The structure of a class of Mamdani fuzzy controllers with nonlinear input fuzzy sets
Amin Haj-Ali, Hao Ying · 2004
Understanding the analytical structure of fuzzy controllers clears away the difficulties in analyzing the fundamental attributes of fuzzy controllers. This study focuses on some common fuzzy controllers and gives conditions for their structures to be equivalent to certain conventional controllers, especially nonlinear PI/PD controllers with variable gains. All the fuzzy controllers use Mamdani type of fuzzy rules, product fuzzy AND operator, singleton output fuzzy sets, and the centroid defuzzifier.