{"id":"https://openalex.org/W2149902896","doi":"https://doi.org/10.1017/s0960129512000473","title":"Adaptive control of a class of non-linear systems preceded by backlash-like hysteresis","display_name":"Adaptive control of a class of non-linear systems preceded by backlash-like hysteresis","publication_year":2014,"publication_date":"2014-09-04","ids":{"openalex":"https://openalex.org/W2149902896","doi":"https://doi.org/10.1017/s0960129512000473","mag":"2149902896"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129512000473","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129512000473","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-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":"https://openalex.org/A5033613326","display_name":"Jianping Cai","orcid":"https://orcid.org/0000-0003-4724-796X"},"institutions":[{"id":"https://openalex.org/I4210160030","display_name":"Zhejiang University of Water Resource and Electric Power","ror":"https://ror.org/04dg5b632","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210160030"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"JIANPING CAI","raw_affiliation_strings":["Zhejiang University of Water Resource and Electric Power Hangzhou, 310018, P.R.China"],"affiliations":[{"raw_affiliation_string":"Zhejiang University of Water Resource and Electric Power Hangzhou, 310018, P.R.China","institution_ids":["https://openalex.org/I4210160030"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102332220","display_name":"Lujuan Shen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210160030","display_name":"Zhejiang University of Water Resource and Electric Power","ror":"https://ror.org/04dg5b632","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210160030"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"LUJUAN SHEN","raw_affiliation_strings":["Zhejiang University of Water Resource and Electric Power Hangzhou, 310018, P.R.China"],"affiliations":[{"raw_affiliation_string":"Zhejiang University of Water Resource and Electric Power Hangzhou, 310018, P.R.China","institution_ids":["https://openalex.org/I4210160030"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075337748","display_name":"Fuzhen Wu","orcid":"https://orcid.org/0000-0002-0629-6258"},"institutions":[{"id":"https://openalex.org/I4210160030","display_name":"Zhejiang University of Water Resource and Electric Power","ror":"https://ror.org/04dg5b632","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210160030"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"FUZHEN WU","raw_affiliation_strings":["Zhejiang University of Water Resource and Electric Power Hangzhou, 310018, P.R.China"],"affiliations":[{"raw_affiliation_string":"Zhejiang University of Water Resource and Electric Power Hangzhou, 310018, P.R.China","institution_ids":["https://openalex.org/I4210160030"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033613326"],"corresponding_institution_ids":["https://openalex.org/I4210160030"],"apc_list":null,"apc_paid":null,"fwci":0.4057,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.71210997,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"24","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9994000196456909,"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/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9994000196456909,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","score":0.9837999939918518,"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":0.8451067209243774},{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.8447924852371216},{"id":"https://openalex.org/keywords/backlash","display_name":"Backlash","score":0.8003507852554321},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5982223749160767},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5870357155799866},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.5767200589179993},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5692707300186157},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5343799591064453},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5167105197906494},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5092941522598267},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.4877925217151642},{"id":"https://openalex.org/keywords/hysteresis","display_name":"Hysteresis","score":0.45580577850341797},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4459220767021179},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.44383981823921204},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44079574942588806},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4244655966758728},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4146689772605896},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.301832914352417},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08704796433448792},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0780787467956543},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07229572534561157}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8451067209243774},{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.8447924852371216},{"id":"https://openalex.org/C2776652708","wikidata":"https://www.wikidata.org/wiki/Q584028","display_name":"Backlash","level":2,"score":0.8003507852554321},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5982223749160767},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5870357155799866},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.5767200589179993},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5692707300186157},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5343799591064453},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5167105197906494},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5092941522598267},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.4877925217151642},{"id":"https://openalex.org/C123299182","wikidata":"https://www.wikidata.org/wiki/Q190837","display_name":"Hysteresis","level":2,"score":0.45580577850341797},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4459220767021179},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44383981823921204},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44079574942588806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4244655966758728},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4146689772605896},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.301832914352417},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08704796433448792},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0780787467956543},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07229572534561157},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0960129512000473","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129512000473","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1517254309","https://openalex.org/W1551596967","https://openalex.org/W2090167557","https://openalex.org/W2096688797","https://openalex.org/W2103256896","https://openalex.org/W2110206732","https://openalex.org/W2110355004","https://openalex.org/W2114816712","https://openalex.org/W2119445997","https://openalex.org/W2119529803","https://openalex.org/W2138020436","https://openalex.org/W2141377814","https://openalex.org/W2142177613","https://openalex.org/W2143121414","https://openalex.org/W2158036483"],"related_works":["https://openalex.org/W2780617173","https://openalex.org/W4256350635","https://openalex.org/W2136024114","https://openalex.org/W1847613412","https://openalex.org/W2376449068","https://openalex.org/W4382203996","https://openalex.org/W4365392829","https://openalex.org/W2100998971","https://openalex.org/W2002811656","https://openalex.org/W2990087644"],"abstract_inverted_index":{"We":[0,20,95],"consider":[1],"a":[2,17,22,31,46,65],"class":[3],"of":[4,36,64,71,82,84,114],"uncertain":[5],"non-linear":[6],"systems":[7],"preceded":[8],"by":[9,16,79],"unknown":[10,57,62,86,105],"backlash-like":[11],"hysteresis,":[12],"which":[13],"is":[14],"modelled":[15],"differential":[18,38],"equation.":[19,39],"propose":[21],"new":[23,47],"state":[24],"feedback":[25],"robust":[26],"adaptive":[27],"control":[28,42],"scheme":[29],"using":[30],"backstepping":[32],"technique":[33],"and":[34,60],"properties":[35],"the":[37,56,61,72,80,85,101,115],"In":[40],"this":[41,109],"scheme,":[43],"we":[44],"construct":[45],"continuous":[48],"function":[49],"to":[50,54],"design":[51],"an":[52],"estimator":[53],"estimate":[55],"constant":[58],"parameters":[59,87,107],"bound":[63],"\u2018disturbance-like\u2019":[66,102],"term.":[67],"The":[68,111],"transient":[69],"performance":[70],"output":[73],"tracking":[74],"error":[75],"can":[76,118],"be":[77,119],"guaranteed":[78],"introduction":[81],"pre-estimates":[83],"in":[88,108],"our":[89],"controller":[90],"together":[91],"with":[92],"update":[93],"laws.":[94],"do":[96],"not":[97],"require":[98],"bounds":[99],"on":[100],"term":[103],"or":[104],"system":[106,117],"scheme.":[110],"global":[112],"stability":[113],"closed-loop":[116],"proved.":[120]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
