{"id":"https://openalex.org/W7117752491","doi":"https://doi.org/10.1109/tase.2025.3650090","title":"Online Learning Robust Control Design for a Class of Uncertain Nonlinear Systems","display_name":"Online Learning Robust Control Design for a Class of Uncertain Nonlinear Systems","publication_year":2025,"publication_date":"2025-12-31","ids":{"openalex":"https://openalex.org/W7117752491","doi":"https://doi.org/10.1109/tase.2025.3650090"},"language":null,"primary_location":{"id":"doi:10.1109/tase.2025.3650090","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3650090","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","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/A5121622404","display_name":"A. Banderchuk","orcid":null},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"A. Banderchuk","raw_affiliation_strings":["Post-Graduate Program in Automation and Systems Engineering, Universidade Federal de Santa Catarina, Florianópolis, Santa Catarina, Brazil"],"affiliations":[{"raw_affiliation_string":"Post-Graduate Program in Automation and Systems Engineering, Universidade Federal de Santa Catarina, Florianópolis, Santa Catarina, Brazil","institution_ids":["https://openalex.org/I4104125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5121638071","display_name":"J. P. Jordanou","orcid":null},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"J. P. Jordanou","raw_affiliation_strings":["Department of Automation and Systems Engineering,, Universidade Federal de Santa Catarina, Florianópolis, Santa Catarina, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Automation and Systems Engineering,, Universidade Federal de Santa Catarina, Florianópolis, Santa Catarina, Brazil","institution_ids":["https://openalex.org/I4104125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012031694","display_name":"Daniel Coutinho","orcid":"https://orcid.org/0000-0002-4249-1288"},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"D. Coutinho","raw_affiliation_strings":["Department of Automation and Systems Engineering,, Universidade Federal de Santa Catarina, Florianópolis, Santa Catarina, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Automation and Systems Engineering,, Universidade Federal de Santa Catarina, Florianópolis, Santa Catarina, Brazil","institution_ids":["https://openalex.org/I4104125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065625026","display_name":"Eduardo Camponogara","orcid":"https://orcid.org/0000-0002-0236-0689"},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"E. Camponogara","raw_affiliation_strings":["Department of Automation and Systems Engineering,, Universidade Federal de Santa Catarina, Florianópolis, Santa Catarina, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Automation and Systems Engineering,, Universidade Federal de Santa Catarina, Florianópolis, Santa Catarina, Brazil","institution_ids":["https://openalex.org/I4104125"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5121622404"],"corresponding_institution_ids":["https://openalex.org/I4104125"],"apc_list":null,"apc_paid":null,"fwci":2.6995,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.94116314,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"23","issue":null,"first_page":"2045","last_page":"2062"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.968999981880188,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.968999981880188,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.010599999688565731,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.003599999938160181,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.7592999935150146},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6603000164031982},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5885999798774719},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5698000192642212},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5494999885559082},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4577000141143799},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.44940000772476196},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4189999997615814}],"concepts":[{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.7592999935150146},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6603000164031982},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5885999798774719},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5698000192642212},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.5601999759674072},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5494999885559082},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5170999765396118},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4577000141143799},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.44940000772476196},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4189999997615814},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.4090999960899353},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.37470000982284546},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.3483000099658966},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.34130001068115234},{"id":"https://openalex.org/C38858127","wikidata":"https://www.wikidata.org/wiki/Q5441228","display_name":"Feed