{"id":"https://openalex.org/W2039793507","doi":"https://doi.org/10.1109/acc.2012.6314917","title":"Optimal gain for the Super-Twisting differentiator in the presence of measurement noise","display_name":"Optimal gain for the Super-Twisting differentiator in the presence of measurement noise","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2039793507","doi":"https://doi.org/10.1109/acc.2012.6314917","mag":"2039793507"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2012.6314917","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6314917","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","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/A5073586828","display_name":"Marco Tulio Angulo","orcid":"https://orcid.org/0000-0002-9802-8567"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"M. T. Angulo","raw_affiliation_strings":["Facultad de Ingenier\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico","Facultad de Ingenier\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico (UNAM) , Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico","institution_ids":["https://openalex.org/I8961855"]},{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico (UNAM) , Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011888247","display_name":"Jaime A. Moreno","orcid":"https://orcid.org/0000-0002-2556-9784"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"J. A. Moreno","raw_affiliation_strings":["El\u00e9ctrica y Computaci\u00f3n, Instituto de Ingenier\u00eda, UNAM, Mexico","El\u00e9ctrica y Computaci\u00f3n, Institute de Ingenieria, UNAM, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"El\u00e9ctrica y Computaci\u00f3n, Instituto de Ingenier\u00eda, UNAM, Mexico","institution_ids":[]},{"raw_affiliation_string":"El\u00e9ctrica y Computaci\u00f3n, Institute de Ingenieria, UNAM, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032593897","display_name":"Leonid Fridman","orcid":"https://orcid.org/0000-0003-0208-3615"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"L. Fridman","raw_affiliation_strings":["Facultad de Ingenier\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico","Facultad de Ingenier\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico (UNAM) , Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico","institution_ids":["https://openalex.org/I8961855"]},{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico (UNAM) , Mexico","institution_ids":["https://openalex.org/I8961855"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I8961855"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"6154","last_page":"6159"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.9990000128746033,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9990000128746033,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9818000197410583,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9796000123023987,"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/differentiator","display_name":"Differentiator","score":0.9958204030990601},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6856701970100403},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5460583567619324},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5341213345527649},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.49967503547668457},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.46868470311164856},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45988142490386963},{"id":"https://openalex.org/keywords/high-gain-antenna","display_name":"High-gain antenna","score":0.45152443647384644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4235136806964874},{"id":"https://openalex.org/keywords/noise-measurement","display_name":"Noise measurement","score":0.4124799966812134},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3255919814109802},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.288049578666687},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2492780089378357},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16008809208869934},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.10792273283004761},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10232940316200256},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.0602564811706543}],"concepts":[{"id":"https://openalex.org/C12112733","wikidata":"https://www.wikidata.org/wiki/Q2659948","display_name":"Differentiator","level":3,"score":0.9958204030990601},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6856701970100403},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5460583567619324},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5341213345527649},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.49967503547668457},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.46868470311164856},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45988142490386963},{"id":"https://openalex.org/C61829901","wikidata":"https://www.wikidata.org/wiki/Q769152","display_name":"High-gain antenna","level":2,"score":0.45152443647384644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4235136806964874},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.4124799966812134},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3255919814109802},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.288049578666687},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2492780089378357},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16008809208869934},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.10792273283004761},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10232940316200256},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0602564811706543},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2012.6314917","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6314917","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W131097884","https://openalex.org/W1592648094","https://openalex.org/W2015162542","https://openalex.org/W2030959268","https://openalex.org/W2047538092","https://openalex.org/W2062563267","https://openalex.org/W2074773410","https://openalex.org/W2081975461","https://openalex.org/W2100884736","https://openalex.org/W2124662518","https://openalex.org/W2146334962","https://openalex.org/W2151946021","https://openalex.org/W2174338526","https://openalex.org/W4293078920","https://openalex.org/W6654175176"],"related_works":["https://openalex.org/W2371530940","https://openalex.org/W1560887869","https://openalex.org/W2109780951","https://openalex.org/W2029024449","https://openalex.org/W1641778210","https://openalex.org/W1994327371","https://openalex.org/W2064008010","https://openalex.org/W1967596626","https://openalex.org/W1508058509","https://openalex.org/W2135887162"],"abstract_inverted_index":{"A":[0,61],"method":[1,24],"to":[2],"compute":[3],"the":[4,14,27,34,37,42,51,55,65],"differentiation":[5,43],"error":[6],"in":[7,33],"presence":[8],"of":[9,16,30,41,54,67],"bounded":[10],"measurement":[11],"noise":[12],"for":[13,50],"family":[15,35],"Generalized":[17],"Super-Twisting":[18,57,71],"differentiators":[19,72],"is":[20,59,73],"presented.":[21,60,74],"The":[22],"proposed":[23],"allows":[25],"choosing":[26],"optimal":[28,52],"gain":[29,53],"each":[31],"differentiator":[32,58],"providing":[36],"smallest":[38],"ultimate":[39],"bound":[40],"error.":[44],"In":[45],"particular,":[46],"an":[47],"heuristic":[48],"formula":[49],"pure":[56],"numerical":[62],"analysis":[63],"comparing":[64],"performance":[66],"linear":[68],"High-Gain":[69],"and":[70]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
