{"id":"https://openalex.org/W1974504225","doi":"https://doi.org/10.1109/mmar.2013.6670019","title":"Refined reaching laws for sliding mode control of discrete time systems","display_name":"Refined reaching laws for sliding mode control of discrete time systems","publication_year":2013,"publication_date":"2013-08-01","ids":{"openalex":"https://openalex.org/W1974504225","doi":"https://doi.org/10.1109/mmar.2013.6670019","mag":"1974504225"},"language":"en","primary_location":{"id":"doi:10.1109/mmar.2013.6670019","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar.2013.6670019","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 18th International Conference on Methods & Models in Automation & Robotics (MMAR)","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/A5047127211","display_name":"Andrzej Bartoszewicz","orcid":"https://orcid.org/0000-0002-1271-8488"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]},{"id":"https://openalex.org/I34250744","display_name":"University of \u0141\u00f3d\u017a","ror":"https://ror.org/05cq64r17","country_code":"PL","type":"education","lineage":["https://openalex.org/I34250744"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Andrzej Bartoszewicz","raw_affiliation_strings":["Institute of Automatic Control, Technical University of \u0141\u00f3d\u017a, \u0141\u00f3d\u017a, Poland","Inst. of Autom. Control, Tech. Univ. of Lodz, Lo\u0301dz\u0301, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, Technical University of \u0141\u00f3d\u017a, \u0141\u00f3d\u017a, Poland","institution_ids":["https://openalex.org/I34250744","https://openalex.org/I188884621"]},{"raw_affiliation_string":"Inst. of Autom. Control, Tech. Univ. of Lodz, Lo\u0301dz\u0301, Poland","institution_ids":["https://openalex.org/I34250744"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083039409","display_name":"Piotr Le\u015bniewski","orcid":"https://orcid.org/0000-0003-4131-6928"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]},{"id":"https://openalex.org/I34250744","display_name":"University of \u0141\u00f3d\u017a","ror":"https://ror.org/05cq64r17","country_code":"PL","type":"education","lineage":["https://openalex.org/I34250744"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Piotr Lesniewski","raw_affiliation_strings":["Institute of Automatic Control, Technical University of \u0141\u00f3d\u017a, \u0141\u00f3d\u017a, Poland","Inst. of Autom. Control, Tech. Univ. of Lodz, Lo\u0301dz\u0301, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, Technical University of \u0141\u00f3d\u017a, \u0141\u00f3d\u017a, Poland","institution_ids":["https://openalex.org/I34250744","https://openalex.org/I188884621"]},{"raw_affiliation_string":"Inst. of Autom. Control, Tech. Univ. of Lodz, Lo\u0301dz\u0301, Poland","institution_ids":["https://openalex.org/I34250744"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047127211"],"corresponding_institution_ids":["https://openalex.org/I188884621","https://openalex.org/I34250744"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.05853702,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"46","issue":null,"first_page":"824","last_page":"829"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9997000098228455,"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":0.9997000098228455,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.996399998664856,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9937000274658203,"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":0.7540290355682373},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.7322314381599426},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6962375044822693},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6236985325813293},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.6138979196548462},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.556713342666626},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5342698693275452},{"id":"https://openalex.org/keywords/variable-structure-control","display_name":"Variable structure control","score":0.5213274359703064},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.429382860660553},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4100460112094879},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34768158197402954},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.27822524309158325},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.23181644082069397},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10174226760864258},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09832975268363953}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7540290355682373},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.7322314381599426},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6962375044822693},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6236985325813293},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.6138979196548462},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.556713342666626},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5342698693275452},{"id":"https://openalex.org/C185109637","wikidata":"https://www.wikidata.org/wiki/Q7915740","display_name":"Variable structure control","level":4,"score":0.5213274359703064},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.429382860660553},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4100460112094879},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34768158197402954},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.27822524309158325},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.23181644082069397},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10174226760864258},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09832975268363953},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mmar.2013.6670019","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar.2013.6670019","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 18th International Conference on Methods & Models in Automation & Robotics (MMAR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8199999928474426,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W397123209","https://openalex.org/W1497280145","https://openalex.org/W1977287971","https://openalex.org/W1987057464","https://openalex.org/W1990042683","https://openalex.org/W2011412866","https://openalex.org/W2026962387","https://openalex.org/W2036691056","https://openalex.org/W2067430370","https://openalex.org/W2070884953","https://openalex.org/W2081884786","https://openalex.org/W2109717716","https://openalex.org/W2119843327","https://openalex.org/W2125036430","https://openalex.org/W2126571830","https://openalex.org/W2156734731","https://openalex.org/W2157540237","https://openalex.org/W2277517257","https://openalex.org/W2436489776","https://openalex.org/W4256152864","https://openalex.org/W4256153703","https://openalex.org/W6718166863"],"related_works":["https://openalex.org/W2374577476","https://openalex.org/W2352173564","https://openalex.org/W1845306153","https://openalex.org/W2166459078","https://openalex.org/W3008046258","https://openalex.org/W2391441277","https://openalex.org/W2306349892","https://openalex.org/W2274682661","https://openalex.org/W2786766270","https://openalex.org/W897560829"],"abstract_inverted_index":{"In":[0,54],"this":[1,45,80],"paper":[2,81,161],"we":[3,39],"consider":[4],"the":[5,10,22,35,49,57,68,72,89,98,103,130,137,145,160,174],"reaching":[6,25,46,76,112,133,163,175],"law":[7,47,77,113,134,164,176],"approach":[8],"to":[9,123],"quasi-sliding":[11,83],"mode":[12],"control":[13,108,167],"of":[14,21,34,44,71,88,144,154],"discrete":[15],"time":[16,155],"systems.":[17],"We":[18],"analyze":[19],"one":[20],"most":[23],"popular":[24],"laws":[26],"which":[27,65,169],"involves":[28],"constant":[29,138],"plus":[30,139],"proportional":[31,50,58,141],"decrease":[32,142],"rate":[33,143],"switching":[36,73,146],"variable,":[37],"and":[38,101,117,126],"propose":[40],"a":[41,63,95,150],"new":[42],"version":[43],"with":[48,121,173],"part":[51,59],"appropriately":[52],"scaled.":[53],"our":[55,162],"work":[56],"is":[60],"scaled":[61],"by":[62,136],"factor":[64],"depends":[66],"on":[67],"current":[69],"value":[70],"variable.":[74,147],"The":[75,110],"introduced":[78],"in":[79,94,105,159],"ensures":[82,165],"motion":[84],"defined":[85],"as":[86],"remaining":[87],"system":[90],"representative":[91],"point":[92],"(state)":[93],"band":[96],"around":[97],"sliding":[99],"hyperplane":[100,104],"crossing":[102],"each":[106],"successive":[107],"period.":[109],"proposed":[111,177],"guarantees":[114],"faster":[115],"convergence":[116],"offers":[118],"better":[119],"robustness":[120],"respect":[122],"external":[124],"disturbances":[125],"modeling":[127],"uncertainty":[128],"than":[129],"previously":[131],"presented":[132],"characterized":[135],"directly":[140],"Moreover,":[148],"for":[149],"practically":[151],"important":[152],"class":[153],"delay":[156],"systems":[157],"considered":[158],"bounded":[166],"signal,":[168],"cannot":[170],"be":[171],"achieved":[172],"earlier.":[178]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}