{"id":"https://openalex.org/W4400009802","doi":"https://doi.org/10.61822/amcs-2024-0013","title":"Algebraic active disturbance rejection to control a generalized uncertain second-order flat system","display_name":"Algebraic active disturbance rejection to control a generalized uncertain second-order flat system","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4400009802","doi":"https://doi.org/10.61822/amcs-2024-0013"},"language":"en","primary_location":{"id":"doi:10.61822/amcs-2024-0013","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61822/amcs-2024-0013","pdf_url":"https://reference-global.com/2/v2/download/article/10.61822/amcs-2024-0013.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://reference-global.com/2/v2/download/article/10.61822/amcs-2024-0013.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041332004","display_name":"Carlos Aguilar-Ib\u00e1\u00f1ez","orcid":"https://orcid.org/0000-0003-3925-2435"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Carlos Aguilar-Ibanez","raw_affiliation_strings":["Center of Computing Research, National Polytechnic Institute"],"affiliations":[{"raw_affiliation_string":"Center of Computing Research, National Polytechnic Institute","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019696988","display_name":"Miguel S. Su\u00e1rez-Casta\u00f1\u00f3n","orcid":"https://orcid.org/0000-0002-2258-7426"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Miguel S. Suarez-Castanon","raw_affiliation_strings":["Higher School of Computing, National Polytechnic Institute"],"affiliations":[{"raw_affiliation_string":"Higher School of Computing, National Polytechnic Institute","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080182027","display_name":"Belem Saldivar","orcid":"https://orcid.org/0000-0002-5150-8635"},"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":"Belem Saldivar","raw_affiliation_strings":["Department of Automatic Control, Center for Research and Advanced Studies (CINVESTAV)"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Center for Research and Advanced Studies (CINVESTAV)","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025176811","display_name":"Manuel Jim\u00e9nez\u2010Liz\u00e1rraga","orcid":"https://orcid.org/0000-0002-1071-220X"},"institutions":[{"id":"https://openalex.org/I169046204","display_name":"Universidad Aut\u00f3noma de Nuevo Le\u00f3n","ror":"https://ror.org/01fh86n78","country_code":"MX","type":"education","lineage":["https://openalex.org/I169046204"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Manuel A. Jimenez-Lizarraga","raw_affiliation_strings":["Faculty of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon","Faculty of Physical and Mathematical Sciences Autonomous University of Nuevo Leon Av. Universidad S/N, 66451, Nuevo Leon, Mexico"],"affiliations":[{"raw_affiliation_string":"Faculty of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon","institution_ids":["https://openalex.org/I169046204"]},{"raw_affiliation_string":"Faculty of Physical and Mathematical Sciences Autonomous University of Nuevo Leon Av. Universidad S/N, 66451, Nuevo Leon, Mexico","institution_ids":["https://openalex.org/I169046204"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045107243","display_name":"Jos\u00e9 de Jes\u00fas Rubio","orcid":"https://orcid.org/0000-0002-2005-5979"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jose de Jesus Rubio","raw_affiliation_strings":["Higher School of Mechanical and Electrical Engineering\u2014Azcapotalco Unit, National Polytechnic Institute"],"affiliations":[{"raw_affiliation_string":"Higher School of Mechanical and Electrical Engineering\u2014Azcapotalco Unit, National Polytechnic Institute","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035166600","display_name":"Julio Alberto Mendoza-Mendoza","orcid":"https://orcid.org/0000-0002-6335-0134"},"institutions":[{"id":"https://openalex.org/I4210166862","display_name":"Advanced Engineering (Czechia)","ror":"https://ror.org/05w67p097","country_code":"CZ","type":"company","lineage":["https://openalex.org/I4210166862"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Julio Mendoza-Mendoza","raw_affiliation_strings":["Interdisciplinary Professional Unit in Engineering and Advanced Engineering, National Polytechnic Institute"],"affiliations":[{"raw_affiliation_string":"Interdisciplinary Professional Unit in Engineering and Advanced Engineering, National Polytechnic Institute","institution_ids":["https://openalex.org/I4210166862"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5041332004"],"corresponding_institution_ids":[],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":0.3351,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54684034,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"34","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9905999898910522,"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":0.9905999898910522,"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":0.9776999950408936,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9585000276565552,"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/disturbance","display_name":"Disturbance (geology)","score":0.6791344285011292},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6782509684562683},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6020928621292114},{"id":"https://openalex.org/keywords/active-disturbance-rejection-control","display_name":"Active disturbance rejection control","score":0.5998475551605225},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5668228268623352},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5484545826911926},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5146716237068176},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39794665575027466},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28475508093833923},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2425084114074707},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.12619498372077942},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11702069640159607},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11628684401512146},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09024494886398315},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08785191178321838}],"concepts":[{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.6791344285011292},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6782509684562683},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6020928621292114},{"id":"https://openalex.org/C2778072542","wikidata":"https://www.wikidata.org/wiki/Q4677499","display_name":"Active