{"id":"https://openalex.org/W2108716839","doi":"https://doi.org/10.1109/cdc.2010.5717357","title":"Chattering analysis of time-delayed second-order sliding mode control systems using Poincaré map","display_name":"Chattering analysis of time-delayed second-order sliding mode control systems using Poincaré map","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2108716839","doi":"https://doi.org/10.1109/cdc.2010.5717357","mag":"2108716839"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717357","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717357","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","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":"https://openalex.org/A5033043187","display_name":"Xiangjun Li","orcid":"https://orcid.org/0000-0003-4996-1593"},"institutions":[{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Xiangjun Li","raw_affiliation_strings":["School of Electrical and Computer Engineering, RMIT University, Melbourne, VIC, Australia","School of Electrical and Computer Engineering, RMIT University, Melbourne VIC 3001, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, RMIT University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I82951845"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, RMIT University, Melbourne VIC 3001, Australia","institution_ids":["https://openalex.org/I82951845"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070195520","display_name":"Xinghuo Yu","orcid":"https://orcid.org/0000-0001-8093-9787"},"institutions":[{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Xinghuo Yu","raw_affiliation_strings":["School of Electrical and Computer Engineering, RMIT University, Melbourne, VIC, Australia","School of Electrical and Computer Engineering, RMIT University, Melbourne VIC 3001, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, RMIT University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I82951845"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, RMIT University, Melbourne VIC 3001, Australia","institution_ids":["https://openalex.org/I82951845"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083874423","display_name":"Qing\u2010Long Han","orcid":"https://orcid.org/0000-0002-7207-0716"},"institutions":[{"id":"https://openalex.org/I74899385","display_name":"Central Queensland University","ror":"https://ror.org/023q4bk22","country_code":"AU","type":"education","lineage":["https://openalex.org/I74899385"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Qinglong Han","raw_affiliation_strings":["Faculty of Arts, Business, Informatics and Education, Central Queensland University, Rockhampton, QLD, Australia","Faculty of Arts, Business, Informatics and Education, Central Queensland University, Rockhampton, QLD 4702, Australia"],"affiliations":[{"raw_affiliation_string":"Faculty of Arts, Business, Informatics and Education, Central Queensland University, Rockhampton, QLD, Australia","institution_ids":["https://openalex.org/I74899385"]},{"raw_affiliation_string":"Faculty of Arts, Business, Informatics and Education, Central Queensland University, Rockhampton, QLD 4702, Australia","institution_ids":["https://openalex.org/I74899385"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033043187"],"corresponding_institution_ids":["https://openalex.org/I82951845"],"apc_list":null,"apc_paid":null,"fwci":0.7226,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78392294,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"5144","last_page":"5149"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","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/T10046","display_name":"Stability and Control of Uncertain Systems","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/T10040","display_name":"Adaptive Control of Nonlinear 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/T10244","display_name":"Chaos control and synchronization","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7704802751541138},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7452964782714844},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6702460050582886},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.6341572999954224},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.5726142525672913},{"id":"https://openalex.org/keywords/poincar\u00e9-map","display_name":"Poincar\u00e9 map","score":0.546991229057312},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.5335313081741333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4821740984916687},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.45441967248916626},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4312842786312103},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3773297965526581},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36040639877319336},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3453167676925659},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.30016010999679565},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25428086519241333},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2160293161869049},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1586695909500122},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.10663682222366333},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06817129254341125}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7704802751541138},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7452964782714844},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6702460050582886},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.6341572999954224},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.5726142525672913},{"id":"https://openalex.org/C21955772","wikidata":"https://www.wikidata.org/wiki/Q339199","display_name":"Poincar\u00e9 map","level":4,"score":0.546991229057312},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.5335313081741333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4821740984916687},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.45441967248916626},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4312842786312103},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3773297965526581},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36040639877319336},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3453167676925659},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.30016010999679565},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25428086519241333},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2160293161869049},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1586695909500122},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.10663682222366333},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06817129254341125},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2010.5717357","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717357","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:alma61RMIT.INST:11246677600001341","is_oa":false,"landing_page_url":"https://researchrepository.rmit.edu.au/esploro/outputs/conferenceProceeding/Chattering-analysis-of-time-delayed-second-order-sliding/9921858547101341","pdf_url":null,"source":{"id":"https://openalex.org/S4306402074","display_name":"RMIT Research Repository (RMIT University Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82951845","host_organization_name":"RMIT University","host_organization_lineage":["https://openalex.org/I82951845"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1509463226","https://openalex.org/W1516447630","https://openalex.org/W1544590271","https://openalex.org/W1783379214","https://openalex.org/W1970754830","https://openalex.org/W1988098342","https://openalex.org/W2002116864","https://openalex.org/W2035501838","https://openalex.org/W2089161570","https://openalex.org/W2095965531","https://openalex.org/W2111018365","https://openalex.org/W2141665837","https://openalex.org/W2145921884","https://openalex.org/W2150137810","https://openalex.org/W2152520525","https://openalex.org/W2265937691","https://openalex.org/W2799197317","https://openalex.org/W4256152864","https://openalex.org/W4256153703","https://openalex.org/W4293079218","https://openalex.org/W6632551027","https://openalex.org/W6638035278","https://openalex.org/W6642818784"],"related_works":["https://openalex.org/W1497574263","https://openalex.org/W4400611411","https://openalex.org/W2042735075","https://openalex.org/W2165291744","https://openalex.org/W2376611279","https://openalex.org/W1536571546","https://openalex.org/W2754776980","https://openalex.org/W2066959861","https://openalex.org/W2032642938","https://openalex.org/W3216696485"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"chattering":[3],"in":[4],"a":[5],"time-delayed":[6],"second":[7],"order":[8],"sliding":[9],"mode":[10],"control":[11],"(2-SMC)":[12],"system":[13,24],"is":[14,28],"analyzed":[15],"using":[16],"the":[17,23,40,50],"Poincar\u00e9":[18],"map":[19],"method.":[20],"Convergence":[21],"of":[22,39],"under":[25],"arbitrary":[26],"time-delay":[27],"proved.":[29],"The":[30,35],"switching":[31],"patterns":[32],"are":[33,43,46],"explored.":[34],"existence":[36],"and":[37],"uniqueness":[38],"periodic":[41],"orbit":[42],"shown.":[44],"Simulations":[45],"done":[47],"to":[48],"support":[49],"theoretical":[51],"results.":[52]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}