A relaxed stability criterion for T-S fuzzy discrete systems

Authors:
W. -J. Wang;Chung-Hsun Sun
Affiliations:
Dept. of Electr. Eng., Nat. Central Univ., Chung-li, Taiwan;-
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Year:
2004

Citing 0
Cited 4

Hybrid approaches for regional Takagi-Sugeno static output feedback fuzzy controller design

Expert Systems with Applications: An International Journal
A sum-of-squares approach to modeling and control of nonlinear dynamical systems with polynomial fuzzy systems

IEEE Transactions on Fuzzy Systems
Fuzzy state-space modeling and robust observer-based control design for nonlinear partial differential systems

IEEE Transactions on Fuzzy Systems
A fuzzy approach for robust reference-tracking-control design of nonlinear distributed parameter time-delayed systems and its application

IEEE Transactions on Fuzzy Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

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.