China","Beijing University of Technology"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Computational Intelligence and Intelligent Systems, Beijing, China","institution_ids":[]},{"raw_affiliation_string":"Beijing University of Technology","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083387069","display_name":"Christophe Prieur","orcid":"https://orcid.org/0000-0002-4456-2019"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210124956","display_name":"Grenoble Images Parole Signal Automatique","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Prieur","raw_affiliation_strings":["Univ. Grenoble Alpes, CNRS, Grenoble, France","GIPSA - Infinite Dimensional Dynamics"],"affiliations":[{"raw_affiliation_string":"Univ. Grenoble Alpes, CNRS, Grenoble, France","institution_ids":["https://openalex.org/I899635006","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"GIPSA - Infinite Dimensional Dynamics","institution_ids":["https://openalex.org/I4210124956"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057434011"],"corresponding_institution_ids":["https://openalex.org/I37796252","https://openalex.org/I4210124956"],"apc_list":null,"apc_paid":null,"fwci":0.1471,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.49051404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"5665","last_page":"5670"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9972000122070312,"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/T10524","display_name":"Traffic control and management","score":0.9972000122070312,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.994700014591217,"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/T11416","display_name":"Numerical methods for differential equations","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6707207560539246},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.479126900434494},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4759086072444916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4646316170692444},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4410642385482788},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43795332312583923},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.432107150554657},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3621557056903839},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2616926431655884},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20213833451271057},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15273064374923706},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07808223366737366}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6707207560539246},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.479126900434494},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4759086072444916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4646316170692444},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4410642385482788},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43795332312583923},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.432107150554657},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3621557056903839},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2616926431655884},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20213833451271057},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15273064374923706},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07808223366737366},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc42340.2020.9304249","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304249","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03192478v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03192478","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","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":"https://cdc2020.ieeecss.org/","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W16548326","https://openalex.org/W2029465969","https://openalex.org/W2040805915","https://openalex.org/W2130448123","https://openalex.org/W2140246545","https://openalex.org/W2151460005","https://openalex.org/W2791788938","https://openalex.org/W2902144114","https://openalex.org/W2928782170","https://openalex.org/W3047513975","https://openalex.org/W6600645789"],"related_works":["https://openalex.org/W2154204858","https://openalex.org/W3209622820","https://openalex.org/W2382250648","https://openalex.org/W2367363545","https://openalex.org/W2586383879","https://openalex.org/W2067895158","https://openalex.org/W4379507409","https://openalex.org/W2561874146","https://openalex.org/W2066331732","https://openalex.org/W2077468606"],"abstract_inverted_index":{"Traffic":[0],"control":[1,20,34,71],"of":[2,57,119,123,149,156],"congestion":[3],"regimes":[4],"is":[5,15,21,36,67,95,152],"considered":[6],"in":[7,48,161],"this":[8,86,150,164],"paper.":[9],"A":[10],"perturbed":[11],"distributed":[12],"parameter":[13],"model":[14,160],"used,":[16],"and":[17,43,79,107],"a":[18,115],"boundary":[19,56],"designed":[22],"to":[23,38,44,77,97,133],"reject":[24,40],"the":[25,41,46,55,58,64,70,81,89,99,117,124,131,134,157],"perturbations.":[26],"More":[27],"precisely":[28],"an":[29,120,141],"optimal":[30,82,165],"proportional-integral":[31],"(PI)":[32],"feedback":[33],"law":[35],"computed":[37,96,106],"maximally":[39],"disturbances,":[42],"stabilize":[45],"traffic":[47],"congested":[49],"regime.":[50],"The":[51,147],"disturbance":[52,65,100,132],"applies":[53],"at":[54],"linearized":[59],"Aw-RascleZhang":[60],"(ARZ)":[61],"model.":[62],"Therefore":[63],"operator":[66],"unbounded,":[68],"rendering":[69],"problem":[72,143],"very":[73],"challenging.":[74],"In":[75],"order":[76],"analyze":[78],"design":[80],"PI":[83,166],"controller":[84],"for":[85],"infinite-dimensional":[87],"system,":[88],"\u00a3":[90,125],"<sub":[91,126],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[92,127],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[93,128],"gain":[94],"estimate":[98],"rejection.":[101],"Numerically":[102],"tractable":[103],"conditions":[104],"are":[105],"written":[108],"with":[109,144,163],"linear":[110],"matrix":[111],"inequalities":[112],"(LMIs).":[113],"As":[114],"result,":[116],"estimation":[118],"upper":[121],"bound":[122],"gain,":[129],"from":[130],"controlled":[135],"output,":[136],"can":[137],"be":[138],"formulated":[139],"as":[140],"optimization":[142],"LMI":[145],"constraints.":[146],"validity":[148],"method":[151],"checked":[153],"on":[154],"simulations":[155],"nonlinear":[158],"ARZ":[159],"closed-loop":[162],"controller.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}