KIEE - The Transactions of the Korean Institute of Electrical Engineers

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The Transactions of the Korean Institute of Electrical Engineers

The Transactions of the Korean Institute of Electrical Engineers

ISO Journal TitleTrans. Korean. Inst. Elect. Eng.

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Title	Relaxed Stability Condition for Affine Fuzzy System Using Fuzzy Lyapunov Function
Authors	김대영(Kim, Dae-Young) ; 박진배(Park, Jin-Bae) ; 주영훈(Joo, Young-Hoon)
DOI	https://doi.org/10.5370/KIEE.2012.61.10.1508
Page	pp.1508-1512
ISSN	1975-8359
Keywords	Affine fuzzy system ; Linear matrix inequality(LMI) ; Fuzzy Lyapunov function ; Stability analysis
Abstract	This paper presents a relaxed stability condition for continuous-time affine fuzzy system using fuzzy Lyapunov function. In the previous studies, stability conditions for the affine fuzzy system based on quadratic Lyapunov function have a conservativeness. The stability condition is considered by using the fuzzy Lyapunov function, which has membership functions in the traditional Lyapunov function. Based on Lyapunov-stability theory, the stability condition for affine fuzzy system is derived and represented to linear matrix inequalities(LMIs). And slack matrix is added to stability condition for the relaxed stability condition. Finally, simulation example is given to illustrate the merits of the proposed method.

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