{"id":"https://openalex.org/W2996624677","doi":"https://doi.org/10.1109/tsmc.2019.2956997","title":"Adaptive Quantized Control of Output Feedback Nonlinear Systems With Input Unmodeled Dynamics Based on Backstepping and Small-Gain Method","display_name":"Adaptive Quantized Control of Output Feedback Nonlinear Systems With Input Unmodeled Dynamics Based on Backstepping and Small-Gain Method","publication_year":2019,"publication_date":"2019-12-19","ids":{"openalex":"https://openalex.org/W2996624677","doi":"https://doi.org/10.1109/tsmc.2019.2956997","mag":"2996624677"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2019.2956997","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2019.2956997","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics: Systems","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/A5056193718","display_name":"Xiaonan Xia","orcid":"https://orcid.org/0000-0002-2095-6566"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaonan Xia","raw_affiliation_strings":["College of Information Engineering, Yangzhou University, Yangzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Information Engineering, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056607645","display_name":"Tianping Zhang","orcid":"https://orcid.org/0000-0002-7796-7004"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianping Zhang","raw_affiliation_strings":["College of Information Engineering, Yangzhou University, Yangzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Information Engineering, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010613549","display_name":"Yu Fang","orcid":null},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Fang","raw_affiliation_strings":["College of Information Engineering, Yangzhou University, Yangzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Information Engineering, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000738612","display_name":"Guanpeng Kang","orcid":"https://orcid.org/0000-0003-4706-8494"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanpeng Kang","raw_affiliation_strings":["College of Information Engineering, Yangzhou University, Yangzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Information Engineering, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5056193718"],"corresponding_institution_ids":["https://openalex.org/I78978612"],"apc_list":null,"apc_paid":null,"fwci":1.6847,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.85043721,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"51","issue":"9","first_page":"5686","last_page":"5697"},"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9911999702453613,"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/backstepping","display_name":"Backstepping","score":0.9246286153793335},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8569355010986328},{"id":"https://openalex.org/keywords/small-gain-theorem","display_name":"Small-gain theorem","score":0.8193765878677368},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6531249284744263},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5049002766609192},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49516668915748596},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4823110103607178},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46680453419685364},{"id":"https://openalex.org/keywords/strict-feedback-form","display_name":"Strict-feedback form","score":0.45714667439460754},{"id":"https://openalex.org/keywords/automatic-gain-control","display_name":"Automatic gain control","score":0.4138065278530121},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36521345376968384},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.35623472929000854},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2792152762413025},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09372520446777344},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09345263242721558}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.9246286153793335},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8569355010986328},{"id":"https://openalex.org/C27385263","wikidata":"https://www.wikidata.org/wiki/Q4165677","display_name":"Small-gain theorem","level":3,"score":0.8193765878677368},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6531249284744263},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5049002766609192},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49516668915748596},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4823110103607178},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46680453419685364},{"id":"https://openalex.org/C121047784","wikidata":"https://www.wikidata.org/wiki/Q7623607","display_name":"Strict-feedback form","level":5,"score":0.45714667439460754},{"id":"https://openalex.org/C177502760","wikidata":"https://www.wikidata.org/wiki/Q782524","display_name":"Automatic gain control","level":4,"score":0.4138065278530121},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36521345376968384},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.35623472929000854},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2792152762413025},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09372520446777344},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09345263242721558},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2019.2956997","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2019.2956997","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3112266009","display_name":null,"funder_award_id":"61573307","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7636437135","display_name":null,"funder_award_id":"BK20181218","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W757063362","https://openalex.org/W1546772360","https://openalex.org/W1564092506","https://openalex.org/W1964375638","https://openalex.org/W1986024064","https://openalex.org/W1999516751","https://openalex.org/W2001856902","https://openalex.org/W2002443265","https://openalex.org/W2003255436","https://openalex.org/W2010755286","https://openalex.org/W2025207313","https://openalex.org/W2036826525","https://openalex.org/W2045649918","https://openalex.org/W2053836930","https://openalex.org/W2053860764","https://openalex.org/W2058338982","https://openalex.org/W2062373349","https://openalex.org/W2090167557","https://openalex.org/W2098989671","https://openalex.org/W2109151516","https://openalex.org/W2121607663","https://openalex.org/W2122161467","https://openalex.org/W2152509212","https://openalex.org/W2155024125","https://openalex.org/W2159130301","https://openalex.org/W2163644055","https://openalex.org/W2163910870","https://openalex.org/W2206626388","https://openalex.org/W2208044302","https://openalex.org/W2326443105","https://openalex.org/W2343036750","https://openalex.org/W2364918774","https://openalex.org/W2399432257","https://openalex.org/W2503647002","https://openalex.org/W2514534586","https://openalex.org/W2522467183","https://openalex.org/W2526944561","https://openalex.org/W2554456820","https://openalex.org/W2554769866","https://openalex.org/W2557169512","https://openalex.org/W2605516885","https://openalex.org/W2614872566","https://openalex.org/W2733294185","https://openalex.org/W2765097328","https://openalex.org/W2794333866","https://openalex.org/W2797795775","https://openalex.org/W2806002822"],"related_works":["https://openalex.org/W2148743176","https://openalex.org/W3119415476","https://openalex.org/W1996651224","https://openalex.org/W1847613412","https://openalex.org/W3203146402","https://openalex.org/W2613103647","https://openalex.org/W1903028391","https://openalex.org/W2566538426","https://openalex.org/W2168487782","https://openalex.org/W2053860764"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"an":[3],"adaptive":[4],"quantized":[5],"neural":[6],"backstepping":[7],"strategy":[8],"is":[9,77,112,115,127],"investigated":[10],"for":[11,83],"a":[12,80,89],"class":[13],"of":[14,49,68],"nonlinear":[15],"systems":[16],"with":[17],"input":[18,43,57,73],"unmodeled":[19,44,58,74],"dynamics":[20,59,75],"and":[21,42,46,60,123],"output":[22,62,97,125],"constraints":[23,98],"based":[24,107],"on":[25,108],"the":[26,33,47,50,54,61,65,69,72,85,95,104,109,119,124,130],"small-gain":[27,51,86,110],"method.":[28],"A":[29],"challenge":[30],"lies":[31],"in":[32],"considered":[34],"input-quantized":[35],"actuator":[36],"possessing":[37],"both":[38],"unknown":[39],"control":[40],"gain":[41],"dynamics,":[45],"application":[48],"theorem":[52,111],"when":[53],"system":[55],"possesses":[56],"constraints.":[63],"By":[64,88],"coordinate":[66],"transformation":[67],"state":[70],"variables,":[71],"subsystem":[76],"transformed":[78],"into":[79],"suitable":[81],"form":[82],"applying":[84],"theorem.":[87],"logarithmic":[90],"one":[91,93],"to":[92],"mapping,":[94],"time-varying":[96],"are":[99,121],"tackled.":[100],"With":[101],"these":[102],"methods,":[103],"stability":[105],"proof":[106],"completed.":[113],"It":[114],"shown":[116],"that":[117],"all":[118],"signals":[120],"bounded,":[122],"signal":[126],"constrained":[128],"within":[129],"preset":[131],"range.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
