{"id":"https://openalex.org/W2052766008","doi":"https://doi.org/10.1109/tac.2013.2286913","title":"Saturated RISE Feedback Control for a Class of Second-Order Nonlinear Systems","display_name":"Saturated RISE Feedback Control for a Class of Second-Order Nonlinear Systems","publication_year":2013,"publication_date":"2013-10-23","ids":{"openalex":"https://openalex.org/W2052766008","doi":"https://doi.org/10.1109/tac.2013.2286913","mag":"2052766008"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2013.2286913","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2286913","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-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/A5108640169","display_name":"Nicholas Fischer","orcid":null},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nicholas Fischer","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, USA","[Dept. of Mech. & Aerosp. Eng., Univ. of Florida, Gainesville, FL, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"[Dept. of Mech. & Aerosp. Eng., Univ. of Florida, Gainesville, FL, USA]","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018344952","display_name":"Zhen Kan","orcid":"https://orcid.org/0000-0003-2069-9544"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhen Kan","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, USA","[Dept. of Mech. & Aerosp. Eng., Univ. of Florida, Gainesville, FL, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"[Dept. of Mech. & Aerosp. Eng., Univ. of Florida, Gainesville, FL, USA]","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071224574","display_name":"Rushikesh Kamalapurkar","orcid":"https://orcid.org/0000-0001-9963-5361"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rushikesh Kamalapurkar","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, USA","[Dept. of Mech. & Aerosp. Eng., Univ. of Florida, Gainesville, FL, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"[Dept. of Mech. & Aerosp. Eng., Univ. of Florida, Gainesville, FL, USA]","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032651215","display_name":"Warren E. Dixon","orcid":"https://orcid.org/0000-0002-5091-181X"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Warren E. Dixon","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, USA","[Dept. of Mech. & Aerosp. Eng., Univ. of Florida, Gainesville, FL, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"[Dept. of Mech. & Aerosp. Eng., Univ. of Florida, Gainesville, FL, USA]","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I33213144"],"apc_list":null,"apc_paid":null,"fwci":10.5367,"has_fulltext":false,"cited_by_count":103,"citation_normalized_percentile":{"value":0.98179629,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"59","issue":"4","first_page":"1094","last_page":"1099"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9993000030517578,"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/T11236","display_name":"Control Systems and Identification","score":0.9980999827384949,"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":0.8861793279647827},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.7188103199005127},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6537967920303345},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6359078884124756},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.590182363986969},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5723831653594971},{"id":"https://openalex.org/keywords/saturation","display_name":"Saturation (graph theory)","score":0.4818897843360901},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.4520716965198517},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.430853009223938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4203929901123047},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.39386510848999023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34837469458580017},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.30919989943504333},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3001777231693268},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07616668939590454},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06893569231033325}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8861793279647827},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7188103199005127},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6537967920303345},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6359078884124756},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.590182363986969},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5723831653594971},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.4818897843360901},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4520716965198517},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.430853009223938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4203929901123047},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.39386510848999023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34837469458580017},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.30919989943504333},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3001777231693268},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07616668939590454},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06893569231033325},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2013.2286913","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2286913","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.662.538","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.662.538","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ncr.mae.ufl.edu/papers/TAC14.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8199999928474426}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W189590081","https://openalex.org/W207373537","https://openalex.org/W644555752","https://openalex.org/W1551360398","https://openalex.org/W1592648094","https://openalex.org/W1892465057","https://openalex.org/W1967496277","https://openalex.org/W1976937702","https://openalex.org/W1988242845","https://openalex.org/W1988469697","https://openalex.org/W1989699102","https://openalex.org/W1993141785","https://openalex.org/W1998235755","https://openalex.org/W2017195813","https://openalex.org/W2018558951","https://openalex.org/W2021917191","https://openalex.org/W2030593149","https://openalex.org/W2035518322","https://openalex.org/W2047205668","https://openalex.org/W2070922080","https://openalex.org/W2075778767","https://openalex.org/W2083748997","https://openalex.org/W2092362572","https://openalex.org/W2101533364","https://openalex.org/W2103316572","https://openalex.org/W2108000332","https://openalex.org/W2109987654","https://openalex.org/W2110628833","https://openalex.org/W2112843709","https://openalex.org/W2127891097","https://openalex.org/W2129425592","https://openalex.org/W2141781870","https://openalex.org/W2147821493","https://openalex.org/W2148993855","https://openalex.org/W2157630435","https://openalex.org/W2157679962","https://openalex.org/W2170579465","https://openalex.org/W2172123171","https://openalex.org/W2199427417","https://openalex.org/W3102385017","https://openalex.org/W4293078920","https://openalex.org/W6607640158"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W154868527","https://openalex.org/W1494268238","https://openalex.org/W1516574938","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W1976468483","https://openalex.org/W2480116122","https://openalex.org/W2563912921","https://openalex.org/W2407611282"],"abstract_inverted_index":{"A":[0],"saturated":[1,86],"controller":[2,48,87],"is":[3,49],"developed":[4,47,112],"for":[5],"a":[6,24,74,103],"class":[7],"of":[8,37,40,55,110],"uncertain,":[9],"second-order,":[10],"nonlinear":[11],"systems":[12],"which":[13],"includes":[14],"time-varying":[15],"and":[16,76,94],"nonlinearly":[17],"parameterized":[18],"functions":[19],"with":[20,28],"bounded":[21],"disturbances":[22,96],"using":[23,102],"continuous":[25],"control":[26,44,58,71],"law":[27],"smooth":[29],"saturation":[30,62],"functions.":[31],"Based":[32],"on":[33,69],"the":[34,38,41,46,53,70,82,98,108,111],"robust":[35],"integral":[36],"sign":[39],"error":[42],"(RISE)":[43],"methodology,":[45],"able":[50],"to":[51],"utilize":[52],"benefits":[54],"high":[56],"gain":[57],"strategies":[59],"while":[60],"guaranteeing":[61],"limits":[63],"are":[64,72],"not":[65],"surpassed.":[66],"The":[67,85],"bounds":[68],"known":[73],"priori":[75],"can":[77],"be":[78],"adjusted":[79],"by":[80],"changing":[81],"feedback":[83],"gains.":[84],"yields":[88],"asymptotic":[89],"tracking":[90],"despite":[91],"model":[92],"uncertainty":[93],"added":[95],"in":[97],"dynamics.":[99],"Experimental":[100],"results":[101],"two-link":[104],"robot":[105],"manipulator":[106],"demonstrate":[107],"performance":[109],"controller.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}