{"id":"https://openalex.org/W2047735251","doi":"https://doi.org/10.1109/tac.2013.2254638","title":"Extremum Seeking for Constrained Inputs","display_name":"Extremum Seeking for Constrained Inputs","publication_year":2013,"publication_date":"2013-03-26","ids":{"openalex":"https://openalex.org/W2047735251","doi":"https://doi.org/10.1109/tac.2013.2254638","mag":"2047735251"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2013.2254638","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2254638","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/A5078570390","display_name":"Ying Tan","orcid":"https://orcid.org/0000-0001-8495-0246"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ying Tan","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, University of Melbourne, VIC, Australia","Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, University of Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100360825","display_name":"Yuping Li","orcid":"https://orcid.org/0000-0003-2490-0436"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Yuping Li","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, University of Melbourne, VIC, Australia","Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, University of Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017329457","display_name":"Iven Mareels","orcid":"https://orcid.org/0000-0002-9832-5959"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Iven M. Y. Mareels","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, University of Melbourne, VIC, Australia","Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, University of Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I165779595"],"apc_list":null,"apc_paid":null,"fwci":7.5262,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.97065116,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"58","issue":"9","first_page":"2405","last_page":"2410"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","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/T14083","display_name":"Extremum Seeking Control Systems","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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9700999855995178,"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/T11663","display_name":"Viral Infectious Diseases and Gene Expression in Insects","score":0.9138000011444092,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7454438209533691},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.6519922018051147},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.6424160003662109},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6137067079544067},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5532811284065247},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5179007053375244},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5022592544555664},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.48587387800216675},{"id":"https://openalex.org/keywords/double-integrator","display_name":"Double integrator","score":0.44877728819847107},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4312134087085724},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4214867353439331},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.41101667284965515},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4082288444042206},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.337765634059906},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06968674063682556}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7454438209533691},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.6519922018051147},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.6424160003662109},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6137067079544067},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5532811284065247},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5179007053375244},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5022592544555664},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.48587387800216675},{"id":"https://openalex.org/C2779323837","wikidata":"https://www.wikidata.org/wiki/Q5300045","display_name":"Double integrator","level":3,"score":0.44877728819847107},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4312134087085724},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4214867353439331},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.41101667284965515},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4082288444042206},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.337765634059906},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06968674063682556},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2013.2254638","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2254638","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":[{"score":0.5,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1591875227","https://openalex.org/W1982928656","https://openalex.org/W1995682754","https://openalex.org/W2000957563","https://openalex.org/W2001025411","https://openalex.org/W2030691645","https://openalex.org/W2047626070","https://openalex.org/W2052802820","https://openalex.org/W2078609652","https://openalex.org/W2095062552","https://openalex.org/W2164640872","https://openalex.org/W2166454748","https://openalex.org/W2283952362","https://openalex.org/W2292335382","https://openalex.org/W4293775970","https://openalex.org/W4300443332","https://openalex.org/W4300661070","https://openalex.org/W4302386373","https://openalex.org/W6663539612"],"related_works":["https://openalex.org/W2080488015","https://openalex.org/W3011480163","https://openalex.org/W2897121470","https://openalex.org/W2347533678","https://openalex.org/W4248598780","https://openalex.org/W4244659545","https://openalex.org/W2116395142","https://openalex.org/W2369204337","https://openalex.org/W2507282821","https://openalex.org/W2883723259"],"abstract_inverted_index":{"Extremum":[0],"seeking":[1],"control":[2,7,33],"(ESC)":[3],"is":[4,29,36,51,68,82,97,109,145,169],"an":[5,11,14,34,126,162],"adaptive":[6,32],"scheme":[8],"that":[9,42,53,147,154],"locates":[10],"extremum":[12],"of":[13,21,138,173],"input-output":[15],"map,":[16],"without":[17],"any":[18,156],"explicit":[19],"knowledge":[20],"this":[22,48,71],"map":[23],"apart":[24],"from":[25],"its":[26],"existence.":[27],"As":[28,73],"typical":[30],"in":[31,104,133,141],"integrator":[35],"used":[37,110,131],"to":[38,47,70,84,87,111,118,135,181],"drive":[39],"the":[40,54,64,113,120,174,183],"parameters":[41,56],"are":[43,94,150,179],"being":[44],"adapted.":[45],"Due":[46],"integrator,":[49],"it":[50,81],"possible":[52],"adapted":[55],"wander":[57],"outside":[58],"their":[59],"physically":[60],"relevant":[61],"domain":[62],"as":[63,116],"underlying":[65],"adaptation":[66],"technique":[67,124],"blind":[69],"constraint.":[72],"these":[74],"constraints":[75],"may":[76],"represent":[77],"realistic":[78],"operational":[79],"limits":[80],"important":[83],"design":[85],"ESC":[86,92,165],"respect":[88],"them.":[89],"Two":[90],"such":[91],"schemes":[93],"proposed.":[95],"One":[96],"based":[98,158],"on":[99],"a":[100,129,142,170],"constrained":[101],"optimization":[102],"approach":[103],"which":[105],"some":[106],"penalty":[107],"function":[108],"adapt":[112],"search":[114],"so":[115],"not":[117],"violate":[119],"constraints.":[121],"The":[122],"other":[123],"uses":[125],"anti-windup":[127,164],"scheme,":[128],"widely":[130],"mechanism":[132],"engineering":[134],"prevent":[136],"windup":[137],"integral":[139],"action":[140],"controller.":[143],"It":[144],"demonstrated":[146],"both":[148],"methods":[149],"essentially":[151],"equivalent.":[152],"In":[153],"for":[155],"penalty-function":[157,175],"ESC,":[159],"there":[160],"exists":[161],"equivalent":[163],"whose":[166],"phase":[167],"portrait":[168],"global":[171],"approximate":[172],"ESC.":[176],"Some":[177],"simulations":[178],"presented":[180],"illustrate":[182],"main":[184],"results.":[185]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}