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http://dx.doi.org/10.5370/KIEE.2012.61.10.1508

Relaxed Stability Condition for Affine Fuzzy System Using Fuzzy Lyapunov Function  

Kim, Dae-Young (연세대 전기전자공학과)
Park, Jin-Bae (연세대 전기전자공학과)
Joo, Young-Hoon (국립군산대 제어로봇공학과)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.61, no.10, 2012 , pp. 1508-1512 More about this Journal
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.
Keywords
Affine fuzzy system; Linear matrix inequality(LMI); Fuzzy Lyapunov function; Stability analysis;
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