{"id":"https://openalex.org/W2898431217","doi":"https://doi.org/10.3390/a11110168","title":"Fractional Order Sliding Mode Control of a Class of Second Order Perturbed Nonlinear Systems: Application to the Trajectory Tracking of a Quadrotor","display_name":"Fractional Order Sliding Mode Control of a Class of Second Order Perturbed Nonlinear Systems: Application to the Trajectory Tracking of a Quadrotor","publication_year":2018,"publication_date":"2018-10-26","ids":{"openalex":"https://openalex.org/W2898431217","doi":"https://doi.org/10.3390/a11110168","mag":"2898431217"},"language":"en","primary_location":{"id":"doi:10.3390/a11110168","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a11110168","pdf_url":"https://www.mdpi.com/1999-4893/11/11/168/pdf?version=1540544258","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/11/11/168/pdf?version=1540544258","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009495535","display_name":"Arturo Govea-Vargas","orcid":null},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Arturo Govea-Vargas","raw_affiliation_strings":["Department of Electrical Engineering, CINVESTAV, Av. IPN 2508, Ciudad de M\u00e9xico 07360, M\u00e9xico"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, CINVESTAV, Av. IPN 2508, Ciudad de M\u00e9xico 07360, M\u00e9xico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026534947","display_name":"R. Castro\u2010Linares","orcid":"https://orcid.org/0000-0002-9227-4505"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","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":"Rafael Castro-Linares","raw_affiliation_strings":["Department of Electrical Engineering, CINVESTAV, Av. IPN 2508, Ciudad de M\u00e9xico 07360, M\u00e9xico"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, CINVESTAV, Av. IPN 2508, Ciudad de M\u00e9xico 07360, M\u00e9xico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064595532","display_name":"Manuel A. Duarte\u2010Mermoud","orcid":"https://orcid.org/0000-0003-2367-4553"},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Manuel A. Duarte-Mermoud","raw_affiliation_strings":["Advanced Mining Technology Center, University of Chile, Av. Tupper 2007, Santiago 8370451, Chile","Department of Electrical Engineering, University of Chile, Av. Tupper 2007, Santiago 8370451, Chile"],"affiliations":[{"raw_affiliation_string":"Advanced Mining Technology Center, University of Chile, Av. Tupper 2007, Santiago 8370451, Chile","institution_ids":["https://openalex.org/I69737025"]},{"raw_affiliation_string":"Department of Electrical Engineering, University of Chile, Av. Tupper 2007, Santiago 8370451, Chile","institution_ids":["https://openalex.org/I69737025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056109007","display_name":"Norelys Aguila\u2010Camacho","orcid":"https://orcid.org/0000-0002-4514-0037"},"institutions":[{"id":"https://openalex.org/I4210144223","display_name":"Metropolitan University of Technology","ror":"https://ror.org/04bpsn575","country_code":"CL","type":"education","lineage":["https://openalex.org/I4210144223"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Norelys Aguila-Camacho","raw_affiliation_strings":["Departmento de Electricidad, Universidad Tecnol\u00f3gica Metropolitana, Av. Jos\u00e9 Pedro Alessandri 1242, Santiago 7800002, Chile"],"affiliations":[{"raw_affiliation_string":"Departmento de Electricidad, Universidad Tecnol\u00f3gica Metropolitana, Av. Jos\u00e9 Pedro Alessandri 1242, Santiago 7800002, Chile","institution_ids":["https://openalex.org/I4210144223"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087410577","display_name":"Gustavo E. Ceballos Benavides","orcid":"https://orcid.org/0000-0002-5707-2967"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I3129898985","display_name":"Universidad Gabriela Mistral","ror":"https://ror.org/05wygq130","country_code":"CL","type":"education","lineage":["https://openalex.org/I3129898985"]}],"countries":["CL","FR"],"is_corresponding":false,"raw_author_name":"Gustavo E. Ceballos-Benavides","raw_affiliation_strings":["Facultad de Negocios, Ingenier\u00eda y Artes Digitales, Universidad Gabriela Mistral, Av. Ricardo Lyon 1177, Providencia, Santiago 7510549, Chile"],"affiliations":[{"raw_affiliation_string":"Facultad de Negocios, Ingenier\u00eda y Artes Digitales, Universidad Gabriela Mistral, Av. Ricardo Lyon 1177, Providencia, Santiago 7510549, Chile","institution_ids":["https://openalex.org/I3129898985","https://openalex.org/I100532134"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5009495535"],"corresponding_institution_ids":["https://openalex.org/I68368234"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.4964,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.83772508,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"11","issue":"11","first_page":"168","last_page":"168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998000264167786,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","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/T11081","display_name":"Advanced Control Systems