{"id":"https://openalex.org/W2570135905","doi":"https://doi.org/10.1109/cdc.2016.7799399","title":"Sampled describing function analysis of second order sliding modes","display_name":"Sampled describing function analysis of second order sliding modes","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2570135905","doi":"https://doi.org/10.1109/cdc.2016.7799399","mag":"2570135905"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7799399","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7799399","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5068035849","display_name":"Stefan Koch","orcid":"https://orcid.org/0000-0003-4221-0834"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Stefan Koch","raw_affiliation_strings":["Institute of Automation and Control, Graz University of Technology, Graz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automation and Control, Graz University of Technology, Graz, Austria","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032824476","display_name":"Markus Reichhartinger","orcid":"https://orcid.org/0000-0003-4681-9575"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Markus Reichhartinger","raw_affiliation_strings":["Institute of Automation and Control, Graz University of Technology, Graz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automation and Control, Graz University of Technology, Graz, Austria","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025122566","display_name":"Martin Horn","orcid":"https://orcid.org/0000-0002-5845-1061"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Martin Horn","raw_affiliation_strings":["Institute of Automation and Control, Graz University of Technology, Graz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automation and Control, Graz University of Technology, Graz, Austria","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"last","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":"Leonid Fridman","raw_affiliation_strings":["Departamento de Control y Rob\u00f3tica, Universidad Nacional Aut\u00f3noma de M\u00e9xico (UNAM), M\u00e9xico, D.F"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Control y Rob\u00f3tica, Universidad Nacional Aut\u00f3noma de M\u00e9xico (UNAM), M\u00e9xico, D.F","institution_ids":["https://openalex.org/I8961855"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"7318","last_page":"7324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9995999932289124,"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":0.9995999932289124,"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/T11236","display_name":"Control Systems and Identification","score":0.9984999895095825,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9983000159263611,"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/describing-function","display_name":"Describing function","score":0.7717391848564148},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6417899131774902},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6244078278541565},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6185837984085083},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5784584283828735},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5775856375694275},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5243294835090637},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.5153831243515015},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4709646999835968},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.4652225971221924},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.42483603954315186},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3973461091518402},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35633599758148193},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2421128749847412},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21163171529769897},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13689500093460083},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07782503962516785}],"concepts":[{"id":"https://openalex.org/C147317941","wikidata":"https://www.wikidata.org/wiki/Q1925419","display_name":"Describing function","level":3,"score":0.7717391848564148},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6417899131774902},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6244078278541565},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6185837984085083},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5784584283828735},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5775856375694275},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5243294835090637},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.5153831243515015},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4709646999835968},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.4652225971221924},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.42483603954315186},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3973461091518402},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35633599758148193},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2421128749847412},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21163171529769897},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13689500093460083},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07782503962516785},{"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/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},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2016.7799399","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7799399","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W245286184","https://openalex.org/W597738481","https://openalex.org/W1493509881","https://openalex.org/W1579773745","https://openalex.org/W1964201323","https://openalex.org/W2018851823","https://openalex.org/W2019341428","https://openalex.org/W2024672625","https://openalex.org/W2044378224","https://openalex.org/W2044385461","https://openalex.org/W2052930538","https://openalex.org/W2087835112","https://openalex.org/W2098498052","https://openalex.org/W2102835303","https://openalex.org/W2106099911","https://openalex.org/W2108716625","https://openalex.org/W2113766349","https://openalex.org/W2161219984","https://openalex.org/W2314649918","https://openalex.org/W2315070683","https://openalex.org/W2330885793","https://openalex.org/W2420367108","https://openalex.org/W2493828956","https://openalex.org/W2563369907","https://openalex.org/W3149194971"],"related_works":["https://openalex.org/W4388297534","https://openalex.org/W2051439117","https://openalex.org/W2564887547","https://openalex.org/W2128719156","https://openalex.org/W1673883441","https://openalex.org/W4298109871","https://openalex.org/W2048494080","https://openalex.org/W2083477739","https://openalex.org/W4248124207","https://openalex.org/W2089966216"],"abstract_inverted_index":{"The":[0,39,81],"describing":[1,26,70],"function":[2,27,71],"method":[3,41],"is":[4,37,65,72,84],"applied":[5],"to":[6,43,75],"characterize":[7],"the":[8,13,29,45,56,68],"steady":[9],"state":[10],"behavior":[11],"of":[12,28,50,60],"linear":[14],"sampled":[15],"data":[16],"systems":[17],"stabilized":[18],"by":[19,55],"a":[20,32,87,94],"second-order":[21],"sliding":[22],"mode":[23],"algorithm.":[24],"A":[25],"nonlinearity":[30],"including":[31],"sample":[33],"and":[34,48],"hold":[35],"element":[36],"derived.":[38],"proposed":[40,82],"allows":[42],"predict":[44],"amplitude,":[46],"frequency":[47],"phase":[49],"occurring":[51],"limit":[52],"cycles":[53],"caused":[54],"discrete":[57],"time":[58,79],"implementation":[59],"discontinuous":[61],"control":[62],"algorithms.":[63],"It":[64],"shown":[66],"that":[67],"derived":[69],"closely":[73],"related":[74],"its":[76],"classical":[77],"continuous":[78],"counterpart.":[80],"approach":[83],"demonstrated":[85],"using":[86],"numerical":[88],"simulation":[89],"example":[90],"as":[91,93],"well":[92],"real":[95],"world":[96],"experiment.":[97]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