disturbance rejection control","level":4,"score":0.5998475551605225},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5668228268623352},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5484545826911926},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5146716237068176},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39794665575027466},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28475508093833923},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2425084114074707},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.12619498372077942},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11702069640159607},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11628684401512146},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09024494886398315},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08785191178321838},{"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/C3031470","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State observer","level":3,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.61822/amcs-2024-0013","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61822/amcs-2024-0013","pdf_url":"https://reference-global.com/2/v2/download/article/10.61822/amcs-2024-0013.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c295cba8ef2547d699f7943602ecc90c","is_oa":true,"landing_page_url":"https://doaj.org/article/c295cba8ef2547d699f7943602ecc90c","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Applied Mathematics and Computer Science, Vol 34, Iss 2, Pp 185-198 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.61822/amcs-2024-0013","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61822/amcs-2024-0013","pdf_url":"https://reference-global.com/2/v2/download/article/10.61822/amcs-2024-0013.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.550000011920929}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321694","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400009802.pdf","grobid_xml":"https://content.openalex.org/works/W4400009802.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W44941724","https://openalex.org/W367204101","https://openalex.org/W635153735","https://openalex.org/W908017940","https://openalex.org/W1493660977","https://openalex.org/W1515771711","https://openalex.org/W1573527758","https://openalex.org/W1583020989","https://openalex.org/W1611538460","https://openalex.org/W1978071493","https://openalex.org/W1981370199","https://openalex.org/W1987486506","https://openalex.org/W1991529685","https://openalex.org/W1998230610","https://openalex.org/W2008889363","https://openalex.org/W2014993114","https://openalex.org/W2057140161","https://openalex.org/W2065972277","https://openalex.org/W2086199112","https://openalex.org/W2090167557","https://openalex.org/W2103345351","https://openalex.org/W2103983363","https://openalex.org/W2105737698","https://openalex.org/W2117969169","https://openalex.org/W2119240261","https://openalex.org/W2120547633","https://openalex.org/W2129808186","https://openalex.org/W2134610525","https://openalex.org/W2135493101","https://openalex.org/W2135566080","https://openalex.org/W2137002893","https://openalex.org/W2158208985","https://openalex.org/W2161525959","https://openalex.org/W2163114046","https://openalex.org/W2167138607","https://openalex.org/W2317962119","https://openalex.org/W2420367108","https://openalex.org/W2474821858","https://openalex.org/W2599966004","https://openalex.org/W2920888986","https://openalex.org/W2941680849","https://openalex.org/W2964275488","https://openalex.org/W2972572561","https://openalex.org/W2993823983","https://openalex.org/W3045620689","https://openalex.org/W3088865680","https://openalex.org/W3196167895","https://openalex.org/W3197061749","https://openalex.org/W4213200973","https://openalex.org/W4251869931","https://openalex.org/W4300506249","https://openalex.org/W4398173959"],"related_works":["https://openalex.org/W2038604956","https://openalex.org/W2296560746","https://openalex.org/W2338222801","https://openalex.org/W2347583731","https://openalex.org/W2106602008","https://openalex.org/W4210729524","https://openalex.org/W2991240131","https://openalex.org/W2953358686","https://openalex.org/W2294659156","https://openalex.org/W2353427523"],"abstract_inverted_index":{"<abstract":[0],"xmlns=\"http://www.w3.org/1999/xhtml\">":[1],"We":[2,56,97],"introduce":[3],"an":[4,17,62],"algebraically":[5,31],"active":[6],"disturbance":[7],"rejection-based":[8],"control":[9,54],"solution":[10],"for":[11,49],"the":[12,33,38,50,53,58,69,74,82,86,90,100,110,113],"trajectory":[13],"tracking":[14],"problem":[15],"of":[16,45,112],"uncertain":[18],"second-order":[19,70],"flat":[20],"system":[21,71,84],"with":[22,41],"unknown":[23,35],"external":[24,39],"disturbances.":[25],"To":[26],"this":[27],"end,":[28],"we":[29,80,108],"first":[30],"identify":[32],"system\u2019s":[34],"dynamics":[36,60],"and":[37,52,72,92],"disturbances":[40],"a":[42,77,117],"linear":[43,104],"set":[44],"time-varying":[46],"integral":[47],"expressions":[48],"output":[51],"signal.":[55],"use":[57],"identified":[59],"on":[61],"online":[63],"feedback":[64,94],"cancellation":[65],"scheme":[66],"to":[67,88],"linearize":[68],"cancel":[73],"uncertainties.":[75],"With":[76],"proportional-integral":[78],"controller":[79,115],"stabilize":[81],"linearized":[83],"without":[85],"need":[87],"estimate":[89],"velocity":[91],"have":[93],"from":[95],"it.":[96],"carry":[98],"out":[99],"stability":[101],"analysis":[102],"using":[103],"systems":[105],"theory.":[106],"Finally,":[107],"evaluate":[109],"effectiveness":[111],"proposed":[114],"in":[116],"partially":[118],"known":[119],"2-DOF":[120],"manipulator.":[121],"</abstract>":[122]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