Design","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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9995999932289124,"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":0.8402845859527588},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7164063453674316},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.69488126039505},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.6930699944496155},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6003872156143188},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.5041309595108032},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.48930832743644714},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4520615339279175},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41930729150772095},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2534925043582916},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11619028449058533},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07593247294425964}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8402845859527588},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7164063453674316},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.69488126039505},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.6930699944496155},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6003872156143188},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.5041309595108032},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.48930832743644714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4520615339279175},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41930729150772095},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2534925043582916},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11619028449058533},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07593247294425964},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a11110168","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a11110168","pdf_url":"https://www.mdpi.com/1999-4893/11/11/168/pdf?version=1540544258","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9fa7e5d959544bd191beeb21a28a3afe","is_oa":true,"landing_page_url":"https://doaj.org/article/9fa7e5d959544bd191beeb21a28a3afe","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 11, Iss 11, p 168 (2018)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/11/11/168/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/a11110168","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a11110168","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a11110168","pdf_url":"https://www.mdpi.com/1999-4893/11/11/168/pdf?version=1540544258","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1158795700","display_name":null,"funder_award_id":"Mexico","funder_id":"https://openalex.org/F4320321739","funder_display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda"},{"id":"https://openalex.org/G8356129334","display_name":null,"funder_award_id":"254329","funder_id":"https://openalex.org/F4320321739","funder_display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda"}],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2898431217.pdf","grobid_xml":"https://content.openalex.org/works/W2898431217.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W49297111","https://openalex.org/W118683016","https://openalex.org/W1516289514","https://openalex.org/W1552319742","https://openalex.org/W1696467154","https://openalex.org/W1969313263","https://openalex.org/W1969501836","https://openalex.org/W1969870970","https://openalex.org/W1992716641","https://openalex.org/W1993304466","https://openalex.org/W2039739128","https://openalex.org/W2041848261","https://openalex.org/W2043921909","https://openalex.org/W2049217659","https://openalex.org/W2051190711","https://openalex.org/W2082062104","https://openalex.org/W2091115525","https://openalex.org/W2092861539","https://openalex.org/W2105211672","https://openalex.org/W2114498317","https://openalex.org/W2141156915","https://openalex.org/W2150137810","https://openalex.org/W2191939067","https://openalex.org/W2287982072","https://openalex.org/W2412523534","https://openalex.org/W2426354227","https://openalex.org/W2487183230","https://openalex.org/W2487699863","https://openalex.org/W3104377047","https://openalex.org/W4231019594","https://openalex.org/W6675202180","https://openalex.org/W7025222877"],"related_works":["https://openalex.org/W4323768008","https://openalex.org/W3131574667","https://openalex.org/W2084086966","https://openalex.org/W4248382324","https://openalex.org/W4360995134","https://openalex.org/W2387529410","https://openalex.org/W2039473718","https://openalex.org/W2373557848","https://openalex.org/W2088970451","https://openalex.org/W2157008402"],"abstract_inverted_index":{"A":[0,25],"Fractional":[1],"Order":[2],"Sliding":[3],"Mode":[4],"Control":[5],"(FOSMC)":[6],"is":[7,28,42,54],"proposed":[8],"in":[9,63,69],"this":[10],"paper":[11],"for":[12],"an":[13,20],"integer":[14],"second":[15],"order":[16,64],"nonlinear":[17],"system":[18],"with":[19],"unknown":[21],"additive":[22],"perturbation":[23,49],"term.":[24,50],"sufficient":[26],"condition":[27],"given":[29,36],"to":[30,34,56,65,76],"assure":[31],"the":[32,45,48,57,70,78,81],"attractiveness":[33],"a":[35,60],"sliding":[37],"surface":[38],"where":[39],"trajectory":[40,67],"tracking":[41,68],"assured,":[43],"despite":[44],"presence":[46],"of":[47,59,80],"The":[51],"control":[52,82],"scheme":[53],"applied":[55],"model":[58],"quadrotor":[61],"vehicle":[62],"have":[66],"space.":[71],"Simulation":[72],"results":[73],"are":[74],"presented":[75],"evaluate":[77],"performance":[79],"scheme.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
