{"id":"https://openalex.org/W2022137574","doi":"https://doi.org/10.1109/larc.2011.6086834","title":"An equivalent control based second order sliding mode observer using robust differentiators","display_name":"An equivalent control based second order sliding mode observer using robust differentiators","publication_year":2011,"publication_date":"2011-10-01","ids":{"openalex":"https://openalex.org/W2022137574","doi":"https://doi.org/10.1109/larc.2011.6086834","mag":"2022137574"},"language":"en","primary_location":{"id":"doi:10.1109/larc.2011.6086834","is_oa":false,"landing_page_url":"https://doi.org/10.1109/larc.2011.6086834","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IX Latin American Robotics Symposium and IEEE Colombian Conference on Automatic Control, 2011 IEEE","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/A5052554617","display_name":"Juan Diego S\u00e1nchez\u2010Torres","orcid":"https://orcid.org/0000-0001-6516-707X"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Juan Diego Sanchez-Torres","raw_affiliation_strings":["Department of Electrical Engineering and Computer Computer Science, Automatic Control Laboratory, Unidad Guadalajara, CINVESTAV, Mexico","Department of Electrical Engineering and Computer, Computer Science, Automatic Control Laboratory., CINVESTAV Unidad Guadalajara"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Computer Science, Automatic Control Laboratory, Unidad Guadalajara, CINVESTAV, Mexico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer, Computer Science, Automatic Control Laboratory., CINVESTAV Unidad Guadalajara","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083196859","display_name":"Alexander G. Loukianov","orcid":"https://orcid.org/0000-0001-5708-803X"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Alexander G. Loukianov","raw_affiliation_strings":["Department of Electrical Engineering and Computer Computer Science, Automatic Control Laboratory, Unidad Guadalajara, CINVESTAV, Mexico","Department of Electrical Engineering and Computer, Computer Science, Automatic Control Laboratory., CINVESTAV Unidad Guadalajara"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Computer Science, Automatic Control Laboratory, Unidad Guadalajara, CINVESTAV, Mexico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer, Computer Science, Automatic Control Laboratory., CINVESTAV Unidad Guadalajara","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085143247","display_name":"Juli\u00e1n Pati\u00f1o","orcid":"https://orcid.org/0000-0001-8914-2838"},"institutions":[{"id":"https://openalex.org/I36243813","display_name":"Universidad Nacional de Colombia","ror":"https://ror.org/059yx9a68","country_code":"CO","type":"education","lineage":["https://openalex.org/I36243813"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Julian Alberto Patino Murillo","raw_affiliation_strings":["Escuela de Ingenier\u00eda El\u00e9ctrica y Mec\u00e1nica, Facultad de Minas, Universidad Nacional de Colombia Sede Medell\u00edn, Medellin, Antioquia, Colombia","Universidad Nacional de Colombia, Sede Medell\u00edn, Escuela de Ingeniena El\u00e9ctrica y Mec\u00e1nica, Facultad de Minas, Cr. 80 No. 65 - 223, Medell\u00edn, Antioquia, Colombia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Escuela de Ingenier\u00eda El\u00e9ctrica y Mec\u00e1nica, Facultad de Minas, Universidad Nacional de Colombia Sede Medell\u00edn, Medellin, Antioquia, Colombia","institution_ids":["https://openalex.org/I36243813"]},{"raw_affiliation_string":"Universidad Nacional de Colombia, Sede Medell\u00edn, Escuela de Ingeniena El\u00e9ctrica y Mec\u00e1nica, Facultad de Minas, Cr. 80 No. 65 - 223, Medell\u00edn, Antioquia, Colombia","institution_ids":["https://openalex.org/I36243813"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038097594","display_name":"Bertulfo Giraldo","orcid":null},"institutions":[{"id":"https://openalex.org/I36243813","display_name":"Universidad Nacional de Colombia","ror":"https://ror.org/059yx9a68","country_code":"CO","type":"education","lineage":["https://openalex.org/I36243813"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Bertulfo Giraldo","raw_affiliation_strings":["Escuela de Ingenier\u00eda El\u00e9ctrica y Mec\u00e1nica, Facultad de Minas, Universidad Nacional de Colombia Sede Medell\u00edn, Medellin, Antioquia, Colombia","Universidad Nacional de Colombia, Sede Medell\u00edn, Escuela de Ingeniena El\u00e9ctrica y Mec\u00e1nica, Facultad de Minas, Cr. 80 No. 65 - 223, Medell\u00edn, Antioquia, Colombia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Escuela de Ingenier\u00eda El\u00e9ctrica y Mec\u00e1nica, Facultad de Minas, Universidad Nacional de Colombia Sede Medell\u00edn, Medellin, Antioquia, Colombia","institution_ids":["https://openalex.org/I36243813"]},{"raw_affiliation_string":"Universidad Nacional de Colombia, Sede Medell\u00edn, Escuela de Ingeniena El\u00e9ctrica y Mec\u00e1nica, Facultad de Minas, Cr. 80 No. 65 - 223, Medell\u00edn, Antioquia, Colombia","institution_ids":["https://openalex.org/I36243813"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108518063","display_name":"H\u00e9ctor Botero","orcid":null},"institutions":[{"id":"https://openalex.org/I36243813","display_name":"Universidad Nacional de Colombia","ror":"https://ror.org/059yx9a68","country_code":"CO","type":"education","lineage":["https://openalex.org/I36243813"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Hector Botero","raw_affiliation_strings":["Escuela de Ingenier\u00eda El\u00e9ctrica y Mec\u00e1nica, Facultad de Minas, Universidad Nacional de Colombia Sede Medell\u00edn, Medellin, Antioquia, Colombia","Universidad Nacional de Colombia, Sede Medell\u00edn, Escuela de Ingeniena El\u00e9ctrica y Mec\u00e1nica, Facultad de Minas, Cr. 80 No. 65 - 223, Medell\u00edn, Antioquia, Colombia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Escuela de Ingenier\u00eda El\u00e9ctrica y Mec\u00e1nica, Facultad de