{"id":"https://openalex.org/W2964773469","doi":"https://doi.org/10.1109/tcsii.2019.2933468","title":"Variable-Gain Second-Order Sliding Mode Controller With Globally Fixed-Time Stability Guarantees","display_name":"Variable-Gain Second-Order Sliding Mode Controller With Globally Fixed-Time Stability Guarantees","publication_year":2019,"publication_date":"2019-08-06","ids":{"openalex":"https://openalex.org/W2964773469","doi":"https://doi.org/10.1109/tcsii.2019.2933468","mag":"2964773469"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2019.2933468","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2933468","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5073514932","display_name":"Shang Shi","orcid":"https://orcid.org/0000-0001-5596-9466"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shang Shi","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010340252","display_name":"Jason Gu","orcid":"https://orcid.org/0000-0002-7626-1077"},"institutions":[{"id":"https://openalex.org/I129902397","display_name":"Dalhousie University","ror":"https://ror.org/01e6qks80","country_code":"CA","type":"education","lineage":["https://openalex.org/I129902397"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jason Gu","raw_affiliation_strings":["Dalhousie University, Halifax, Canada"],"affiliations":[{"raw_affiliation_string":"Dalhousie University, Halifax, Canada","institution_ids":["https://openalex.org/I129902397"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100363679","display_name":"Shengyuan Xu","orcid":"https://orcid.org/0000-0002-3015-0662"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengyuan Xu","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014312134","display_name":"Huifang Min","orcid":"https://orcid.org/0000-0002-8015-9649"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huifang Min","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073514932"],"corresponding_institution_ids":["https://openalex.org/I36399199"],"apc_list":null,"apc_paid":null,"fwci":2.1621,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.87804918,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"67","issue":"8","first_page":"1414","last_page":"1418"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998000264167786,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9926999807357788,"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":0.9829000234603882,"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":0.7905735969543457},{"id":"https://openalex.org/keywords/settling-time","display_name":"Settling time","score":0.7732206583023071},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6072961091995239},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5588222146034241},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.52060866355896},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.4748539924621582},{"id":"https://openalex.org/keywords/variable-structure-control","display_name":"Variable structure control","score":0.4732915759086609},{"id":"https://openalex.org/keywords/inverted-pendulum","display_name":"Inverted pendulum","score":0.46575409173965454},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.46102529764175415},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.45969903469085693},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4527930021286011},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.44482243061065674},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.43816083669662476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4210154414176941},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.39257580041885376},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2679738998413086},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.15877947211265564},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14086273312568665}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7905735969543457},{"id":"https://openalex.org/C14781684","wikidata":"https://www.wikidata.org/wiki/Q3983320","display_name":"Settling time","level":3,"score":0.7732206583023071},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6072961091995239},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5588222146034241},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.52060866355896},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.4748539924621582},{"id":"https://openalex.org/C185109637","wikidata":"https://www.wikidata.org/wiki/Q7915740","display_name":"Variable structure control","level":4,"score":0.4732915759086609},{"id":"https://openalex.org/C192921069","wikidata":"https://www.wikidata.org/wiki/Q550134","display_name":"Inverted pendulum","level":3,"score":0.46575409173965454},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.46102529764175415},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.45969903469085693},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4527930021286011},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.44482243061065674},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.43816083669662476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4210154414176941},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.39257580041885376},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2679738998413086},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.15877947211265564},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14086273312568665},{"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/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},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0},{"id":"https://openalex.org/C160030872","wikidata":"https://www.wikidata.org/wiki/Q2142864","display_name":"Step response","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2019.2933468","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2933468","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G266292189","display_name":null,"funder_award_id":"30916015105","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G2741574854","display_name":null,"funder_award_id":"61703249","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/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1516289514","https://openalex.org/W1516297478","https://openalex.org/W1922505179","https://openalex.org/W1979366106","https://openalex.org/W1988837728","https://openalex.org/W1997801860","https://openalex.org/W2001793560","https://openalex.org/W2015113370","https://openalex.org/W2018851823","https://openalex.org/W2018875705","https://openalex.org/W2084279695","https://openalex.org/W2092991598","https://openalex.org/W2094924682","https://openalex.org/W2117933783","https://openalex.org/W2149540177","https://openalex.org/W2167175335","https://openalex.org/W2420367108","https://openalex.org/W2551498575","https://openalex.org/W2563369907","https://openalex.org/W2620890665","https://openalex.org/W2768926809","https://openalex.org/W2769090091","https://openalex.org/W2775852728","https://openalex.org/W2802415582","https://openalex.org/W2810089426","https://openalex.org/W2810485481","https://openalex.org/W2889457220","https://openalex.org/W2893658312","https://openalex.org/W2898014561","https://openalex.org/W2901002701","https://openalex.org/W2905754511","https://openalex.org/W2905932516","https://openalex.org/W2914841717","https://openalex.org/W2915431184","https://openalex.org/W2924036687","https://openalex.org/W2946526660","https://openalex.org/W2956381494","https://openalex.org/W4293078920"],"related_works":["https://openalex.org/W962423920","https://openalex.org/W2387968248","https://openalex.org/W2350715914","https://openalex.org/W2101175215","https://openalex.org/W2379529020","https://openalex.org/W2120821724","https://openalex.org/W2893549521","https://openalex.org/W2352322616","https://openalex.org/W1965992231","https://openalex.org/W2005096478"],"abstract_inverted_index":{"In":[0,138],"this":[1,21],"brief,":[2],"the":[3,30,43,75,84,112,119,127,147],"globally":[4,151],"fixed-time":[5,57,133,152],"control":[6,50],"problem":[7],"is":[8,83,116,142,150,159],"investigated":[9],"for":[10],"a":[11,33,99,132],"general":[12],"class":[13],"of":[14,20,32,46,86,111,129,135],"uncertain":[15],"nonlinear":[16],"systems.":[17],"The":[18,59],"novelties":[19],"brief":[22],"are":[23],"two":[24],"folds.":[25],"One":[26],"novelty":[27,82],"lies":[28],"in":[29,109,131],"propose":[31,98],"novel":[34,121],"variable-gain":[35,122],"second-order":[36],"sliding":[37,48],"mode":[38,49],"(SOSM)":[39],"controller.":[40],"It":[41,115],"overcomes":[42],"principal":[44],"shortcomings":[45],"first-order":[47],"and":[51],"makes":[52],"it":[53],"possible":[54],"to":[55,79,90,97,144,156],"achieve":[56,65,126],"stability.":[58],"conventional":[60],"SOSM":[61,123],"algorithms":[62],"can":[63,106,125],"only":[64,103],"finite-time":[66],"stability":[67],"whose":[68],"settling":[69],"time":[70],"will":[71],"grow":[72],"unboundedly":[73],"when":[74],"initial":[76,136],"conditions":[77],"tend":[78],"infinity.":[80],"Another":[81],"extension":[85],"constant":[87],"upper":[88,92],"bounds":[89],"time-varying":[91],"functions.":[93],"This":[94],"enables":[95],"us":[96],"global":[100],"result,":[101],"while":[102],"local":[104],"results":[105],"be":[107],"obtained":[108],"most":[110],"existing":[113],"literatures.":[114],"indicated":[117],"that":[118,146],"proposed":[120],"controller":[124],"establishment":[128],"SOSMs":[130],"independent":[134],"conditions.":[137],"addition,":[139],"Lyapunov":[140],"analysis":[141],"given":[143],"show":[145],"closed-loop":[148],"system":[149],"stable.":[153],"An":[154],"application":[155],"variable-length":[157],"pendulum":[158],"given.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
