Novel Stability Criteria for T--S Fuzzy Systems
作者： Xudong Zhao , Lixian Zhang , Peng Shi , Hamid Reza Karimi
DOI: 10.1109/TFUZZ.2013.2254491
关键词: Lyapunov redesign 、 Fuzzy control system 、 Lyapunov equation 、 Lyapunov function 、 Degree (graph theory) 、 Control theory 、 Mathematics 、 Stability (learning theory) 、 Fuzzy set 、 Stability conditions
摘要: 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 formulated in a higher order form of both the system states and normalized membership functions than existing techniques literature. Then, new developed by approach. It shown that conservativeness obtained criteria can be further reduced as degree increases. Two numerical examples given to demonstrate effectiveness less theoretical results.
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