{"id":"https://openalex.org/W1519315265","doi":"https://doi.org/10.1109/cdc.2005.1582942","title":"A Robust Nonlinear Controller with Application to a Magnetic Bearing System","display_name":"A Robust Nonlinear Controller with Application to a Magnetic Bearing System","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W1519315265","doi":"https://doi.org/10.1109/cdc.2005.1582942","mag":"1519315265"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1582942","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582942","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","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/A5078896244","display_name":"A. Franco","orcid":null},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210136613","display_name":"Laboratoire des syst\u00e8mes et applications des technologies de l'information et de l'\u00e9nergie","ror":"https://ror.org/03vam5b06","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I124158823","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210134562","https://openalex.org/I4210136613","https://openalex.org/I4210142324","https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A.L. Driemeyer Franco","raw_affiliation_strings":["DAS-CTC-UFSC, Florianopolis, Brazil","SATIE UMR 8029 CNRS ENS Cachan, Cachan, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DAS-CTC-UFSC, Florianopolis, Brazil","institution_ids":[]},{"raw_affiliation_string":"SATIE UMR 8029 CNRS ENS Cachan, Cachan, France","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I4210136613","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042227790","display_name":"Henri Bourl\u00e8s","orcid":"https://orcid.org/0000-0003-4069-3377"},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210136613","display_name":"Laboratoire des syst\u00e8mes et applications des technologies de l'information et de l'\u00e9nergie","ror":"https://ror.org/03vam5b06","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I124158823","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210134562","https://openalex.org/I4210136613","https://openalex.org/I4210142324","https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"H. Bourles","raw_affiliation_strings":["SATIE UMR 8029 CNRS ENS Cachan, Cachan, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SATIE UMR 8029 CNRS ENS Cachan, Cachan, France","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I4210136613","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078542168","display_name":"Edson Roberto De Pieri","orcid":"https://orcid.org/0000-0002-3787-7549"},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210136613","display_name":"Laboratoire des syst\u00e8mes et applications des technologies de l'information et de l'\u00e9nergie","ror":"https://ror.org/03vam5b06","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I124158823","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210134562","https://openalex.org/I4210136613","https://openalex.org/I4210142324","https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"E.R. De Pieri","raw_affiliation_strings":["DAS-CTC-UFSC, Florianopolis, Brazil","SATIE UMR 8029 CNRS ENS Cachan, Cachan, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DAS-CTC-UFSC, Florianopolis, Brazil","institution_ids":[]},{"raw_affiliation_string":"SATIE UMR 8029 CNRS ENS Cachan, Cachan, France","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I4210136613","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9181,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.77631424,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"4927","last_page":"4932"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9998000264167786,"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/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9998000264167786,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9983999729156494,"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/T12772","display_name":"Control and Stability of Dynamical 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"}}],"keywords":[{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.8055568933486938},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8051806688308716},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.7532913684844971},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7420812249183655},{"id":"https://openalex.org/keywords/feedback-linearization","display_name":"Feedback linearization","score":0.6975076794624329},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.6312153935432434},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5501681566238403},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.49045345187187195},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4634968936443329},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.4138911962509155},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3790813684463501},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36944037675857544},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.23610281944274902},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13488289713859558},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1109214723110199},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06405264139175415},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05567222833633423}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.8055568933486938},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8051806688308716},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.7532913684844971},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7420812249183655},{"id":"https://openalex.org/C85736874","wikidata":"https://www.wikidata.org/wiki/Q672139","display_name":"Feedback linearization","level":3,"score":0.6975076794624329},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.6312153935432434},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5501681566238403},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.49045345187187195},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4634968936443329},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.4138911962509155},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3790813684463501},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36944037675857544},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.23610281944274902},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13488289713859558},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1109214723110199},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06405264139175415},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05567222833633423},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2005.1582942","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582942","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.469.8339","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.469.8339","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.nt.ntnu.no/users/skoge/prost/proceedings/cdc-ecc05/pdffiles/papers/0481.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1499219562","https://openalex.org/W1868559974","https://openalex.org/W1887006513","https://openalex.org/W1887431197","https://openalex.org/W2023592020","https://openalex.org/W2055561145","https://openalex.org/W2081760916","https://openalex.org/W2102521758","https://openalex.org/W2125525186","https://openalex.org/W2135805326","https://openalex.org/W2261746064","https://openalex.org/W3195133498"],"related_works":["https://openalex.org/W2349527210","https://openalex.org/W1998462347","https://openalex.org/W1836713364","https://openalex.org/W2141603307","https://openalex.org/W2899783744","https://openalex.org/W2964841342","https://openalex.org/W2131265573","https://openalex.org/W2381676799","https://openalex.org/W2912982761","https://openalex.org/W1591566337"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,8,24,29,42,56],"robust":[4,30,38,83],"nonlinear":[5,9,53,66],"controller":[6,18,67],"for":[7],"system":[10,44,54],"subject":[11],"to":[12,46,88],"model":[13],"uncertainties":[14],"is":[15,68,92],"proposed.":[16],"This":[17],"consists":[19],"in":[20],"the":[21,47,51,63,82,89],"association":[22],"of":[23,50,62,81],"\"robust":[25],"feedback":[26,39,84],"linearization\"":[27],"with":[28,86],"linear":[31,43,48],"H":[32],"<inf":[33],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[34],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</inf>":[35],"controller.":[36],"The":[37,60,79],"linearization":[40,85],"yields":[41],"equal":[45],"approximation":[49],"original":[52],"around":[55],"nominal":[57],"operating":[58],"point.":[59],"robustness":[61],"resulting":[64],"overall":[65],"proved":[69],"by":[70],"theoretical":[71],"arguments":[72],"and":[73],"illustrated":[74],"through":[75],"an":[76],"application":[77],"example.":[78],"advantage":[80],"respect":[87],"classical":[90],"one":[91],"emphasized.":[93]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}