Robust control of continuous-time fuzzy systems with parametric uncertainty
This paper addresses the robust fuzzy control problem for nonlinear systems in the presence of parametric uncertainties. The T-S fuzzy model is adopted for fuzzy modelling of the nonlinear systems. The continuous-time of the T-S fuzzy system with parametric uncertainties is considered. Sufficient co...
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| creator | Shuxia Kang Xiaoguang Yang Wenhu He |
| description | This paper addresses the robust fuzzy control problem for nonlinear systems in the presence of parametric uncertainties. The T-S fuzzy model is adopted for fuzzy modelling of the nonlinear systems. The continuous-time of the T-S fuzzy system with parametric uncertainties is considered. Sufficient conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability, for the T-S fuzzy system with parametric uncertainties. The sufficient conditions are formulated in the format of linear matrix inequalities. The effectiveness of the proposed controller design method is finally demonstrated through numerical simulations on the chaotic Lorenz system. |
| doi_str_mv | 10.1109/CCDC.2010.5498893 |
| format | Conference Proceeding |
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The T-S fuzzy model is adopted for fuzzy modelling of the nonlinear systems. The continuous-time of the T-S fuzzy system with parametric uncertainties is considered. Sufficient conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability, for the T-S fuzzy system with parametric uncertainties. The sufficient conditions are formulated in the format of linear matrix inequalities. The effectiveness of the proposed controller design method is finally demonstrated through numerical simulations on the chaotic Lorenz system.</description><identifier>ISSN: 1948-9439</identifier><identifier>ISBN: 1424451817</identifier><identifier>ISBN: 9781424451814</identifier><identifier>EISSN: 1948-9447</identifier><identifier>EISBN: 1424451825</identifier><identifier>EISBN: 9781424451821</identifier><identifier>DOI: 10.1109/CCDC.2010.5498893</identifier><identifier>LCCN: 2009934331</identifier><language>eng</language><publisher>IEEE</publisher><subject>Asymptotic stability ; Design methodology ; Fuzzy control ; Fuzzy systems ; Linear matrix inequalities ; linear matrix inequality (LMI) ; Nonlinear systems ; Robust control ; Robust stability ; robustness ; Sufficient conditions ; T-S model ; Uncertainty</subject><ispartof>2010 Chinese Control and Decision Conference, 2010, p.2037-2040</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5498893$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,776,780,785,786,2051,27904,54898</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5498893$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Shuxia Kang</creatorcontrib><creatorcontrib>Xiaoguang Yang</creatorcontrib><creatorcontrib>Wenhu He</creatorcontrib><title>Robust control of continuous-time fuzzy systems with parametric uncertainty</title><title>2010 Chinese Control and Decision Conference</title><addtitle>CCDC</addtitle><description>This paper addresses the robust fuzzy control problem for nonlinear systems in the presence of parametric uncertainties. The T-S fuzzy model is adopted for fuzzy modelling of the nonlinear systems. The continuous-time of the T-S fuzzy system with parametric uncertainties is considered. Sufficient conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability, for the T-S fuzzy system with parametric uncertainties. The sufficient conditions are formulated in the format of linear matrix inequalities. The effectiveness of the proposed controller design method is finally demonstrated through numerical simulations on the chaotic Lorenz system.</description><subject>Asymptotic stability</subject><subject>Design methodology</subject><subject>Fuzzy control</subject><subject>Fuzzy systems</subject><subject>Linear matrix inequalities</subject><subject>linear matrix inequality (LMI)</subject><subject>Nonlinear systems</subject><subject>Robust control</subject><subject>Robust stability</subject><subject>robustness</subject><subject>Sufficient conditions</subject><subject>T-S model</subject><subject>Uncertainty</subject><issn>1948-9439</issn><issn>1948-9447</issn><isbn>1424451817</isbn><isbn>9781424451814</isbn><isbn>1424451825</isbn><isbn>9781424451821</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2010</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNpFUM1OwzAYCz-T2MYeAHHJC3Tka5KlOaIyfsQkJATnKUm_iKC1nZpUqHt6KpjAF9uy5YMJuQK2BGD6pizvymXORiuFLgrNT8gMRC6EhCKXp2QKWhSZFkKd_Qegzv8CridkljOmNRecwwVZxPjJRgiZg1JT8vza2j4m6tomde2Otv5HhqZv-5ilUCP1_eEw0DjEhHWkXyF90L3pTI2pC472jcMumdCk4ZJMvNlFXBx5Tt7v12_lY7Z5eXgqbzdZACVTBk5JDnmBxlkrbQUrpSwwx6RhyFHhynBrNXpllOBjWSon_Nj1lZaVRz4n17-7ARG3-y7Uphu2x4f4N--VVks</recordid><startdate>201005</startdate><enddate>201005</enddate><creator>Shuxia Kang</creator><creator>Xiaoguang Yang</creator><creator>Wenhu He</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>201005</creationdate><title>Robust control of continuous-time fuzzy systems with parametric uncertainty</title><author>Shuxia Kang ; Xiaoguang Yang ; Wenhu He</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-1c753128eacbb5bd1677b10c05a0e3e7e6a3bb9ef7a743c7557c4fcbbfd95dfe3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Asymptotic stability</topic><topic>Design methodology</topic><topic>Fuzzy control</topic><topic>Fuzzy systems</topic><topic>Linear matrix inequalities</topic><topic>linear matrix inequality (LMI)</topic><topic>Nonlinear systems</topic><topic>Robust control</topic><topic>Robust stability</topic><topic>robustness</topic><topic>Sufficient conditions</topic><topic>T-S model</topic><topic>Uncertainty</topic><toplevel>online_resources</toplevel><creatorcontrib>Shuxia Kang</creatorcontrib><creatorcontrib>Xiaoguang Yang</creatorcontrib><creatorcontrib>Wenhu He</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Shuxia Kang</au><au>Xiaoguang Yang</au><au>Wenhu He</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Robust control of continuous-time fuzzy systems with parametric uncertainty</atitle><btitle>2010 Chinese Control and Decision Conference</btitle><stitle>CCDC</stitle><date>2010-05</date><risdate>2010</risdate><spage>2037</spage><epage>2040</epage><pages>2037-2040</pages><issn>1948-9439</issn><eissn>1948-9447</eissn><isbn>1424451817</isbn><isbn>9781424451814</isbn><eisbn>1424451825</eisbn><eisbn>9781424451821</eisbn><abstract>This paper addresses the robust fuzzy control problem for nonlinear systems in the presence of parametric uncertainties. The T-S fuzzy model is adopted for fuzzy modelling of the nonlinear systems. The continuous-time of the T-S fuzzy system with parametric uncertainties is considered. Sufficient conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability, for the T-S fuzzy system with parametric uncertainties. The sufficient conditions are formulated in the format of linear matrix inequalities. The effectiveness of the proposed controller design method is finally demonstrated through numerical simulations on the chaotic Lorenz system.</abstract><pub>IEEE</pub><doi>10.1109/CCDC.2010.5498893</doi><tpages>4</tpages></addata></record> |
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| identifier | ISSN: 1948-9439 |
| ispartof | 2010 Chinese Control and Decision Conference, 2010, p.2037-2040 |
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| language | eng |
| recordid | cdi_ieee_primary_5498893 |
| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Asymptotic stability Design methodology Fuzzy control Fuzzy systems Linear matrix inequalities linear matrix inequality (LMI) Nonlinear systems Robust control Robust stability robustness Sufficient conditions T-S model Uncertainty |
| title | Robust control of continuous-time fuzzy systems with parametric uncertainty |
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