Title :
The structure of a class of Mamdani fuzzy controllers with nonlinear input fuzzy sets
Author :
Haj-Ali, A. ; Ying, H.
Author_Institution :
Dept. of Electr. & Comput. Eng., Wayne State Univ., Detroit, MI, USA
Abstract :
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.
Keywords :
control nonlinearities; fuzzy control; fuzzy set theory; three-term control; Mamdani fuzzy controllers; PID control; analytical structure; centroid defuzzifier; fundamental attributes; membership function fuzzification; minimal configuration controller; nonlinear controllers; nonlinear input fuzzy sets; product fuzzy AND operator; singleton output fuzzy sets; Control systems; Electric variables control; Error correction; Fuzzy control; