Modeling and Computational Aspects of Nonlinear Fuzzy TITO PI/PD Controller via Height Defuzzification

Abstract In this paper, a new mathematical model of the simplest Mamdani type fuzzy Two - Input Two - Output (TITO) Proportional Integral (PI) or Proportional Derivative (PD) controller is presented. Components of the fuzzy controller include two fuzzy sets on each input variable, five fuzzy sets on each output variable, five linear control rules, Algebraic Product (AP) AND operator, Bounded Sum (BS) OR operator, and Height (Ht) defuzzification strategy. Computational aspects of the developed controller model are studied. Two simulation examples are presented to show the applicability of the developed controller model.