{"id":"https://openalex.org/W4297983996","doi":"https://doi.org/10.1109/vss57184.2022.9901559","title":"Optimal Sliding Mode Control with Predefined Upper Bound of Settling Time","display_name":"Optimal Sliding Mode Control with Predefined Upper Bound of Settling Time","publication_year":2022,"publication_date":"2022-09-11","ids":{"openalex":"https://openalex.org/W4297983996","doi":"https://doi.org/10.1109/vss57184.2022.9901559"},"language":"en","primary_location":{"id":"doi:10.1109/vss57184.2022.9901559","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vss57184.2022.9901559","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 16th International Workshop on Variable Structure Systems (VSS)","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/A5070742181","display_name":"Vijay Kumar Singh","orcid":"https://orcid.org/0000-0001-5056-5163"},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289","https://openalex.org/I91357014"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vijay Kumar Singh","raw_affiliation_strings":["IIT(BHU),Department of Electrical Engineering,Varanasi,India","Department of Electrical Engineering, IIT(BHU), Varanasi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IIT(BHU),Department of Electrical Engineering,Varanasi,India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]},{"raw_affiliation_string":"Department of Electrical Engineering, IIT(BHU), Varanasi, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043243305","display_name":"Parijat Prasun","orcid":"https://orcid.org/0009-0006-5410-9361"},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289","https://openalex.org/I91357014"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Parijat Prasun","raw_affiliation_strings":["IIT(BHU),Department of Electrical Engineering,Varanasi,India","Department of Electrical Engineering, IIT(BHU), Varanasi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IIT(BHU),Department of Electrical Engineering,Varanasi,India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]},{"raw_affiliation_string":"Department of Electrical Engineering, IIT(BHU), Varanasi, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070383713","display_name":"Kallol Chatterjee","orcid":null},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289","https://openalex.org/I91357014"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Kallol Chatterjee","raw_affiliation_strings":["IIT(BHU),Department of Electrical Engineering,Varanasi,India","Department of Electrical Engineering, IIT(BHU), Varanasi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IIT(BHU),Department of Electrical Engineering,Varanasi,India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]},{"raw_affiliation_string":"Department of Electrical Engineering, IIT(BHU), Varanasi, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071068482","display_name":"Shyam Kamal","orcid":"https://orcid.org/0000-0001-7476-989X"},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289","https://openalex.org/I91357014"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shyam Kamal","raw_affiliation_strings":["IIT(BHU),Department of Electrical Engineering,Varanasi,India","Department of Electrical Engineering, IIT(BHU), Varanasi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IIT(BHU),Department of Electrical Engineering,Varanasi,India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]},{"raw_affiliation_string":"Department of Electrical Engineering, IIT(BHU), Varanasi, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016475359","display_name":"Sandip Ghosh","orcid":"https://orcid.org/0000-0002-5401-3128"},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289","https://openalex.org/I91357014"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sandip Ghosh","raw_affiliation_strings":["IIT(BHU),Department of Electrical Engineering,Varanasi,India","Department of Electrical Engineering, IIT(BHU), Varanasi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IIT(BHU),Department of Electrical Engineering,Varanasi,India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]},{"raw_affiliation_string":"Department of Electrical Engineering, IIT(BHU), Varanasi, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070826172","display_name":"B. Bandyopadhyay","orcid":"https://orcid.org/0000-0003-1255-0352"},"institutions":[{"id":"https://openalex.org/I154549908","display_name":"Indian Institute of Technology Jodhpur","ror":"https://ror.org/03yacj906","country_code":"IN","type":"education","lineage":["https://openalex.org/I154549908"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Bijnan Bandyopadhyay","raw_affiliation_strings":["IIT,Department of Electrical Engineering,Jodhpur,India","Department of Electrical Engineering, IIT, Jodhpur, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IIT,Department of Electrical Engineering,Jodhpur,India","institution_ids":["https://openalex.org/I154549908"]},{"raw_affiliation_string":"Department of Electrical Engineering, IIT, Jodhpur, India","institution_ids":["https://openalex.org/I154549908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6068,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.66341641,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"260","last_page":"265"},"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":0.9955999851226807,"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":0.9869999885559082,"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":0.8033760786056519},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.7394745945930481},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7120171189308167},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.687705397605896},{"id":"https://openalex.org/keywords/settling-time","display_name":"Settling time","score":0.6676235795021057},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6299206614494324},{"id":"https://openalex.org/keywords/integral-sliding-mode","display_name":"Integral sliding