An improved stability criterion for T-S fuzzy discrete systems via vertex expression.
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 P(i)s 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.
Sun
Chung-Hsun
CH
Wang
Wen-June
WJ
D000465:Algorithms; D001185:Artificial Intelligence; D003198:Computer Simulation; D003661:Decision Support Techniques; D005246:Feedback; D017143:Fuzzy Logic; D015233:Models, Statistical; D012815:Signal Processing, Computer-Assisted