{"id":"https://openalex.org/W2017959006","doi":"https://doi.org/10.1109/tac.2011.2161832","title":"Design of a Nonlinear Anti-Windup Gain by Using a Composite Quadratic Lyapunov Function","display_name":"Design of a Nonlinear Anti-Windup Gain by Using a Composite Quadratic Lyapunov Function","publication_year":2011,"publication_date":"2011-07-20","ids":{"openalex":"https://openalex.org/W2017959006","doi":"https://doi.org/10.1109/tac.2011.2161832","mag":"2017959006"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2011.2161832","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2011.2161832","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/A5044791650","display_name":"Liang Lu","orcid":"https://orcid.org/0000-0002-6396-4793"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liang Lu","raw_affiliation_strings":["Shanghai Jiao Tong University, China","[Shanghai Jiao Tong University, Shanghai, China]"],"affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"[Shanghai Jiao Tong University, Shanghai, China]","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072774939","display_name":"Zongli Lin","orcid":"https://orcid.org/0000-0003-1589-1443"},"institutions":[{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zongli Lin","raw_affiliation_strings":["Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA, U.S.A","Charles L., Brown Dept. of Electr. & Comput. Eng., Univ. of Virginia, Charlottesville, VA, USA"],"affiliations":[{"raw_affiliation_string":"Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA, U.S.A","institution_ids":["https://openalex.org/I51556381"]},{"raw_affiliation_string":"Charles L., Brown Dept. of Electr. & Comput. Eng., Univ. of Virginia, Charlottesville, VA, USA","institution_ids":["https://openalex.org/I51556381"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044791650"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":4.5676,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.94402145,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"56","issue":"12","first_page":"2997","last_page":"3001"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","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/T11236","display_name":"Control Systems and Identification","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/T10046","display_name":"Stability and Control of Uncertain 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/T10876","display_name":"Fault Detection and Control 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"}}],"keywords":[{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.8155527114868164},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7381564378738403},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6352266073226929},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6245958805084229},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.6235266327857971},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.5690833926200867},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5333186388015747},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.46816369891166687},{"id":"https://openalex.org/keywords/control-lyapunov-function","display_name":"Control-Lyapunov function","score":0.440753698348999},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4179172217845917},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.4160858392715454},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3188154101371765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22515279054641724},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09967395663261414},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05650198459625244},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.053377628326416016}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.8155527114868164},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7381564378738403},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6352266073226929},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6245958805084229},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.6235266327857971},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.5690833926200867},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5333186388015747},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.46816369891166687},{"id":"https://openalex.org/C201030206","wikidata":"https://www.wikidata.org/wiki/Q5165805","display_name":"Control-Lyapunov function","level":5,"score":0.440753698348999},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4179172217845917},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.4160858392715454},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3188154101371765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22515279054641724},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09967395663261414},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05650198459625244},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.053377628326416016},{"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},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2011.2161832","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2011.2161832","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8399999737739563,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W65153156","https://openalex.org/W414027673","https://openalex.org/W1496192324","https://openalex.org/W1590517078","https://openalex.org/W1972025946","https://openalex.org/W1978269399","https://openalex.org/W1989524368","https://openalex.org/W1997634611","https://openalex.org/W2015323704","https://openalex.org/W2020209637","https://openalex.org/W2030134241","https://openalex.org/W2062645572","https://openalex.org/W2063003437","https://openalex.org/W2064287603","https://openalex.org/W2107585579","https://openalex.org/W2145957603","https://openalex.org/W2147439098","https://openalex.org/W2148827498","https://openalex.org/W2170907845","https://openalex.org/W2174646039","https://openalex.org/W2500734973","https://openalex.org/W2543758308","https://openalex.org/W2947598007","https://openalex.org/W3094663703"],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W3217133416","https://openalex.org/W2358066536","https://openalex.org/W1970635650","https://openalex.org/W2496188264","https://openalex.org/W2333471870","https://openalex.org/W2126112326","https://openalex.org/W2091455539","https://openalex.org/W2374426356"],"abstract_inverted_index":{"This":[0,62],"technical":[1],"note":[2],"revisits":[3],"the":[4,14,19,36,73,78,81,107,110,113],"problem":[5,38],"of":[6,16,18,72,75,80,84,87,90,109],"designing":[7],"a":[8,25,56,85,91,98],"static":[9],"anti-windup":[10,60,64],"gain":[11,65],"for":[12,39],"enlarging":[13],"domain":[15,74],"attraction":[17,76],"resulting":[20],"closed-loop":[21],"system.":[22],"By":[23],"utilizing":[24],"composite":[26,114],"quadratic":[27,115],"Lyapunov":[28,100,116],"function,":[29],"which":[30],"was":[31],"originally":[32],"proposed":[33,111],"to":[34,53,68],"study":[35],"stabilization":[37],"linear":[40],"systems":[41],"under":[42],"actuator":[43],"saturation,":[44],"an":[45,70],"existing":[46],"LMI":[47],"based":[48,102],"design":[49,112],"algorithm":[50],"is":[51],"enhanced":[52],"result":[54,96],"in":[55,77],"nonlinear,":[57],"possibly":[58],"continuous,":[59],"gain.":[61],"nonlinear":[63],"enables":[66],"us":[67],"obtain":[69],"estimate":[71],"form":[79],"convex":[82],"hull":[83],"group":[86],"ellipsoids,":[88],"instead":[89],"single":[92,99],"ellipsoid":[93],"that":[94],"would":[95],"from":[97],"function":[101,117],"design.":[103],"Simulation":[104],"results":[105],"demonstrate":[106],"features":[108],"brings":[118],"about.":[119]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