Minas, Universidad Nacional de Colombia Sede Medell\u00edn, Medellin, Antioquia, Colombia","institution_ids":["https://openalex.org/I36243813"]},{"raw_affiliation_string":"Universidad Nacional de Colombia, Sede Medell\u00edn, Escuela de Ingeniena El\u00e9ctrica y Mec\u00e1nica, Facultad de Minas, Cr. 80 No. 65 - 223, Medell\u00edn, Antioquia, Colombia","institution_ids":["https://openalex.org/I36243813"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.08490447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"36","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9987000226974487,"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/T10244","display_name":"Chaos control and synchronization","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/differentiator","display_name":"Differentiator","score":0.8552578687667847},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8220285177230835},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.7761784195899963},{"id":"https://openalex.org/keywords/state-observer","display_name":"State observer","score":0.6922203302383423},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5701345205307007},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.5248998403549194},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5046089887619019},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.4834178686141968},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.44149333238601685},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.43793970346450806},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35493969917297363},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.33539336919784546},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2211063802242279},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.20175793766975403},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1874132752418518},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.07733508944511414},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07468956708908081}],"concepts":[{"id":"https://openalex.org/C12112733","wikidata":"https://www.wikidata.org/wiki/Q2659948","display_name":"Differentiator","level":3,"score":0.8552578687667847},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8220285177230835},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.7761784195899963},{"id":"https://openalex.org/C3031470","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State observer","level":3,"score":0.6922203302383423},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5701345205307007},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.5248998403549194},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5046089887619019},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.4834178686141968},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.44149333238601685},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.43793970346450806},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35493969917297363},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.33539336919784546},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2211063802242279},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.20175793766975403},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1874132752418518},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.07733508944511414},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07468956708908081},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/larc.2011.6086834","is_oa":false,"landing_page_url":"https://doi.org/10.1109/larc.2011.6086834","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IX Latin American Robotics Symposium and IEEE Colombian Conference on Automatic Control, 2011 IEEE","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":28,"referenced_works":["https://openalex.org/W1534288204","https://openalex.org/W1581952967","https://openalex.org/W1774556098","https://openalex.org/W1872203625","https://openalex.org/W1887006513","https://openalex.org/W1925402558","https://openalex.org/W1967008192","https://openalex.org/W1968666337","https://openalex.org/W1982617281","https://openalex.org/W1999558720","https://openalex.org/W2020883941","https://openalex.org/W2030959268","https://openalex.org/W2094017264","https://openalex.org/W2100967097","https://openalex.org/W2106395079","https://openalex.org/W2135317027","https://openalex.org/W2140365484","https://openalex.org/W2161425440","https://openalex.org/W2164812525","https://openalex.org/W2214798665","https://openalex.org/W2247602753","https://openalex.org/W2331147665","https://openalex.org/W2492766244","https://openalex.org/W4256288338","https://openalex.org/W4285719527","https://openalex.org/W6655683421","https://openalex.org/W6674966286","https://openalex.org/W6702543079"],"related_works":["https://openalex.org/W2078317866","https://openalex.org/W196019683","https://openalex.org/W2159111780","https://openalex.org/W2164823308","https://openalex.org/W2162076447","https://openalex.org/W2074476396","https://openalex.org/W3123253234","https://openalex.org/W2738908764","https://openalex.org/W2386766233","https://openalex.org/W1965449281"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"a":[3,7],"sliding-mode":[4],"observer":[5,15,31,45],"for":[6],"class":[8],"of":[9,43,49],"non-linear":[10],"systems":[11],"is":[12,16],"proposed.":[13],"The":[14,23,35],"based":[17],"on":[18],"the":[19,44,47,63],"equivalent":[20],"control":[21],"method.":[22,65],"mathematical":[24],"tools":[25],"required":[26],"to":[27,53,61],"design":[28],"such":[29],"an":[30],"are":[32,59],"also":[33],"presented.":[34],"proposed":[36,64],"scheme":[37],"can":[38],"ensure":[39],"finite":[40],"time":[41],"convergence":[42],"and":[46],"reduction":[48],"chattering":[50],"effect":[51],"due":[52],"relay-type":[54],"correction":[55],"terms.":[56],"Several":[57],"examples":[58],"presented":[60],"illustrate":[62]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}