forward","level":2,"score":0.3041999936103821},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28769999742507935},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.28380000591278076},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.25870001316070557},{"id":"https://openalex.org/C139807058","wikidata":"https://www.wikidata.org/wiki/Q352374","display_name":"Adaptation (eye)","level":2,"score":0.2581000030040741},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.2515000104904175}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2025.3650090","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3650090","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7121548652648926,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W200858817","https://openalex.org/W1989312953","https://openalex.org/W1989855774","https://openalex.org/W1991512228","https://openalex.org/W2086194894","https://openalex.org/W2103268230","https://openalex.org/W2103442863","https://openalex.org/W2107878631","https://openalex.org/W2158773148","https://openalex.org/W2177933918","https://openalex.org/W2215281846","https://openalex.org/W2900806034","https://openalex.org/W2900995681","https://openalex.org/W2949676527","https://openalex.org/W2955394818","https://openalex.org/W3021053030","https://openalex.org/W3119715644","https://openalex.org/W3127275112","https://openalex.org/W3142744390","https://openalex.org/W3196290466","https://openalex.org/W3199525170","https://openalex.org/W3210839039","https://openalex.org/W3211577506","https://openalex.org/W3215534681","https://openalex.org/W4200181476","https://openalex.org/W4213028091","https://openalex.org/W4230278603","https://openalex.org/W4238586295","https://openalex.org/W4285108207","https://openalex.org/W4321021367","https://openalex.org/W4321366636","https://openalex.org/W4367016879","https://openalex.org/W4384789633","https://openalex.org/W4385859244","https://openalex.org/W4388191815","https://openalex.org/W4391020992","https://openalex.org/W4391242015","https://openalex.org/W4391969228","https://openalex.org/W4399205884","https://openalex.org/W4407212638"],"related_works":[],"abstract_inverted_index":{"Well-established":[0],"nonlinear":[1,86],"control":[2,17,24,65],"methods":[3],"often":[4],"rely":[5],"on":[6],"mathematical":[7],"models":[8],"that":[9,67,137],"can":[10],"be":[11],"imprecise":[12],"or":[13,111],"uncertain.":[14],"Classical":[15],"robust":[16,70,92,147,218],"techniques":[18],"address":[19],"this":[20,58,60,134],"by":[21,145],"designing":[22],"conservative":[23],"laws,":[25],"which":[26],"inherently":[27],"limit":[28],"performance.":[29,129,161],"As":[30],"modern":[31],"applications":[32],"demand":[33],"higher":[34],"performance,":[35],"learningbased":[36],"controllers":[37],"have":[38],"emerged":[39],"as":[40],"a":[41,63,69,82,143,208],"promising":[42],"alternative;":[43],"however,":[44],"they":[45],"frequently":[46],"lack":[47],"stability":[48,140],"guarantees,":[49],"rendering":[50],"them":[51],"unsuitable":[52],"for":[53,121],"safety-critical":[54],"systems.":[55],"To":[56],"bridge":[57],"gap,":[59],"paper":[61],"introduces":[62],"novel":[64],"strategy":[66],"integrates":[68],"controller":[71,93,219],"with":[72],"an":[73],"Echo":[74],"State":[75],"Network":[76],"(ESN)-based":[77],"adaptive":[78],"law":[79],"to":[80,97,119,185,194,202,215],"stabilize":[81],"class":[83],"of":[84,102,107,133,150,211],"uncertain":[85],"systems":[87],"under":[88],"persistent":[89],"disturbances.":[90,112],"The":[91],"is":[94,116,136,141],"first":[95],"designed":[96],"ensure":[98],"Input-to-State":[99],"Stability":[100],"(ISS)":[101],"the":[103,108,114,122,126,138,146,151,156,173,179,199,217],"closed-loop":[104,139],"system,":[105],"irrespective":[106],"ESN\u2019s":[109,152],"actions":[110],"Subsequently,":[113],"ESN":[115],"trained":[117],"online":[118,157],"compensate":[120],"disturbances":[123],"and":[124,189,204],"improve":[125],"system\u2019s":[127],"output":[128],"A":[130],"key":[131],"feature":[132],"architecture":[135],"guaranteed":[142],"priori":[144],"controller,":[148],"regardless":[149],"learning":[153],"process,":[154],"while":[155],"adaptation":[158],"significantly":[159],"enhances":[160],"This":[162],"framework":[163],"also":[164],"maintains":[165],"relatively":[166],"low":[167],"computational":[168],"complexity.":[169],"Numerical":[170],"simulations":[171],"demonstrate":[172],"strategy\u2019s":[174],"effectiveness:":[175],"in":[176,190],"one":[177],"example,":[178],"average":[180],"performance":[181],"improves":[182],"from":[183,192],"60.6%":[184],"92.7%":[186],"over":[187],"time,":[188],"another,":[191],"22.8%":[193],"92.3%.":[195],"These":[196],"results":[197],"confirm":[198],"controller\u2019s":[200],"ability":[201],"learn":[203],"adapt":[205],"online,":[206],"showing":[207],"significant":[209],"attenuation":[210],"disturbance":[212],"effects":[213],"compared":[214],"using":[216],"alone.":[220]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-12-31T00:00:00"}