{"id":"https://openalex.org/W1870045584","doi":"https://doi.org/10.3390/e17085580","title":"Adaptive Fuzzy Control for Nonlinear Fractional-Order Uncertain Systems with Unknown Uncertainties and External Disturbance","display_name":"Adaptive Fuzzy Control for Nonlinear Fractional-Order Uncertain Systems with Unknown Uncertainties and External Disturbance","publication_year":2015,"publication_date":"2015-08-03","ids":{"openalex":"https://openalex.org/W1870045584","doi":"https://doi.org/10.3390/e17085580","mag":"1870045584"},"language":"en","primary_location":{"id":"doi:10.3390/e17085580","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17085580","pdf_url":"https://www.mdpi.com/1099-4300/17/8/5580/pdf?version=1438602250","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/17/8/5580/pdf?version=1438602250","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005103042","display_name":"Ling Li","orcid":"https://orcid.org/0000-0002-2866-8323"},"institutions":[{"id":"https://openalex.org/I4210135980","display_name":"Huainan Normal University","ror":"https://ror.org/03n7a5z57","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210135980"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ling Li","raw_affiliation_strings":["School of Economics and Management, Huainan Normal University 238 Dongshan West Road, Huainan 232038, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Huainan Normal University 238 Dongshan West Road, Huainan 232038, China","institution_ids":["https://openalex.org/I4210135980"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012518350","display_name":"Yeguo Sun","orcid":"https://orcid.org/0000-0003-4510-9192"},"institutions":[{"id":"https://openalex.org/I4210135980","display_name":"Huainan Normal University","ror":"https://ror.org/03n7a5z57","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210135980"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yeguo Sun","raw_affiliation_strings":["School of Finance, Huainan Normal University 238 Dongshan West Road, Huainan 232038, China"],"affiliations":[{"raw_affiliation_string":"School of Finance, Huainan Normal University 238 Dongshan West Road, Huainan 232038, China","institution_ids":["https://openalex.org/I4210135980"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012518350"],"corresponding_institution_ids":["https://openalex.org/I4210135980"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":7.157,"has_fulltext":true,"cited_by_count":52,"citation_normalized_percentile":{"value":0.97002511,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"17","issue":"8","first_page":"5580","last_page":"5592"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9857000112533569,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.8346943259239197},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6854119300842285},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6380031108856201},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6366152167320251},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5731850266456604},{"id":"https://openalex.org/keywords/disturbance","display_name":"Disturbance (geology)","score":0.5227692127227783},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5153385996818542},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4429960548877716},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.4333263635635376},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43330177664756775},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.43093112111091614},{"id":"https://openalex.org/keywords/fractional-order-system","display_name":"Fractional-order system","score":0.4252660572528839},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.3496314287185669},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3172804117202759},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.19489145278930664},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11883684992790222}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8346943259239197},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6854119300842285},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6380031108856201},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6366152167320251},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5731850266456604},{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.5227692127227783},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5153385996818542},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4429960548877716},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.4333263635635376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43330177664756775},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.43093112111091614},{"id":"https://openalex.org/C2779728712","wikidata":"https://www.wikidata.org/wiki/Q17014617","display_name":"Fractional-order system","level":3,"score":0.4252660572528839},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.3496314287185669},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3172804117202759},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.19489145278930664},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11883684992790222},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e17085580","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17085580","pdf_url":"https://www.mdpi.com/1099-4300/17/8/5580/pdf?version=1438602250","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e630e1f9a9044c49a531d7367050f815","is_oa":true,"landing_page_url":"https://doaj.org/article/e630e1f9a9044c49a531d7367050f815","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":"Entropy, Vol 17, Iss 8, Pp 5580-5592 (2015)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/17/8/5580/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e17085580","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":"Entropy","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e17085580","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17085580","pdf_url":"https://www.mdpi.com/1099-4300/17/8/5580/pdf?version=1438602250","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2082826544","display_name":null,"funder_award_id":"Postdoctoral","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3036838725","display_name":null,"funder_award_id":"KJ2013A239","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G486278725","display_name":null,"funder_award_id":"61403157","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G5249178904","display_name":null,"funder_award_id":"Grant No. 6","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5940320838","display_name":null,"funder_award_id":"2014M550241","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7679647539","display_name":null,"funder_award_id":"KJ2013A239","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G7726157001","display_name":null,"funder_award_id":"Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8013254207","display_name":null,"funder_award_id":"61403157","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8208342437","display_name":null,"funder_award_id":"1 and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1870045584.pdf","grobid_xml":"https://content.openalex.org/works/W1870045584.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1978345715","https://openalex.org/W1990830194","https://openalex.org/W2004202105","https://openalex.org/W2011289750","https://openalex.org/W2023076762","https://openalex.org/W2025272176","https://openalex.org/W2030959812","https://openalex.org/W2040722980","https://openalex.org/W2051896076","https://openalex.org/W2058317840","https://openalex.org/W2058860728","https://openalex.org/W2074916122","https://openalex.org/W2076638775","https://openalex.org/W2092861539","https://openalex.org/W2093401412","https://openalex.org/W2095347830","https://openalex.org/W2115372497","https://openalex.org/W2124303774","https://openalex.org/W6656845349","https://openalex.org/W6676811178"],"related_works":["https://openalex.org/W1934622834","https://openalex.org/W2015036175","https://openalex.org/W52595378","https://openalex.org/W2157347895","https://openalex.org/W2807313546","https://openalex.org/W2156757264","https://openalex.org/W1780388054","https://openalex.org/W3048266432","https://openalex.org/W71690152","https://openalex.org/W2272010806"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,13,29,35,56,59,65,75,85,88],"problem":[4],"of":[5,8,15,74,87],"robust":[6],"control":[7],"nonlinear":[9,31],"fractional-order":[10],"systems":[11,24,61],"in":[12,58],"presence":[14],"uncertainties":[16],"and":[17,40,64],"external":[18],"disturbance":[19],"is":[20,48,81],"investigated.":[21],"Fuzzy":[22],"logic":[23],"are":[25],"used":[26],"for":[27],"estimating":[28],"unknown":[30],"functions.":[32],"Based":[33],"on":[34],"fractional":[36],"Lyapunov":[37],"direct":[38],"method":[39,52],"some":[41],"proposed":[42,51,89],"Lemmas,":[43],"an":[44,70,78],"adaptive":[45],"fuzzy":[46],"controller":[47],"designed.":[49],"The":[50],"can":[53],"guarantee":[54],"all":[55],"signals":[57],"closed-loop":[60],"remain":[62],"bounded":[63],"tracking":[66],"errors":[67],"converge":[68],"to":[69,83],"arbitrary":[71],"small":[72],"region":[73],"origin.":[76],"Lastly,":[77],"illustrative":[79],"example":[80],"given":[82],"demonstrate":[84],"effectiveness":[86],"results.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}