{"id":"https://openalex.org/W2161036554","doi":"https://doi.org/10.23919/acc.2004.1383675","title":"Analysis of steady state behavior of second order sliding mode algorithms","display_name":"Analysis of steady state behavior of second order sliding mode algorithms","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2161036554","doi":"https://doi.org/10.23919/acc.2004.1383675","mag":"2161036554"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2004.1383675","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2004.1383675","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2004 American Control Conference","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/A5000233046","display_name":"Igor Boiko","orcid":"https://orcid.org/0000-0003-4978-614X"},"institutions":[{"id":"https://openalex.org/I2802429487","display_name":"SNC-Lavalin (Canada)","ror":"https://ror.org/03k1gyh28","country_code":"CA","type":"company","lineage":["https://openalex.org/I2802429487"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"I. Boiko","raw_affiliation_strings":["SNC Lavalin, Calgary, AB, Canada"],"affiliations":[{"raw_affiliation_string":"SNC Lavalin, Calgary, AB, Canada","institution_ids":["https://openalex.org/I2802429487"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032593897","display_name":"Leonid Fridman","orcid":"https://orcid.org/0000-0003-0208-3615"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"L. Fridman","raw_affiliation_strings":["Univenidad Nacional Aut\u00f3noma de M\u00e9xico, AM, Facultad de Ingenieria, Ciudad Universitaria, Mexicali, Mexico"],"affiliations":[{"raw_affiliation_string":"Univenidad Nacional Aut\u00f3noma de M\u00e9xico, AM, Facultad de Ingenieria, Ciudad Universitaria, Mexicali, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060076255","display_name":"Rafael Iriarte","orcid":"https://orcid.org/0000-0002-0137-3816"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"R. Iriarte","raw_affiliation_strings":["Univenidad Nacional Aut\u00f3noma de M\u00e9xico, AM, Facultad de Ingenieria, Ciudad Universitaria, Mexicali, Mexico"],"affiliations":[{"raw_affiliation_string":"Univenidad Nacional Aut\u00f3noma de M\u00e9xico, AM, Facultad de Ingenieria, Ciudad Universitaria, Mexicali, Mexico","institution_ids":["https://openalex.org/I8961855"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000233046"],"corresponding_institution_ids":["https://openalex.org/I2802429487"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.12450501,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"632","last_page":"637 vol.1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9994999766349792,"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":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.7304958701133728},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.7135031223297119},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.6132127642631531},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.6093734502792358},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.5667352080345154},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5112674236297607},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5053165555000305},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.48558753728866577},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4659978151321411},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.4525652229785919},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4523705542087555},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.44391727447509766},{"id":"https://openalex.org/keywords/periodic-function","display_name":"Periodic function","score":0.4173491895198822},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.4161704182624817},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28646838665008545},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18702757358551025},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13477012515068054},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12246939539909363},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08950293064117432},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08867350220680237},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.07550475001335144}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7304958701133728},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.7135031223297119},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.6132127642631531},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.6093734502792358},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.5667352080345154},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5112674236297607},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5053165555000305},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.48558753728866577},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4659978151321411},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.4525652229785919},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4523705542087555},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.44391727447509766},{"id":"https://openalex.org/C98644592","wikidata":"https://www.wikidata.org/wiki/Q184743","display_name":"Periodic function","level":2,"score":0.4173491895198822},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.4161704182624817},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28646838665008545},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18702757358551025},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13477012515068054},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12246939539909363},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08950293064117432},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08867350220680237},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.07550475001335144},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","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/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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc.2004.1383675","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2004.1383675","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2004 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W159604569","https://openalex.org/W585465338","https://openalex.org/W2003587649","https://openalex.org/W2018851823","https://openalex.org/W2050205901","https://openalex.org/W2140798601","https://openalex.org/W2150137810","https://openalex.org/W2168245063","https://openalex.org/W2265937691","https://openalex.org/W2320109210","https://openalex.org/W2592944374"],"related_works":["https://openalex.org/W2782295999","https://openalex.org/W2162306796","https://openalex.org/W1970292246","https://openalex.org/W2016162169","https://openalex.org/W4247952185","https://openalex.org/W1895367623","https://openalex.org/W1642462315","https://openalex.org/W2015118744","https://openalex.org/W2005619368","https://openalex.org/W1879092539"],"abstract_inverted_index":{"An":[0],"analysis":[1],"of":[2,26,38,50],"a":[3,46],"second":[4],"order":[5,67],"sliding":[6,68,78],"mode":[7,69,79],"algorithm,":[8,15],"which":[9],"is":[10,16,32,83],"known":[11],"as":[12],"the":[13,20,24,27,36,41,59,63,72],"super-twisting":[14],"carried":[17],"out":[18],"in":[19,35,62,76],"frequency":[21],"domain":[22],"with":[23,65,81],"use":[25],"describing":[28],"function":[29],"method.":[30],"It":[31],"shown":[33],"that":[34,74],"presence":[37],"an":[39],"actuator,":[40],"transient":[42],"process":[43],"converges":[44],"to":[45],"periodic":[47,52,60],"motion.":[48],"Parameters":[49],"this":[51],"motion":[53],"are":[54],"analyzed.":[55],"A":[56],"comparison":[57],"between":[58],"solutions":[61],"systems":[64,80],"higher":[66],"controllers":[70],"and":[71],"oscillations":[73],"occur":[75],"classical":[77],"actuators":[82],"done.":[84]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}