{"id":"https://openalex.org/W2136654403","doi":"https://doi.org/10.1109/acc.2006.1657463","title":"A variable structure controller for a class of uncertain systems with unknown uncertainty bounding function","display_name":"A variable structure controller for a class of uncertain systems with unknown uncertainty bounding function","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2136654403","doi":"https://doi.org/10.1109/acc.2006.1657463","mag":"2136654403"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2006.1657463","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2006.1657463","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 American Control Conference","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/A5002960083","display_name":"W. Chen","orcid":"https://orcid.org/0000-0002-7618-5377"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"W. Chen","raw_affiliation_strings":["School of Engineering Science, Simon Fraser University, Vancouver, BC, Canada","Sch. of Eng. Sci., Simon Fraser Univ., Vancouver, BC#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering Science, Simon Fraser University, Vancouver, BC, Canada","institution_ids":["https://openalex.org/I18014758"]},{"raw_affiliation_string":"Sch. of Eng. Sci., Simon Fraser Univ., Vancouver, BC#TAB#","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038291093","display_name":"Mehrdad Saif","orcid":"https://orcid.org/0000-0002-7587-4189"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"M. Saif","raw_affiliation_strings":["School of Engineering Science, Simon Fraser University, Vancouver, BC, Canada","Sch. of Eng. Sci., Simon Fraser Univ., Vancouver, BC#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering Science, Simon Fraser University, Vancouver, BC, Canada","institution_ids":["https://openalex.org/I18014758"]},{"raw_affiliation_string":"Sch. of Eng. Sci., Simon Fraser Univ., Vancouver, BC#TAB#","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I18014758"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":null,"first_page":"6 pp.","last_page":"6 pp."},"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":0.9995999932289124,"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/T10791","display_name":"Advanced Control Systems Optimization","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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7862597107887268},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.7454199194908142},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.703702986240387},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6614382266998291},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5593072175979614},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5177842378616333},{"id":"https://openalex.org/keywords/open-loop-controller","display_name":"Open-loop controller","score":0.482472687959671},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4766153395175934},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4588286578655243},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.43515336513519287},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42114120721817017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4119090437889099},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33053386211395264},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15617388486862183},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.15345600247383118},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12401363253593445},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06998294591903687},{"id":"https://openalex.org/keywords/closed-loop","display_name":"Closed loop","score":0.06891399621963501},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0657537579536438}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7862597107887268},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.7454199194908142},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.703702986240387},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6614382266998291},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5593072175979614},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5177842378616333},{"id":"https://openalex.org/C161362739","wikidata":"https://www.wikidata.org/wiki/Q2301555","display_name":"Open-loop controller","level":3,"score":0.482472687959671},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4766153395175934},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4588286578655243},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.43515336513519287},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42114120721817017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4119090437889099},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33053386211395264},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15617388486862183},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.15345600247383118},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12401363253593445},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06998294591903687},{"id":"https://openalex.org/C3019251811","wikidata":"https://www.wikidata.org/wiki/Q5135346","display_name":"Closed loop","level":2,"score":0.06891399621963501},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0657537579536438},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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:10.1109/acc.2006.1657463","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2006.1657463","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7699999809265137}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2004421225","https://openalex.org/W2088611460","https://openalex.org/W2117181723","https://openalex.org/W2121512026","https://openalex.org/W2125941454","https://openalex.org/W2152569570","https://openalex.org/W2162850057","https://openalex.org/W2167397058","https://openalex.org/W2483251350"],"related_works":["https://openalex.org/W2132137594","https://openalex.org/W2069783012","https://openalex.org/W2171197263","https://openalex.org/W2085967955","https://openalex.org/W2374577476","https://openalex.org/W4256335355","https://openalex.org/W3098612666","https://openalex.org/W2138867060","https://openalex.org/W2023859141","https://openalex.org/W2182290077"],"abstract_inverted_index":{"In":[0],"designing":[1],"variable":[2,50,78,187,193,248],"structure":[3,51,64,79,188,194,249],"controllers":[4],"when":[5,245],"the":[6,11,18,59,62,67,72,81,87,92,99,103,106,132,139,155,168,191,197,206,217,225,232,240,246,259,262],"upper":[7,88,107],"bounding":[8,89],"function":[9,90],"for":[10,37,91,127,222,238],"matched":[12,44],"system":[13,143],"uncertainty":[14,93,101,241,265],"is":[15,32,53,109,113,130,154,224,242,251],"not":[16,85,110,146],"known,":[17],"controller":[19,52,63,129,133,158,250,263],"design":[20,83],"remains":[21],"to":[22,33,70,94,202,211,257],"be":[23,95,122,203,209],"a":[24,38,49,179,185,236],"challenge.":[25],"The":[26,151,219],"main":[27],"purpose":[28],"of":[29,40,61,105,118,216,227,261],"this":[30,35,47,128,223],"paper":[31],"solve":[34],"problem":[36],"class":[39],"uncertain":[41],"systems":[42,120],"with":[43,163,178],"uncertainties.":[45],"To":[46,161],"end,":[48],"proposed":[54],"whose":[55],"novelty":[56],"lies":[57],"in":[58],"form":[60],"and":[65,148,173,182,205,264],"also":[66,243],"mechanism":[68],"introduced":[69],"update":[71,171],"controller's":[73,169],"gain.":[74],"Unlike":[75],"most":[76],"existing":[77],"controllers,":[80],"new":[82],"does":[84],"require":[86],"exactly":[96],"known":[97,157],"(for":[98],"bounded":[100,204],"case,":[102],"knowledge":[104],"bound":[108],"needed).":[111],"It":[112],"proved":[114],"that":[115,131],"asymptotic":[116,228],"stability":[117],"closed-loop":[119,198],"can":[121,208],"guaranteed":[123,201],"globally.":[124],"One":[125],"drawback":[126,153],"gain":[134,170],"may":[135],"go":[136],"unbounded":[137],"if":[138],"noises":[140],"or":[141],"other":[142,152],"uncertainties":[144],"are":[145,149,200,255],"considered":[147],"present.":[150],"well":[156],"chattering":[159],"problem.":[160],"deal":[162],"these":[164],"drawbacks,":[165],"we":[166],"modify":[167],"law":[172],"replace":[174],"its":[175],"discontinuous":[176],"term":[177],"continuous":[180],"approximation,":[181],"hence":[183],"propose":[184],"modified":[186,192,247],"controller.":[189],"With":[190],"controller,":[195],"all":[196],"signals":[199],"states":[207],"driven":[210],"an":[212],"arbitrarily":[213],"small":[214],"neighborhood":[215],"origin.":[218],"price":[220],"paid":[221],"loss":[226],"stability.":[229],"Inspired":[230],"by":[231],"equivalent":[233],"control":[234],"concept,":[235],"method":[237],"estimating":[239],"derived":[244],"applied.":[252],"Simulation":[253],"examples":[254],"given":[256],"show":[258],"effectiveness":[260],"estimation":[266],"scheme":[267]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
