{"id":"https://openalex.org/W1559678210","doi":"https://doi.org/10.23919/ecc.2003.7084963","title":"A new way for robustness analysis of nonlinear control systems: Application to a magnetic suspension device","display_name":"A new way for robustness analysis of nonlinear control systems: Application to a magnetic suspension device","publication_year":2003,"publication_date":"2003-09-01","ids":{"openalex":"https://openalex.org/W1559678210","doi":"https://doi.org/10.23919/ecc.2003.7084963","mag":"1559678210"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2003.7084963","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2003.7084963","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 European Control Conference (ECC)","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/A5028092848","display_name":"A. Henni","orcid":null},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Henni","raw_affiliation_strings":["Supelec, Plateau de Moulon, Gif-sur-Yvette, France","SUPELEC, Plateau de Moulon, 91192, Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Supelec, Plateau de Moulon, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"SUPELEC, Plateau de Moulon, 91192, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108191491","display_name":"Houria Siguerdidjane","orcid":null},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"H. Siguerdidjane","raw_affiliation_strings":["Supelec, Plateau de Moulon, Gif-sur-Yvette, France","SUPELEC, Plateau de Moulon, 91192, Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Supelec, Plateau de Moulon, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"SUPELEC, Plateau de Moulon, 91192, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I102475099"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05981735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"252","last_page":"257"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain 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"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain 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":0.9966999888420105,"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":0.9940999746322632,"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":0.7453869581222534},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7281025052070618},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6855291724205017},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5982287526130676},{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.5722830295562744},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.566616952419281},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44381439685821533},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.43097788095474243},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.424194872379303},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3995192348957062},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36569270491600037},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10877072811126709},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.0977722704410553},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06879034638404846},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06334713101387024},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.05777633190155029}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7453869581222534},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7281025052070618},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6855291724205017},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5982287526130676},{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.5722830295562744},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.566616952419281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44381439685821533},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.43097788095474243},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.424194872379303},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3995192348957062},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36569270491600037},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10877072811126709},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.0977722704410553},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06879034638404846},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06334713101387024},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.05777633190155029},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/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:10.23919/ecc.2003.7084963","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2003.7084963","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03967493v1","is_oa":false,"landing_page_url":"https://centralesupelec.hal.science/hal-03967493","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2003 European Control Conference (ECC), Sep 2003, Cambridge, United Kingdom. pp.252-257, &#x27E8;10.23919/ECC.2003.7084963&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1550867153","https://openalex.org/W1580567622","https://openalex.org/W1756158774","https://openalex.org/W1972546746","https://openalex.org/W2090167557","https://openalex.org/W2109640889","https://openalex.org/W2114758274","https://openalex.org/W2117175541","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2771027241","https://openalex.org/W1765905465","https://openalex.org/W2793080664","https://openalex.org/W2186140227","https://openalex.org/W2534185822","https://openalex.org/W2132535444","https://openalex.org/W2367651125","https://openalex.org/W2387936656","https://openalex.org/W2063297487","https://openalex.org/W2567073787"],"abstract_inverted_index":{"The":[0],"stability":[1,51,64],"robustness":[2,65],"analysis":[3],"for":[4,62],"a":[5,59,102],"class":[6],"of":[7,69,82,100],"nonlinear":[8,91],"systems":[9],"with":[10,97,106],"bounded":[11,107],"structured":[12,108],"uncertainties":[13],"is":[14,42,46,57],"characterized":[15],"by":[16],"Nonlinear":[17],"Matrix":[18],"Inequalities":[19],"(NLMI).":[20],"By":[21],"introducing":[22],"scaling":[23],"to":[24,36,95,123],"reduce":[25],"conservatism":[26],"arising":[27],"from":[28],"the":[29,32,63,71,80,90,98],"uncertainty":[30],"structure,":[31],"problem":[33,72,99],"turns":[34],"out":[35],"be":[37,124],"still":[38],"convex.":[39],"However,":[40],"it":[41,45,56,78],"shown":[43,122],"that":[44],"as":[47,49,112,114],"hard":[48],"Lyapunov":[50,83],"analysis.":[52,66],"In":[53],"this":[54],"paper,":[55],"proposed":[58],"new":[60],"way":[61],"It":[67],"consists":[68],"splitting":[70],"into":[73],"two":[74],"steps":[75],"and":[76,126],"treating":[77],"on":[79],"basis":[81],"designs.":[84],"As":[85],"application,":[86],"we":[87],"have":[88,117],"applied":[89],"backstepping":[92],"based":[93],"approach":[94],"deal":[96],"stabilizing":[101],"magnetic":[103],"suspension":[104],"system":[105],"uncertainties.":[109],"Numerical":[110],"simulations":[111],"well":[113],"experimental":[115],"results":[116],"been":[118],"performed,":[119],"they":[120],"are":[121,127],"satisfactory":[125],"in":[128],"concordance.":[129]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
