TY - JOUR
T1 - A relaxed stability criterion for T-S fuzzy discrete systems
AU - Wang, Wen June
AU - Sun, Chung Hsun
N1 - Funding Information:
Manuscript received November 4, 2003; revised February 26, 2004. This paper was supported by the National Science Council of Taiwan under Grant NSC-92-2213-E-008-020. This paper was recommended by Associate Editor H. X. Li.
PY - 2004/10
Y1 - 2004/10
N2 - Stability conditions for Tanaka-Sugeno (T-S) fuzzy discrete systems based on a single quadratic Lyapunov function or a weighting dependent Lyapunov function have been mentioned in lots of literature. The existence of a common matrix P is required in the former, and r (rules' number) positive matrices satisfying r2 Lyapunov inequalities are necessary in the latter. In this paper, the weighting dependent Lyapunov function is used again. Moreover according to the idea of the firing rule group and the distance estimation between two successive states of the system, the relaxed stability criterion of T-S fuzzy discrete system is proposed.
AB - Stability conditions for Tanaka-Sugeno (T-S) fuzzy discrete systems based on a single quadratic Lyapunov function or a weighting dependent Lyapunov function have been mentioned in lots of literature. The existence of a common matrix P is required in the former, and r (rules' number) positive matrices satisfying r2 Lyapunov inequalities are necessary in the latter. In this paper, the weighting dependent Lyapunov function is used again. Moreover according to the idea of the firing rule group and the distance estimation between two successive states of the system, the relaxed stability criterion of T-S fuzzy discrete system is proposed.
UR - http://www.scopus.com/inward/record.url?scp=4844221238&partnerID=8YFLogxK
U2 - 10.1109/TSMCB.2004.833332
DO - 10.1109/TSMCB.2004.833332
M3 - 期刊論文
C2 - 15503512
AN - SCOPUS:4844221238
SN - 1083-4419
VL - 34
SP - 2155
EP - 2158
JO - IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
JF - IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IS - 5
ER -