mode","score":0.610816478729248},{"id":"https://openalex.org/keywords/hamilton\u2013jacobi\u2013bellman-equation","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","score":0.6056305170059204},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6034907698631287},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5340572595596313},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5233808755874634},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.48670247197151184},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.43476688861846924},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36914384365081787},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3616560101509094},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2991487979888916},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18092083930969238},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13215842843055725},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.09327590465545654},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07661643624305725}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8033760786056519},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.7394745945930481},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7120171189308167},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.687705397605896},{"id":"https://openalex.org/C14781684","wikidata":"https://www.wikidata.org/wiki/Q3983320","display_name":"Settling time","level":3,"score":0.6676235795021057},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6299206614494324},{"id":"https://openalex.org/C2778132902","wikidata":"https://www.wikidata.org/wiki/Q6042725","display_name":"Integral sliding mode","level":4,"score":0.610816478729248},{"id":"https://openalex.org/C196978813","wikidata":"https://www.wikidata.org/wiki/Q3302775","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","level":3,"score":0.6056305170059204},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6034907698631287},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5340572595596313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5233808755874634},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.48670247197151184},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.43476688861846924},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36914384365081787},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3616560101509094},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2991487979888916},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18092083930969238},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13215842843055725},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.09327590465545654},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07661643624305725},{"id":"https://openalex.org/C160030872","wikidata":"https://www.wikidata.org/wiki/Q2142864","display_name":"Step response","level":2,"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/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/vss57184.2022.9901559","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vss57184.2022.9901559","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 16th International Workshop on Variable Structure Systems (VSS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1516289514","https://openalex.org/W1537842733","https://openalex.org/W1539574883","https://openalex.org/W1960613717","https://openalex.org/W1966218886","https://openalex.org/W1988837728","https://openalex.org/W1997433565","https://openalex.org/W2005970795","https://openalex.org/W2009547761","https://openalex.org/W2010699465","https://openalex.org/W2012369340","https://openalex.org/W2015113370","https://openalex.org/W2017999841","https://openalex.org/W2021718385","https://openalex.org/W2027214297","https://openalex.org/W2060625740","https://openalex.org/W2094087018","https://openalex.org/W2097280364","https://openalex.org/W2109717716","https://openalex.org/W2117720616","https://openalex.org/W2120586752","https://openalex.org/W2147610702","https://openalex.org/W2157791423","https://openalex.org/W2161101904","https://openalex.org/W2309350575","https://openalex.org/W2420367108","https://openalex.org/W2732330082","https://openalex.org/W2738417046","https://openalex.org/W2905522285","https://openalex.org/W2957507693","https://openalex.org/W2970900801","https://openalex.org/W2990668594","https://openalex.org/W3186624155","https://openalex.org/W3213604057","https://openalex.org/W6632424199","https://openalex.org/W6691078104"],"related_works":["https://openalex.org/W2032834442","https://openalex.org/W3153900688","https://openalex.org/W2115544975","https://openalex.org/W2902017027","https://openalex.org/W1654696814","https://openalex.org/W4291598237","https://openalex.org/W2766998270","https://openalex.org/W4292330635","https://openalex.org/W3168988147","https://openalex.org/W4239477580"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"optimal":[3,61],"sliding":[4,54],"mode":[5,55],"control":[6,56,63],"with":[7,59,84],"a":[8,30,35,85,89],"predefined":[9],"upper":[10],"bound":[11],"of":[12,73,78,88],"settling":[13],"time":[14],"(PUBST)":[15],"for":[16,24,42],"stabilizing":[17],"uncertain":[18],"nonlinear":[19],"dynamical":[20],"systems.":[21],"Sufficient":[22],"conditions":[23],"optimality":[25,44],"are":[26],"given,":[27],"which":[28],"involve":[29],"Lyapunov":[31],"function":[32],"that":[33],"satisfies":[34,47],"certain":[36],"differential":[37],"inequality":[38],"guaranteeing":[39,43],"PUBST.":[40],"Further,":[41],"it":[45],"also":[46],"the":[48,60,66,70,79],"Hamilton-Jacobi-Bellman":[49],"equation.":[50],"Moreover,":[51],"an":[52],"integral":[53],"is":[57,82],"integrated":[58],"PUBST":[62],"to":[64,69],"make":[65],"system":[67],"insensitive":[68],"matched":[71],"type":[72],"bounded":[74],"perturbations.":[75],"The":[76],"validity":[77],"proposed":[80],"method":[81],"demonstrated":[83],"practical":[86],"example":[87],"rigid":[90],"body":[91],"aircraft":[92],"system.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
