{"id":"https://openalex.org/W2994037195","doi":"https://doi.org/10.1109/tcsii.2019.2957271","title":"Implicit-Euler Implementation of Super-Twisting Observer and Twisting Controller for Second-Order Systems","display_name":"Implicit-Euler Implementation of Super-Twisting Observer and Twisting Controller for Second-Order Systems","publication_year":2019,"publication_date":"2019-12-03","ids":{"openalex":"https://openalex.org/W2994037195","doi":"https://doi.org/10.1109/tcsii.2019.2957271","mag":"2994037195"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2019.2957271","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2957271","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/A5038784686","display_name":"Xiaogang Xiong","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaogang Xiong","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Harbin Institute of Technology (Shenzhen), Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Harbin Institute of Technology (Shenzhen), Shenzhen, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057532710","display_name":"Ryo Kikuuwe","orcid":"https://orcid.org/0000-0002-1500-6777"},"institutions":[{"id":"https://openalex.org/I113306721","display_name":"Hiroshima University","ror":"https://ror.org/03t78wx29","country_code":"JP","type":"education","lineage":["https://openalex.org/I113306721"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ryo Kikuuwe","raw_affiliation_strings":["Department of Mechanical Systems Engineering, Graduate School of Engineering, Hiroshima University, Hiroshima, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Systems Engineering, Graduate School of Engineering, Hiroshima University, Hiroshima, Japan","institution_ids":["https://openalex.org/I113306721"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071068482","display_name":"Shyam Kamal","orcid":"https://orcid.org/0000-0001-7476-989X"},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shyam Kamal","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology (BHU), Varanasi, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology (BHU), Varanasi, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041878388","display_name":"Shanhai Jin","orcid":"https://orcid.org/0000-0002-6211-1385"},"institutions":[{"id":"https://openalex.org/I1793135","display_name":"Yanbian University","ror":"https://ror.org/039xnh269","country_code":"CN","type":"education","lineage":["https://openalex.org/I1793135"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shanhai Jin","raw_affiliation_strings":["Department of Mechanical Engineering, School of Engineering, Yanbian University, Yanbian, China"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, School of Engineering, Yanbian University, Yanbian, China","institution_ids":["https://openalex.org/I1793135"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5038784686"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":5.7147,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.9660434,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"67","issue":"11","first_page":"2607","last_page":"2611"},"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":0.9843999743461609,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9801999926567078,"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/discretization","display_name":"Discretization","score":0.8315095901489258},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7537664175033569},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.7280902862548828},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7141392230987549},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.6710102558135986},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6449761986732483},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5393585562705994},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.520130455493927},{"id":"https://openalex.org/keywords/euler-method","display_name":"Euler method","score":0.5031911730766296},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.4815123975276947},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4635099470615387},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4470870792865753},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4153566360473633},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21078944206237793},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12610185146331787},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09734290838241577},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07498103380203247},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06182736158370972}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8315095901489258},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7537664175033569},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.7280902862548828},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7141392230987549},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.6710102558135986},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6449761986732483},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5393585562705994},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.520130455493927},{"id":"https://openalex.org/C75380026","wikidata":"https://www.wikidata.org/wiki/Q868454","display_name":"Euler method","level":3,"score":0.5031911730766296},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.4815123975276947},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4635099470615387},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4470870792865753},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4153566360473633},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21078944206237793},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12610185146331787},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09734290838241577},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07498103380203247},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06182736158370972},{"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/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/tcsii.2019.2957271","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2957271","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":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.4399999976158142}],"awards":[{"id":"https://openalex.org/G4894085238","display_name":null,"funder_award_id":"61963035","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8307438544","display_name":null,"funder_award_id":"11702073","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1966704730","https://openalex.org/W2001793560","https://openalex.org/W2018851823","https://openalex.org/W2031945217","https://openalex.org/W2038195066","https://openalex.org/W2072228620","https://openalex.org/W2085960888","https://openalex.org/W2119936308","https://openalex.org/W2182480926","https://openalex.org/W2278918481","https://openalex.org/W2343218201","https://openalex.org/W2345035396","https://openalex.org/W2467071607","https://openalex.org/W2482451563","https://openalex.org/W2520969885","https://openalex.org/W2599070313","https://openalex.org/W2605061119","https://openalex.org/W2809898024","https://openalex.org/W2889707194"],"related_works":["https://openalex.org/W2089955609","https://openalex.org/W2189596786","https://openalex.org/W2039299714","https://openalex.org/W2466040413","https://openalex.org/W4382053489","https://openalex.org/W2378504881","https://openalex.org/W2375749791","https://openalex.org/W4383710307","https://openalex.org/W2276868677","https://openalex.org/W2357986411"],"abstract_inverted_index":{"This":[0],"brief":[1],"proposes":[2],"new":[3],"discrete-time":[4],"algorithms":[5,21],"of":[6,34,37,41,75],"the":[7,11,25,32,42,58,62,73],"super-twisting":[8],"observer":[9],"and":[10,69],"twisting":[12,44],"controller":[13,45],"to":[14,17,31,54],"be":[15],"applied":[16],"second-order":[18],"systems.":[19],"The":[20],"are":[22,46],"based":[23],"on":[24],"full":[26],"implicit-Euler":[27],"discretization,":[28],"which":[29],"contributes":[30],"elimination":[33],"chattering.":[35],"Proofs":[36],"some":[38],"stability":[39],"properties":[40],"discretized":[43],"also":[47],"provided.":[48],"Simulations":[49],"show":[50],"that,":[51],"as":[52],"compared":[53],"traditional":[55],"explicit-Euler":[56],"schemes,":[57],"proposed":[59],"scheme":[60],"avoids":[61],"chattering":[63],"both":[64],"in":[65,72],"trajectory":[66],"tracking":[67],"output":[68],"control":[70],"input":[71],"presence":[74],"external":[76],"disturbances.":[77]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":12}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}