{"id":"https://openalex.org/W1599867663","doi":"https://doi.org/10.23919/ecc.2001.7076043","title":"Higher order sliding modes and arbitrary-order exact robust differentiation","display_name":"Higher order sliding modes and arbitrary-order exact robust differentiation","publication_year":2001,"publication_date":"2001-09-01","ids":{"openalex":"https://openalex.org/W1599867663","doi":"https://doi.org/10.23919/ecc.2001.7076043","mag":"1599867663"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2001.7076043","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2001.7076043","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2001 European Control Conference (ECC)","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/A5053643038","display_name":"Arie Levant","orcid":"https://orcid.org/0000-0002-7683-7128"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"A. Levant","raw_affiliation_strings":["Institute for Industrial Mathematics, Beer-Sheva, Israel","Institute for Industrial Mathematics, 4/24 Yehuda Ha-Nachtom St., Beer-Sheva 84311, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Industrial Mathematics, Beer-Sheva, Israel","institution_ids":[]},{"raw_affiliation_string":"Institute for Industrial Mathematics, 4/24 Yehuda Ha-Nachtom St., Beer-Sheva 84311, Israel","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5053643038"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.4729,"has_fulltext":false,"cited_by_count":80,"citation_normalized_percentile":{"value":0.99214317,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"996","last_page":"1001"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":1.0,"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":1.0,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9973999857902527,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9970999956130981,"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/differentiator","display_name":"Differentiator","score":0.9277885556221008},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7892916202545166},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5197336673736572},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5052712559700012},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.47582343220710754},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44276097416877747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43975886702537537},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.358109712600708},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.34102290868759155},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2206050455570221},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10320469737052917},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.08678588271141052}],"concepts":[{"id":"https://openalex.org/C12112733","wikidata":"https://www.wikidata.org/wiki/Q2659948","display_name":"Differentiator","level":3,"score":0.9277885556221008},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7892916202545166},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5197336673736572},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5052712559700012},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.47582343220710754},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44276097416877747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43975886702537537},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.358109712600708},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.34102290868759155},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2206050455570221},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10320469737052917},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.08678588271141052},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc.2001.7076043","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2001.7076043","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2001 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.218.5631","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.218.5631","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.bgu.ac.il/~levant/ecc01_levant.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6700000166893005,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W361776519","https://openalex.org/W1495927662","https://openalex.org/W1592648094","https://openalex.org/W2018851823","https://openalex.org/W2026934413","https://openalex.org/W2030959268","https://openalex.org/W2080688746","https://openalex.org/W2101889122","https://openalex.org/W2108716625","https://openalex.org/W2113766349","https://openalex.org/W2133361850","https://openalex.org/W2265937691","https://openalex.org/W2592944374"],"related_works":["https://openalex.org/W2371530940","https://openalex.org/W1560887869","https://openalex.org/W2029024449","https://openalex.org/W2109780951","https://openalex.org/W1994327371","https://openalex.org/W2999866270","https://openalex.org/W1641778210","https://openalex.org/W2064008010","https://openalex.org/W2106049106","https://openalex.org/W2290093068"],"abstract_inverted_index":{"An":[0],"arbitrary-order":[1],"finite-time-convergent":[2],"exact":[3,59],"robust":[4],"differentiator":[5],"is":[6,87],"constructed":[7],"based":[8],"on":[9],"higher-order":[10],"sliding":[11],"mode":[12],"(HOSM)":[13],"technique.":[14],"Being":[15],"used":[16],"in":[17,32,54],"a":[18,28],"feedback":[19],"together":[20],"with":[21,48,78],"previously":[22],"proposed":[23],"HOSM":[24],"controllers,":[25],"it":[26],"produces":[27],"universal":[29],"controller,":[30],"formulated":[31],"input-output":[33],"terms":[34],"only,":[35],"which":[36],"causes":[37],"the":[38,81],"output":[39],"of":[40,61],"any":[41],"uncertain":[42],"smooth":[43,64],"SISO":[44],"minimum-phase":[45],"dynamic":[46],"system":[47],"known":[49],"relative":[50],"degree":[51],"to":[52,80,88],"vanish":[53],"finite":[55],"time.":[56],"That":[57],"allows":[58],"tracking":[60],"arbitrary":[62],"real-time":[63],"signals.":[65],"The":[66],"control":[67],"can":[68],"be":[69,89],"made":[70],"arbitrarily":[71],"smooth,":[72],"providing":[73],"for":[74],"arbitrarily-high":[75],"tracking-accuracy":[76],"order":[77],"respect":[79],"sampling":[82],"step.":[83],"Only":[84],"one":[85],"parameter":[86],"tuned.":[90]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}