Improved results on fuzzy H ∞ filter design for T-S fuzzy systems

Wen, G; An, J; Xu, W

Improved results on fuzzy H ∞ filter design for T-S fuzzy systems

Wen, G An, J Xu, W

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Publication Type:: Journal Article
Citation:: Discrete Dynamics in Nature and Society, 2010, 2010
Issue Date:: 2010-11-22

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Field	Value	Language
dc.contributor.author	Wen, G	en_US
dc.contributor.author	An, J	en_US
dc.contributor.author	Xu, W	en_US
dc.date.issued	2010-11-22	en_US
dc.identifier.citation	Discrete Dynamics in Nature and Society, 2010, 2010	en_US
dc.identifier.issn	1026-0226	en_US
dc.identifier.uri	http://hdl.handle.net/10453/13013
dc.description.abstract	The fuzzy H ∞ filter design problem for T-S fuzzy systems with interval time-varying delay is investigated. The delay is considered as the time-varying delay being either differentiable uniformly bounded with delay derivative in bounded interval or fast varying (with no restrictions on the delay derivative). A novel Lyapunov-Krasovskii functional is employed and a tighter upper bound of its derivative is obtained. The resulting criterion thus has advantages over the existing ones since we estimate the upper bound of the derivative of Lyapunov-Krasovskii functional without ignoring some useful terms. A fuzzy H ∞ filter is designed to ensure that the filter error system is asymptotically stable and has a prescribed H ∞ performance level. An improved delay-derivative-dependent condition for the existence of such a filter is derived in the form of linear matrix inequalities (LMIs). Finally, numerical examples are given to show the effectiveness of the proposed method. © 2010 Jiyao An et al.	en_US
dc.relation.ispartof	Discrete Dynamics in Nature and Society	en_US
dc.relation.isbasedon	10.1155/2010/392915	en_US
dc.subject.classification	Numerical & Computational Mathematics	en_US
dc.title	Improved results on fuzzy H ∞ filter design for T-S fuzzy systems	en_US
dc.type	Journal Article
utslib.citation.volume	2010	en_US
utslib.for	0102 Applied Mathematics	en_US
dc.location.activity	ISI:000283159800001	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	open_access
pubs.publication-status	Published	en_US
pubs.volume	2010	en_US

Abstract:

The fuzzy H ∞ filter design problem for T-S fuzzy systems with interval time-varying delay is investigated. The delay is considered as the time-varying delay being either differentiable uniformly bounded with delay derivative in bounded interval or fast varying (with no restrictions on the delay derivative). A novel Lyapunov-Krasovskii functional is employed and a tighter upper bound of its derivative is obtained. The resulting criterion thus has advantages over the existing ones since we estimate the upper bound of the derivative of Lyapunov-Krasovskii functional without ignoring some useful terms. A fuzzy H ∞ filter is designed to ensure that the filter error system is asymptotically stable and has a prescribed H ∞ performance level. An improved delay-derivative-dependent condition for the existence of such a filter is derived in the form of linear matrix inequalities (LMIs). Finally, numerical examples are given to show the effectiveness of the proposed method. © 2010 Jiyao An et al.

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http://hdl.handle.net/10453/13013