TY - JOUR
T1 - An improved stability criterion for T-S fuzzy discrete systems via vertex expression
AU - Sun, Chung Hsun
AU - Wang, Wen June
N1 - Funding Information:
Manuscript received December 22, 2004; revised May 23, 2005. This paper was supported by the National Science Council of Taiwan under Grant NSC-93-2218-E-008-026. This paper was recommended by Associate Editor C.-H. Wang. C.-H. Sun is with the Department of Electrical Engineering, National Central University, Jhongli City 320, Taiwan, R.O.C. W.-J. Wang is with the Department of Electrical Engineering, National Chi Nan University, Puli 545, Taiwan, R.O.C. (e-mail: [email protected]). Digital Object Identifier 10.1109/TSMCB.2005.860135
PY - 2006/6
Y1 - 2006/6
N2 - The stability criteria for Takagi-Sugeno (T-S) fuzzy discrete systems based on a weighting-dependent Lyapunov function have been studied in numerous literature. Most of those results need to find r (number of rules) positive matrices Pis to satisfy r2 Lyapunov inequalities. This paper combines the ideas of group-fired rules, estimation of the maximum distance between two successive states of the system, and the vertex expression of any point in a region together, so that the relaxed stability that satisfies fewer Lyapunov inequalities is derived. Finally, an example is illustrated to reveal the merit of the proposed stability criterion.
AB - The stability criteria for Takagi-Sugeno (T-S) fuzzy discrete systems based on a weighting-dependent Lyapunov function have been studied in numerous literature. Most of those results need to find r (number of rules) positive matrices Pis to satisfy r2 Lyapunov inequalities. This paper combines the ideas of group-fired rules, estimation of the maximum distance between two successive states of the system, and the vertex expression of any point in a region together, so that the relaxed stability that satisfies fewer Lyapunov inequalities is derived. Finally, an example is illustrated to reveal the merit of the proposed stability criterion.
KW - Takagi-Sugeno (T-S) model
KW - Vertex expression
KW - Weighting-dependent Lyapunov function
UR - http://www.scopus.com/inward/record.url?scp=33744505669&partnerID=8YFLogxK
U2 - 10.1109/TSMCB.2005.860135
DO - 10.1109/TSMCB.2005.860135
M3 - 期刊論文
C2 - 16761819
AN - SCOPUS:33744505669
SN - 1083-4419
VL - 36
SP - 672
EP - 678
JO - IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
JF - IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IS - 3
ER -