Novel stability criteria for T-S fuzzy system
Date
2014
Authors
Zhao, X.
Zhang, L.
Shi, P.
Karimi, H.
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Advisors
Journal Title
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Type:
Journal article
Citation
IEEE transactions on fuzzy systems, 2014; 22(2):313-323
Statement of Responsibility
Xudong Zhao, Lixian Zhang, Peng Shi, and Hamid Reza Karimi
Conference Name
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.
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Dissertation Note
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Link to a related website: https://re.public.polimi.it/bitstream/11311/1028642/2/Novel%20Stability%20Criteria%20for%20T%e2%80%93S%20Fuzzy%20Systems_11311-1028642_Zhao.pdf, Open Access via Unpaywall
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© 2013 IEEE