A Nonlinear Fuzzy PID Controller via Algebraic Product AND  Bounded Sum OR  Algebraic Product Inference

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Author(s) 
B. M. Mohan, NeethuKuruvilla 

KEYWORDS 
PID control, nonlinear control, fuzzy control, mathematical modeling, algebraic product, bounded sum, center of sums
(CoS). 

ABSTRACT 
This paper reveals a mathematical model of the simplest fuzzy PID controller which employs two fuzzy sets (negative and positive) on each of the three input variables (displacement, velocity and acceleration) and four fuzzy sets (2, 1, +1, +2) on the output variable (incremental control). Ltype, Gtype and ??type membership functions are considered in fuzzification process of input and output variables. Controller modeling is done via algebraic product AND operatorbounded sum OR operatoralgebraic product inference methodCenter of Sums defuzzificatiion process combination. The model obtained in this manner, turns out to be nonlinear, is analysed finally. 

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