Mathematical Modelling and Analysis of the Simplest Fuzzy Two-Input Two-Output Two-Term Controller of Takagi−Sugeno Type

Mathematical modelling of the simplest Takagi−Sugeno fuzzy Two-Input Two-Output (TITO) Proportional-Integral/Proportional-Derivative (PI/PD) controller is presented in this paper. model PI/PD proposed using Algebraic Product (AP) t-norm, Bounded Sum (BS) t-co-norm and Center Gravity (CoG) defuzzifier. The inputs are fuzzified by sets having L Γ type membership functions. rule base consists five rules with different linear models consequent parts. Both static dynamic coupling taken into account while deriving models. reveals that it a variable gain/structure controller. Also, each output TITO sum two nonlinear PI or PD controllers gains. properties gain variations investigated.