TY - GEN
T1 - A less conservative LMI condition for stability analysis of continuous-time Takagi-Sugeno fuzzy systems via a new fuzzy Lyapunov function
AU - Lee, Dong Hwan
AU - Park, Jin Bae
AU - Joo, Young Hoon
AU - Jeong, Hyun Suk
PY - 2010
Y1 - 2010
N2 - In this paper, stability of continuous-time Takagi- Sugeno (T-S) fuzzy systems is investigated by means of a new fuzzy Lyapunov function which depends on the first-order timederivative of the fuzzy weighting functions (TDFWF). As a result, both the first and second-order TDFWF appear in the Lyapunov inequality and the stability condition. The additional dependence on the second-order TDFWF makes it possible to reduce the conservativeness of the previous result. The stability condition is formulated in terms of linear matrix inequalities (LMIs). The effectiveness of the proposed analysis approach is demonstrated by numerical examples.
AB - In this paper, stability of continuous-time Takagi- Sugeno (T-S) fuzzy systems is investigated by means of a new fuzzy Lyapunov function which depends on the first-order timederivative of the fuzzy weighting functions (TDFWF). As a result, both the first and second-order TDFWF appear in the Lyapunov inequality and the stability condition. The additional dependence on the second-order TDFWF makes it possible to reduce the conservativeness of the previous result. The stability condition is formulated in terms of linear matrix inequalities (LMIs). The effectiveness of the proposed analysis approach is demonstrated by numerical examples.
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U2 - 10.1109/FUZZY.2010.5584596
DO - 10.1109/FUZZY.2010.5584596
M3 - Conference contribution
AN - SCOPUS:78549255923
SN - 9781424469208
T3 - 2010 IEEE World Congress on Computational Intelligence, WCCI 2010
BT - 2010 IEEE World Congress on Computational Intelligence, WCCI 2010
T2 - 2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010
Y2 - 18 July 2010 through 23 July 2010
ER -