{"id":"https://openalex.org/W2040406751","doi":"https://doi.org/10.1109/vss.2012.6163525","title":"A direct model reference adaptive control for SISO linear time invariant systems with Super-Twisting-like terms","display_name":"A direct model reference adaptive control for SISO linear time invariant systems with Super-Twisting-like terms","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2040406751","doi":"https://doi.org/10.1109/vss.2012.6163525","mag":"2040406751"},"language":"en","primary_location":{"id":"doi:10.1109/vss.2012.6163525","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vss.2012.6163525","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 12th International Workshop on Variable Structure Systems","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":null,"display_name":"Eder Guzman","orcid":null},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Eder Guzman","raw_affiliation_strings":["El\u00e9ctrica y Computaci\u00f3n, Instituto de Ingenier\u00eda, Universidad Nacional Aut\u00e9noma de M\u00e9xico, Mexico, Distrito Federal, Mexico","El\u00e9ctrica y Computati\u00f3n, Institute de Ingenier\u00eda, Universidad National Aut\u00f3noma de M\u00e9xico, 04510 M\u00e9xico D.F., Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"El\u00e9ctrica y Computaci\u00f3n, Instituto de Ingenier\u00eda, Universidad Nacional Aut\u00e9noma de M\u00e9xico, Mexico, Distrito Federal, Mexico","institution_ids":["https://openalex.org/I8961855"]},{"raw_affiliation_string":"El\u00e9ctrica y Computati\u00f3n, Institute de Ingenier\u00eda, Universidad National Aut\u00f3noma de M\u00e9xico, 04510 M\u00e9xico D.F., Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011888247","display_name":"Jaime A. Moreno","orcid":"https://orcid.org/0000-0002-2556-9784"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jaime A. Moreno","raw_affiliation_strings":["El\u00e9ctrica y Computaci\u00f3n, Instituto de Ingenier\u00eda, Universidad Nacional Aut\u00e9noma de M\u00e9xico, Mexico, Distrito Federal, Mexico","El\u00e9ctrica y Computati\u00f3n, Institute de Ingenier\u00eda, Universidad National Aut\u00f3noma de M\u00e9xico, 04510 M\u00e9xico D.F., Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"El\u00e9ctrica y Computaci\u00f3n, Instituto de Ingenier\u00eda, Universidad Nacional Aut\u00e9noma de M\u00e9xico, Mexico, Distrito Federal, Mexico","institution_ids":["https://openalex.org/I8961855"]},{"raw_affiliation_string":"El\u00e9ctrica y Computati\u00f3n, Institute de Ingenier\u00eda, Universidad National Aut\u00f3noma de M\u00e9xico, 04510 M\u00e9xico D.F., Mexico","institution_ids":["https://openalex.org/I8961855"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I8961855"],"apc_list":null,"apc_paid":null,"fwci":0.5685,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.73952039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"412","issue":null,"first_page":"337","last_page":"342"},"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9993000030517578,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9987999796867371,"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":0.6480368375778198},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.6224747896194458},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.622394323348999},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6020990610122681},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5869452953338623},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5584335327148438},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5417429208755493},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.4714929759502411},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.46178844571113586},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4182093143463135},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35618066787719727},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3139798939228058},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.2686923146247864},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16541409492492676},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14295151829719543},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12757182121276855},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06707215309143066}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6480368375778198},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.6224747896194458},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.622394323348999},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6020990610122681},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5869452953338623},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5584335327148438},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5417429208755493},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.4714929759502411},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.46178844571113586},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4182093143463135},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35618066787719727},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3139798939228058},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2686923146247864},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16541409492492676},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14295151829719543},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12757182121276855},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06707215309143066},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/vss.2012.6163525","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vss.2012.6163525","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 12th International Workshop on Variable Structure Systems","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":21,"referenced_works":["https://openalex.org/W130083205","https://openalex.org/W601351931","https://openalex.org/W1548148540","https://openalex.org/W1572161815","https://openalex.org/W1995327305","https://openalex.org/W1996293513","https://openalex.org/W1999558720","https://openalex.org/W2010276843","https://openalex.org/W2015162542","https://openalex.org/W2018851823","https://openalex.org/W2030959268","https://openalex.org/W2031945217","https://openalex.org/W2047993072","https://openalex.org/W2067603665","https://openalex.org/W2075933120","https://openalex.org/W2084030677","https://openalex.org/W2124662518","https://openalex.org/W2154892481","https://openalex.org/W6654175176","https://openalex.org/W6671602390","https://openalex.org/W6678249270"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W4387451451","https://openalex.org/W2137300182","https://openalex.org/W2015036175","https://openalex.org/W1934622834","https://openalex.org/W75826713","https://openalex.org/W4244451378","https://openalex.org/W2148059640","https://openalex.org/W2012849878","https://openalex.org/W2076533818"],"abstract_inverted_index":{"Recently,":[0],"the":[1,44,51,80,101,105,108,113,120,136,140,148,153],"authors":[2],"have":[3],"proposed":[4,114,137],"[2]":[5,59,85],"a":[6,64,143],"new":[7],"Direct":[8],"MRAC":[9,141],"(Model":[10],"Reference":[11,55],"Adaptive":[12],"Control)":[13],"for":[14,88,157],"SISO,":[15],"relative":[16,97],"degree":[17,98],"1,":[18],"LTI":[19],"systems,":[20],"which":[21],"has":[22,60],"finite-time":[23],"tracking":[24],"and":[25,46],"parameter":[26,47],"convergence.":[27],"These":[28],"properties":[29],"are":[30],"obtained":[31],"by":[32],"adding":[33],"some":[34],"strong,":[35],"i.e.":[36],"non":[37],"locally":[38],"Lipschitz":[39],"or":[40],"discontinuous,":[41],"nonlinearities":[42],"to":[43,63,77,128],"controller":[45],"estimation":[48],"algorithm":[49,82,115,138],"of":[50,73,104,155],"classical":[52,121,149],"MRAC.":[53],"The":[54,71],"Model":[56],"(RM)":[57],"in":[58,84,152],"been":[61],"restricted":[62],"SPR":[65,93],"transfer":[66,94],"function":[67,95],"with":[68,96,142,159],"no":[69],"zeroes.":[70],"objective":[72],"this":[74],"paper":[75],"is":[76,86,126],"show":[78],"that":[79],"same":[81],"used":[83,127],"valid":[87],"any":[89],"RM,":[90],"having":[91],"an":[92],"one.":[99,122],"However,":[100],"zero":[102,160],"dynamics":[103],"RM":[106],"precludes":[107],"finite":[109],"time":[110],"convergence,":[111],"but":[112],"still":[116],"converges":[117],"faster":[118],"than":[119,147],"A":[123],"Lyapunov-based":[124],"approach":[125],"prove":[129],"these":[130],"properties.":[131],"Some":[132],"simulations":[133],"illustrate":[134],"how":[135],"provides":[139],"much":[144],"better":[145],"convergence":[146],"algorithm,":[150],"even":[151],"presence":[154],"noise,":[156],"RMs":[158],"dynamics.":[161]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}