{"id":"https://openalex.org/W2886569034","doi":"https://doi.org/10.1177/0142331218788125","title":"Sliding mode learning control of uncertain nonlinear systems with Lyapunov stability analysis","display_name":"Sliding mode learning control of uncertain nonlinear systems with Lyapunov stability analysis","publication_year":2018,"publication_date":"2018-08-13","ids":{"openalex":"https://openalex.org/W2886569034","doi":"https://doi.org/10.1177/0142331218788125","mag":"2886569034"},"language":"en","primary_location":{"id":"doi:10.1177/0142331218788125","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331218788125","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2103.11274","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060508527","display_name":"Erkan Kayacan","orcid":"https://orcid.org/0000-0002-4618-7515"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Erkan Kayacan","raw_affiliation_strings":["Senseable City Laboratory and Computer Science & Artificial Intelligence Laboratory, Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Senseable City Laboratory and Computer Science & Artificial Intelligence Laboratory, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060508527"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.9129,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.75601322,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"41","issue":"6","first_page":"1750","last_page":"1760"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","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"}},"topics":[{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9839000105857849,"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/T14225","display_name":"Advanced Sensor and Control Systems","score":0.9541000127792358,"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":0.8390986919403076},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.7443988919258118},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6249486804008484},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5905126333236694},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5852152705192566},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.5833667516708374},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.5431877374649048},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5035600066184998},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4975312054157257},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.4720783233642578},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.45567426085472107},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.441121369600296},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3791399598121643},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.28329145908355713},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.28019917011260986},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19873499870300293},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10486507415771484}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8390986919403076},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.7443988919258118},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6249486804008484},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5905126333236694},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5852152705192566},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.5833667516708374},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.5431877374649048},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5035600066184998},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4975312054157257},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.4720783233642578},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.45567426085472107},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.441121369600296},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3791399598121643},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.28329145908355713},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28019917011260986},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19873499870300293},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10486507415771484},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1177/0142331218788125","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331218788125","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2103.11274","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.11274","pdf_url":"https://arxiv.org/pdf/2103.11274","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:espace.library.uq.edu.au:UQ:71af023","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402388","display_name":"Queensland's institutional digital repository (The University of Queensland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165143802","host_organization_name":"The University of Queensland","host_organization_lineage":["https://openalex.org/I165143802"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2103.11274","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.11274","pdf_url":"https://arxiv.org/pdf/2103.11274","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1516289514","https://openalex.org/W1569612973","https://openalex.org/W1968721534","https://openalex.org/W1978956894","https://openalex.org/W1983601602","https://openalex.org/W1997088963","https://openalex.org/W1999471622","https://openalex.org/W2005008791","https://openalex.org/W2005944553","https://openalex.org/W2007115778","https://openalex.org/W2010699465","https://openalex.org/W2016150415","https://openalex.org/W2017785185","https://openalex.org/W2031299410","https://openalex.org/W2036984693","https://openalex.org/W2040063762","https://openalex.org/W2047440946","https://openalex.org/W2051085510","https://openalex.org/W2056655352","https://openalex.org/W2083899402","https://openalex.org/W2087535896","https://openalex.org/W2110431575","https://openalex.org/W2116046819","https://openalex.org/W2117873623","https://openalex.org/W2138324492","https://openalex.org/W2148885430","https://openalex.org/W2171472775","https://openalex.org/W2230652337","https://openalex.org/W2295677210","https://openalex.org/W2344125468","https://openalex.org/W2486562083","https://openalex.org/W2520134048","https://openalex.org/W2521981704","https://openalex.org/W2559019000","https://openalex.org/W2560234987","https://openalex.org/W2566674242","https://openalex.org/W2573044164","https://openalex.org/W2584462456","https://openalex.org/W2588638671","https://openalex.org/W2609899749","https://openalex.org/W2619584778","https://openalex.org/W2763523689","https://openalex.org/W2786734102","https://openalex.org/W2790544961","https://openalex.org/W2804020257","https://openalex.org/W2917331433","https://openalex.org/W3151304249"],"related_works":["https://openalex.org/W2117379282","https://openalex.org/W2534107666","https://openalex.org/W2123479323","https://openalex.org/W1548742399","https://openalex.org/W1973429430","https://openalex.org/W2354493725","https://openalex.org/W1989996768","https://openalex.org/W2117933783","https://openalex.org/W2560479139","https://openalex.org/W4282930489"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,18,29,46,54,65,74,105,108,120,125,131,146,152,156],"Sliding":[4],"Mode":[5],"Learning":[6],"Control":[7],"(SMLC)":[8],"of":[9,53,64,107,124,158],"uncertain":[10,115],"nonlinear":[11,116],"systems":[12,81],"with":[13,94],"Lyapunov":[14],"stability":[15,31,63,106],"analysis.":[16],"In":[17],"control":[19,23,52,92,129,166],"scheme,":[20],"a":[21,36,57,90,95],"conventional":[22],"term":[24],"is":[25,78,99,111],"used":[26],"to":[27],"provide":[28],"system":[30,42,55,84,110,153],"in":[32,56,73,101,155],"compact":[33],"space":[34],"while":[35],"type-2":[37],"neuro-fuzzy":[38],"controller":[39],"(T2NFC)":[40],"learns":[41],"behaviour":[43,154],"so":[44],"that":[45,145],"T2NFC":[47],"completely":[48],"takes":[49],"over":[50],"overall":[51,83,109],"very":[58],"short":[59],"time":[60],"period.":[61],"The":[62,141],"sliding":[66,97],"mode":[67],"learning":[68,127],"algorithm":[69,149],"has":[70],"been":[71,135],"proven":[72,112],"literature;":[75],"however,":[76],"it":[77],"restrictive":[79],"for":[80,113],"without":[82],"stability.":[85],"To":[86,118],"address":[87],"this":[88,102],"shortcoming,":[89],"novel":[91,96],"structure":[93],"surface":[98],"proposed":[100,126],"paper,":[103],"and":[104,122,128,163],"nth-order":[114],"systems.":[117],"investigate":[119],"capability":[121],"effectiveness":[123],"algorithms,":[130],"simulation":[132,142],"studies":[133],"have":[134],"carried":[136],"out":[137],"under":[138],"noisy":[139],"conditions.":[140],"results":[143],"confirm":[144],"developed":[147],"SMLC":[148],"can":[150],"learn":[151],"absence":[157],"any":[159],"mathematical":[160],"model":[161],"knowledge":[162],"exhibit":[164],"robust":[165],"performance":[167],"against":[168],"external":[169],"disturbances.":[170]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}
