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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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