Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/85445
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Type: Journal article
Title: Novel stability criteria for T-S fuzzy system
Author: Zhao, X.
Zhang, L.
Shi, P.
Karimi, H.
Citation: IEEE Transactions on Fuzzy Systems, 2014; 22(2):313-323
Publisher: IEEE
Issue Date: 2014
ISSN: 1063-6706
1941-0034
Statement of
Responsibility: 
Xudong Zhao, Lixian Zhang, Peng Shi, and Hamid Reza Karimi
Abstract: In this paper, novel stability conditions for Takagi-Sugeno (T-S) fuzzy systems are presented. The so-called nonquadratic membership-dependent Lyapunov function is first proposed, which is formulated in a higher order form of both the system states and the normalized membership functions than existing techniques in the literature. Then, new membership-dependent stability conditions are developed by the new Lyapunov function approach. It is shown that the conservativeness of the obtained criteria can be further reduced as the degree of the Lyapunov function increases. Two numerical examples are given to demonstrate the effectiveness and less conservativeness of the obtained theoretical results.
Keywords: Lyapunov function; membership-dependent stability; Takagi–Sugeno (T–S) fuzzy system
Rights: © 2013 IEEE
DOI: 10.1109/TFUZZ.2013.2254491
Published version: http://dx.doi.org/10.1109/tfuzz.2013.2254491
Appears in Collections:Aurora harvest 7
Electrical and Electronic Engineering publications

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