TY - JOUR
T1 - Relaxed stability condition for affine fuzzy system using fuzzy lyapunov function
AU - Kim, Dae Young
AU - Park, Jin Bae
AU - Joo, Young Hoon
PY - 2012/10
Y1 - 2012/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84867752678&partnerID=8YFLogxK
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U2 - 10.5370/KIEE.2012.61.10.1508
DO - 10.5370/KIEE.2012.61.10.1508
M3 - Article
AN - SCOPUS:84867752678
SN - 1975-8359
VL - 61
SP - 1508
EP - 1512
JO - Transactions of the Korean Institute of Electrical Engineers
JF - Transactions of the Korean Institute of Electrical Engineers
IS - 10
ER -