Interpolation behavior of TS fuzzy controllers

In this paper the influence of the shape, the distribution of the membership functions and the order of the functional consequent (in case of Takagi-Sugeno controller, 1985) on the interpolation function of the fuzzy system is investigated. A linear membership function, product conjunction operator, and a general functional consequent are used. Different interpolation behavior can be observed by changing the conjunction operator to minimum, or the membership function to Gaussian.