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International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 6    
Website: http://www.ijser.org
scirp IJSER >> Volume 3,Issue 6,June 2012
A Nonlinear Fuzzy PID Controller via Algebraic Product AND - Bounded Sum OR - Algebraic Product Inference
Full Text(PDF, )  PP.1-6  
B. M. Mohan, NeethuKuruvilla
PID control, nonlinear control, fuzzy control, mathematical modeling, algebraic product, bounded sum, center of sums (CoS).
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). L-type, G-type and ??-type membership functions are considered in fuzzification process of input and output variables. Controller modeling is done via algebraic product AND operator-bounded sum OR operator-algebraic product inference method-Center of Sums defuzzificatiion process combination. The model obtained in this manner, turns out to be nonlinear, is analysed finally.
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