Transformation of TSK fuzzy system into fuzzy system with singleton consequents and its application

A TSK fuzzy system can represent the behavior of a complex nonlinear system with a low number of rules with the desired accuracy and guarantee the stability of the closed loop system, while the interpretation of the rules is difficult due to the functional nature of the consequents. On the contrary, the fuzzy controller with singleton consequents is understandable intuitively and adjustable easily due to linguistic expression of the rules. The paper suggests a method transforming TSK fuzzy systems into fuzzy systems with singleton consequents, and shows its application designing a fuzzy controller with singleton consequents by using the TSK fuzzy system when the behavior of a nonlinear system is described with a singleton fuzzy model by a human expert.