NDLI: Sampled-data stabilization for Takagi-Sugeno fuzzy systems using membership function deviations

Content Provider	IEEE Xplore Digital Library
Author	Xiao-Bo Chi Xin-Chun Jia Qing-Long Han
Copyright Year	2012
Description	Author affiliation: School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, China (Xiao-Bo Chi; Xin-Chun Jia; Qing-Long Han)
Abstract	This paper is concerned with sampled-data stabilization for Takagi-Sugeno (T-S) fuzzy systems by using the property of membership function deviations. A new lemma is presented to obtain an explicit estimate for the bounds of membership function deviations in sampled-data fuzzy control systems and to establish the quantitative relationship between the deviation bounds and the upper bound of sampling intervals. By using a piecewise Lyapunov-Krasovskii functional and a generalized Jensen integral inequality, a stability criterion is derived. Based on the stability criterion, a membership function deviation approach for designing a sampled-data fuzzy controller is proposed. Compared with some existing ones, the obtained results can reduce the conservativeness, which are confirmed by a numerical example.
Starting Page	2476
Ending Page	2481
File Size	1100752
Page Count	6
File Format	PDF
ISBN	9781467324199
ISSN	1553572X
e-ISBN	9781467324212
e-ISBN	9781467324205
DOI	10.1109/IECON.2012.6388858
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-10-25
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Zirconium Process control Stability analysis Matrices Helium Biological system modeling Additives
Content Type	Text
Resource Type	Article

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