TY - GEN
T1 - Reducing conservativeness in stability conditions of affine fuzzy systems using fuzzy Lyapunov function
AU - Kim, Dae Young
AU - Park, Jin Bae
AU - Joo, Young Hoon
PY - 2013
Y1 - 2013
N2 - This paper presents the relaxed stability condition for the affine fuzzy system using the fuzzy Lyapunov function which is the Lyapunov function with the membership function. Based on Lyapunov-stability theory, the relaxed stability condition for the affine fuzzy system is derived and represented to linear matrix inequalities(LMIs) with added null product term. Slack matrix variables are considered to analyze further relaxed stability condition. Finally, a simulation example is given to illustrate the merits of the proposed methods.
AB - This paper presents the relaxed stability condition for the affine fuzzy system using the fuzzy Lyapunov function which is the Lyapunov function with the membership function. Based on Lyapunov-stability theory, the relaxed stability condition for the affine fuzzy system is derived and represented to linear matrix inequalities(LMIs) with added null product term. Slack matrix variables are considered to analyze further relaxed stability condition. Finally, a simulation example is given to illustrate the merits of the proposed methods.
UR - http://www.scopus.com/inward/record.url?scp=84887828956&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84887828956&partnerID=8YFLogxK
U2 - 10.1109/FUZZ-IEEE.2013.6622411
DO - 10.1109/FUZZ-IEEE.2013.6622411
M3 - Conference contribution
AN - SCOPUS:84887828956
SN - 9781479900220
T3 - IEEE International Conference on Fuzzy Systems
BT - FUZZ-IEEE 2013 - 2013 IEEE International Conference on Fuzzy Systems
T2 - 2013 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2013
Y2 - 7 July 2013 through 10 July 2013
ER -