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Browse Journals & Magazines > Fuzzy Systems, IEEE Transacti ...> Volume:17 Issue:6 Help

Relaxed {cal H}_{\infty } Stabilization Conditions for Discrete-Time Fuzzy Systems With Interval Time-Varying Delays

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2 Author(s)
Sung Hyun Kim ; Div. of Electr. & Comput. Eng., Pohang Univ. of Sci. & Technol., Pohang, South Korea ; PooGyeon Park

To derive less-conservative delay- and range-dependent H infin stabilization conditions for discrete-time Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays, the use of a fuzzy-weighting-dependent Lyapunov-Krasovskii functional (FWLKF), in which all variables are set to be affinely or quadratically dependent on fuzzy weighting functions, is proposed. Subsequently, parameterized linear matrix inequality (PLMI)-based H infin stabilization conditions are derived by following the free-weighting matrix approach. To fully exploit the convexity of fuzzy weighting functions, the derived PLMIs are sequentially replaced by a finite set of LMIs by considering all possible conditions associated with fuzzy weighting functions.

Published in:
Fuzzy Systems, IEEE Transactions on  (Volume:17 ,  Issue: 6 )

Date of Publication: Dec. 2009

Page(s):
1441 - 1449
ISSN :
1063-6706
INSPEC Accession Number:
11000146
Digital Object Identifier :
10.1109/TFUZZ.2009.2028016
Product Type:
Journals & Magazines
Date of Publication :
21 July 2009
Date of Current Version :
01 December 2009
Issue Date :
Dec. 2009
Sponsored by :
IEEE Computational Intelligence Society

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