{"id":"https://openalex.org/W4407950261","doi":"https://doi.org/10.1109/cdc56724.2024.10886058","title":"Robust, Nonparametric Backstepping Control over Reproducing Kernel Hilbert Spaces","display_name":"Robust, Nonparametric Backstepping Control over Reproducing Kernel Hilbert Spaces","publication_year":2024,"publication_date":"2024-12-16","ids":{"openalex":"https://openalex.org/W4407950261","doi":"https://doi.org/10.1109/cdc56724.2024.10886058"},"language":"en","primary_location":{"id":"doi:10.1109/cdc56724.2024.10886058","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886058","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5037610674","display_name":"Haoran Wang","orcid":"https://orcid.org/0000-0001-8648-3311"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haoran Wang","raw_affiliation_strings":["Virginia Tech,Department of Mechanical Engineering,Blacksburg,VA,USA,24061"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Virginia Tech,Department of Mechanical Engineering,Blacksburg,VA,USA,24061","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071042672","display_name":"Brian Scurlock","orcid":null},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brian Scurlock","raw_affiliation_strings":["Virginia Tech,Department of Mechanical Engineering,Blacksburg,VA,USA,24061"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Virginia Tech,Department of Mechanical Engineering,Blacksburg,VA,USA,24061","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023864855","display_name":"Andrew J. Kurdila","orcid":"https://orcid.org/0000-0002-9042-5146"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew Kurdila","raw_affiliation_strings":["Virginia Tech,Department of Mechanical Engineering,Blacksburg,VA,USA,24061"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Virginia Tech,Department of Mechanical Engineering,Blacksburg,VA,USA,24061","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043808538","display_name":"Andrea L\u2019Afflitto","orcid":"https://orcid.org/0000-0001-5704-4088"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrea L\u2019Afflitto","raw_affiliation_strings":["Virginia Tech,Grado Department of Industrial and Systems Engineering,Blacksburg,VA,USA,24061"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Virginia Tech,Grado Department of Industrial and Systems Engineering,Blacksburg,VA,USA,24061","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I859038795"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"7381","last_page":"7386"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.991100013256073,"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":0.991100013256073,"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":0.9894999861717224,"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":0.9514999985694885,"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/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.7628545761108398},{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.6573913097381592},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.5869661569595337},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5768434405326843},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5174061059951782},{"id":"https://openalex.org/keywords/representer-theorem","display_name":"Representer theorem","score":0.45191699266433716},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4231451451778412},{"id":"https://openalex.org/keywords/kernel-principal-component-analysis","display_name":"Kernel principal component analysis","score":0.4113914370536804},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.34030061960220337},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.3298197388648987},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2873319387435913},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.19878271222114563},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1944541335105896},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.16660720109939575},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.08780297636985779},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.04759743809700012}],"concepts":[{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.7628545761108398},{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.6573913097381592},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.5869661569595337},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5768434405326843},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5174061059951782},{"id":"https://openalex.org/C172623408","wikidata":"https://www.wikidata.org/wiki/Q7314263","display_name":"Representer theorem","level":5,"score":0.45191699266433716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4231451451778412},{"id":"https://openalex.org/C182335926","wikidata":"https://www.wikidata.org/wiki/Q17093020","display_name":"Kernel principal component analysis","level":4,"score":0.4113914370536804},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.34030061960220337},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.3298197388648987},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2873319387435913},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.19878271222114563},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1944541335105896},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.16660720109939575},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.08780297636985779},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.04759743809700012}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc56724.2024.10886058","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886058","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W83782864","https://openalex.org/W130083205","https://openalex.org/W1486164486","https://openalex.org/W1559107966","https://openalex.org/W1868559974","https://openalex.org/W2035692149","https://openalex.org/W2085330455","https://openalex.org/W2129798654","https://openalex.org/W2313806658","https://openalex.org/W2398886555","https://openalex.org/W2475498549","https://openalex.org/W2728580971","https://openalex.org/W2761385663","https://openalex.org/W2807198100","https://openalex.org/W2995486512","https://openalex.org/W3083291604","https://openalex.org/W3186624155","https://openalex.org/W4287866975","https://openalex.org/W4391019968","https://openalex.org/W6681414149","https://openalex.org/W6785022064","https://openalex.org/W6807857503","https://openalex.org/W6879523287"],"related_works":["https://openalex.org/W1994655188","https://openalex.org/W2392804273","https://openalex.org/W2624872425","https://openalex.org/W2964156564","https://openalex.org/W2003659172","https://openalex.org/W4241777949","https://openalex.org/W4296530530","https://openalex.org/W2146853797","https://openalex.org/W3006757452","https://openalex.org/W2516631774"],"abstract_inverted_index":{"This":[0],"paper":[1],"derives":[2],"robust,":[3],"nonparametric":[4],"back-stepping":[5],"controllers":[6,41,56,109],"for":[7,106],"nonlinear":[8],"systems":[9],"that":[10,89],"include":[11],"functional":[12,96],"uncertainties":[13],"known":[14],"to":[15,29,67,73],"lie":[16],"in":[17,44],"a":[18,60,91],"reproducing":[19],"kernel":[20,49],"Hilbert":[21],"space":[22],"(RKHS)":[23],"of":[24,46,77,94,103],"vector-valued":[25],"functions.":[26],"In":[27],"contrast":[28],"the":[30,39,47,51,54,80,84,95,107],"classical":[31],"backstepping":[32],"control":[33],"architecture,":[34],"including":[35],"its":[36],"robust":[37],"formulations,":[38],"proposed":[40,55,81,108],"are":[42,110],"defined":[43],"terms":[45],"operator":[48],"underlying":[50],"RKHS.":[52],"Hence,":[53],"do":[57],"not":[58],"require":[59],"regressor":[61],"vector":[62],"or":[63],"other":[64],"finite-dimensional":[65],"parameterizations":[66],"capture":[68],"uncertainties,":[69],"and":[70,101],"guarantee":[71],"robustness":[72],"substantially":[74],"larger":[75],"classes":[76],"uncertainties.":[78],"Furthermore,":[79],"approach":[82],"relieves":[83],"user":[85],"from":[86],"seeking":[87],"bases":[88],"provide":[90],"parametric":[92],"representation":[93],"uncertainty.":[97],"The":[98],"qualitative":[99],"behavior":[100],"validation":[102],"performance":[104],"guarantees":[105],"shown":[111],"through":[112],"numerical":[113],"examples.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}