{"id":"https://openalex.org/W3091389343","doi":"https://doi.org/10.1109/ccta41146.2020.9206398","title":"Backstepping-Induced Terminal Sliding Mode Control with Strict Lyapunov Function","display_name":"Backstepping-Induced Terminal Sliding Mode Control with Strict Lyapunov Function","publication_year":2020,"publication_date":"2020-08-01","ids":{"openalex":"https://openalex.org/W3091389343","doi":"https://doi.org/10.1109/ccta41146.2020.9206398","mag":"3091389343"},"language":"en","primary_location":{"id":"doi:10.1109/ccta41146.2020.9206398","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ccta41146.2020.9206398","pdf_url":null,"source":{"id":"https://openalex.org/S4306498667","display_name":"2020 IEEE Conference on Control Technology and Applications (CCTA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE Conference on Control Technology and Applications (CCTA)","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/A5086322634","display_name":"Lars Watermann","orcid":"https://orcid.org/0009-0008-6531-3215"},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lars Watermann","raw_affiliation_strings":["Control Engineering Group, Technische Universit\u00e4t Ilmenau, P.O. Box 100565,98684, Ilmenau, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control Engineering Group, Technische Universit\u00e4t Ilmenau, P.O. Box 100565,98684, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088190168","display_name":"Johann Reger","orcid":"https://orcid.org/0000-0002-6756-0008"},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Johann Reger","raw_affiliation_strings":["Control Engineering Group, Technische Universit\u00e4t Ilmenau, P.O. Box 100565,98684, Ilmenau, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control Engineering Group, Technische Universit\u00e4t Ilmenau, P.O. Box 100565,98684, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]}]},{"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/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Bijnan Bandyopadhyay","raw_affiliation_strings":["Interdisciplinary Program in Systems and Control Engineering, Indian Institute of Technology Bombay, Mumbai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Interdisciplinary Program in Systems and Control Engineering, Indian Institute of Technology Bombay, Mumbai, India","institution_ids":["https://openalex.org/I162827531"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19688423,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"39","issue":null,"first_page":"851","last_page":"856"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9958999752998352,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9958999752998352,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9941999912261963,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9934999942779541,"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/backstepping","display_name":"Backstepping","score":0.9290128946304321},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7819704413414001},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.764167070388794},{"id":"https://openalex.org/keywords/terminal-sliding-mode","display_name":"Terminal sliding mode","score":0.636927604675293},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.6067845225334167},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5949224829673767},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.5815244913101196},{"id":"https://openalex.org/keywords/control-lyapunov-function","display_name":"Control-Lyapunov function","score":0.5804595947265625},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44744497537612915},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.43998491764068604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4349074959754944},{"id":"https://openalex.org/keywords/third-order","display_name":"Third order","score":0.42799222469329834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4048302471637726},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.39828941226005554},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.29076823592185974},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.29056158661842346},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12731888890266418},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08988264203071594},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06159135699272156}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.9290128946304321},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7819704413414001},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.764167070388794},{"id":"https://openalex.org/C2777539142","wikidata":"https://www.wikidata.org/wiki/Q7702746","display_name":"Terminal sliding mode","level":4,"score":0.636927604675293},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.6067845225334167},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5949224829673767},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.5815244913101196},{"id":"https://openalex.org/C201030206","wikidata":"https://www.wikidata.org/wiki/Q5165805","display_name":"Control-Lyapunov function","level":5,"score":0.5804595947265625},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44744497537612915},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.43998491764068604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4349074959754944},{"id":"https://openalex.org/C2777566824","wikidata":"https://www.wikidata.org/wiki/Q1259252","display_name":"Third order","level":2,"score":0.42799222469329834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4048302471637726},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.39828941226005554},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.29076823592185974},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.29056158661842346},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12731888890266418},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08988264203071594},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06159135699272156},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ccta41146.2020.9206398","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ccta41146.2020.9206398","pdf_url":null,"source":{"id":"https://openalex.org/S4306498667","display_name":"2020 IEEE Conference on Control Technology and Applications (CCTA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE Conference on Control Technology and Applications (CCTA)","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":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1489427542","https://openalex.org/W1574164135","https://openalex.org/W1901275660","https://openalex.org/W1988367613","https://openalex.org/W2004290356","https://openalex.org/W2024943756","https://openalex.org/W2029700848","https://openalex.org/W2030933953","https://openalex.org/W2090167557","https://openalex.org/W2090956093","https://openalex.org/W2116983883","https://openalex.org/W2128674205","https://openalex.org/W2136885736","https://openalex.org/W2139466385","https://openalex.org/W2162595571","https://openalex.org/W2600696923","https://openalex.org/W2617572798","https://openalex.org/W6658241192","https://openalex.org/W6679069296"],"related_works":["https://openalex.org/W3217133416","https://openalex.org/W2349796700","https://openalex.org/W2955646083","https://openalex.org/W1970635650","https://openalex.org/W2475132469","https://openalex.org/W2314968026","https://openalex.org/W1976574339","https://openalex.org/W4237316100","https://openalex.org/W2907038991","https://openalex.org/W4396237395"],"abstract_inverted_index":{"In":[0],"this":[1,90],"paper":[2],"a":[3,23,57],"different":[4],"view":[5],"on":[6],"the":[7,29,42,63,68,81,93,103],"classical":[8,69],"Terminal":[9],"Sliding":[10],"Mode":[11],"(TSM)":[12],"control":[13,26,71,87,96],"is":[14,19,47,54,65,83,98],"presented.":[15],"The":[16],"backstepping":[17],"procedure":[18],"used":[20],"to":[21,80],"synthesize":[22],"new":[24,94],"TSM-like":[25,95],"law":[27,97],"for":[28,41,67,85,102],"second":[30],"and":[31],"third":[32,104],"order":[33,105],"integrator":[34],"chain.":[35],"A":[36],"strict":[37],"Lyapunov":[38],"function":[39],"(LF)":[40],"entire":[43],"closed":[44],"loop":[45],"dynamics":[46],"given":[48],"naturally":[49],"by":[50],"design.":[51],"Further,":[52],"it":[53],"shown,":[55],"under":[56],"certain":[58],"choice":[59],"of":[60,77],"parameters,":[61],"that":[62],"LF":[64],"valid":[66],"TSM":[70],"law,":[72],"as":[73],"well.":[74],"Finite-time":[75],"convergence":[76],"all":[78],"states":[79],"origin":[82],"proven":[84],"both":[86],"algorithms":[88],"using":[89],"LF.":[91],"Finally,":[92],"validated":[99],"in":[100],"simulations":[101],"case.":[106]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}