A contribution to the design of stable fuzzy controllers
FS'08 Proceedings of the 9th WSEAS International Conference on Fuzzy Systems
Machine tuning of stable analytical fuzzy predictive controllers
ICANNGA'09 Proceedings of the 9th international conference on Adaptive and natural computing algorithms
On the continuous-time Takagi-Sugeno fuzzy systems stability analysis
Applied Soft Computing
On the stability issues for fuzzy large-scale systems
Fuzzy Sets and Systems
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We propose a new approach for the stability analysis of discrete Sugeno types II and III fuzzy systems. The approach does not require the existence of a common Lyapunov function. We introduce the concept of fuzzy positive definite and fuzzy negative definite functions. This new concept is used to replace classical positive and negative definite functions in arguments similar to those of traditional Lyapunov stability theory. We obtain the equivalent fuzzy system for a cascade of two Type II/III fuzzy systems. We use the cascade of a system and a fuzzy Lyapunov function candidate to derive new conditions for stability and asymptotic stability for discrete type II and type III fuzzy systems. To demonstrate the new approach, we apply it to numerical examples where no common Lyapunov function exists