Mathematical modelling of some simplest fuzzy two-term (PI/PD) controllers

From the literature, it appears that the combination of Mamdani Minimum (MM) inference and Centre of Area (CoA) defuzzification was rarely used for the modelling of the Simplest Fuzzy (SF) two-term (PI/PD) controllers. In this work, to reduce this gap, mathematical models of three SF two-term controllers are unveiled via MM inference and CoA defuzzification. Apart from modelling, properties of the newly derived controllers are analysed. Finally, to illustrate the applicability of the controllers developed in this article, a simulation example and a real-time study are provided.