{"id":"https://openalex.org/W2166385679","doi":"https://doi.org/10.1109/cdc.2007.4434118","title":"A Three-time-scale redesign for robust stabilization and performance recovery of nonlinear systems with input uncertainties","display_name":"A Three-time-scale redesign for robust stabilization and performance recovery of nonlinear systems with input uncertainties","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2166385679","doi":"https://doi.org/10.1109/cdc.2007.4434118","mag":"2166385679"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434118","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434118","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th 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/A5055360778","display_name":"Aranya Chakrabortty","orcid":"https://orcid.org/0000-0002-3474-8215"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Aranya Chakrabortty","raw_affiliation_strings":["Department of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA","institution_ids":["https://openalex.org/I165799507"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025743742","display_name":"Murat Arcak","orcid":"https://orcid.org/0000-0001-9060-4032"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Murat Arcak","raw_affiliation_strings":["Department of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA","institution_ids":["https://openalex.org/I165799507"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055360778"],"corresponding_institution_ids":["https://openalex.org/I165799507"],"apc_list":null,"apc_paid":null,"fwci":2.6128,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.91658087,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"3484","last_page":"3489"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9988999962806702,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9988999962806702,"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":0.9986000061035156,"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":0.9983000159263611,"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/control-theory","display_name":"Control theory (sociology)","score":0.7561720609664917},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6837059855461121},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5476719737052917},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5432161092758179},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5282145142555237},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5038794875144958},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.49874114990234375},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.47758960723876953},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4343520998954773},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3252842426300049},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.26119139790534973},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06743568181991577}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7561720609664917},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6837059855461121},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5476719737052917},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5432161092758179},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5282145142555237},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5038794875144958},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.49874114990234375},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.47758960723876953},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4343520998954773},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3252842426300049},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.26119139790534973},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06743568181991577},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4434118","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434118","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1758349354","https://openalex.org/W2042093287","https://openalex.org/W2090167557","https://openalex.org/W2090963365","https://openalex.org/W2102466515","https://openalex.org/W2124309051","https://openalex.org/W2130238423","https://openalex.org/W2143419185","https://openalex.org/W2154229703","https://openalex.org/W2160725977","https://openalex.org/W2164534012","https://openalex.org/W2177734441","https://openalex.org/W4229884753","https://openalex.org/W4241796298","https://openalex.org/W6637808587"],"related_works":["https://openalex.org/W2770593030","https://openalex.org/W3154990682","https://openalex.org/W4281727072","https://openalex.org/W4327639758","https://openalex.org/W2116787190","https://openalex.org/W1980376593","https://openalex.org/W2154304710","https://openalex.org/W2019676381","https://openalex.org/W1971902905","https://openalex.org/W2006371715"],"abstract_inverted_index":{"In":[0],"this":[1,49],"paper":[2],"we":[3,66],"propose":[4],"a":[5,14,41],"robust":[6],"redesign":[7],"technique":[8],"which":[9],"recovers":[10],"the":[11,19,33,37,45,54,69,72,81,85],"trajectories":[12,70],"of":[13,21,28,71,80],"nominal":[15,55,82],"control":[16],"design":[17,25],"in":[18],"presence":[20],"input":[22,38,56],"uncertainties.":[23],"We":[24],"two":[26],"sets":[27],"high":[29],"gain":[30],"filters":[31],"-":[32],"first":[34],"to":[35,47,51,53],"estimate":[36,50],"uncertainty":[39],"over":[40],"fast":[42],"time-scale,":[43],"and":[44],"second":[46],"force":[48],"converge":[52],"on":[57],"an":[58],"intermediate":[59],"time-":[60],"scale.":[61],"Using":[62],"singular":[63],"perturbation":[64],"theory":[65],"prove":[67],"that":[68],"resulting":[73],"three-time":[74],"scale":[75],"redesigned":[76],"system":[77,83],"approach":[78],"those":[79],"when":[84],"filter":[86],"gains":[87],"are":[88],"increased.":[89]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}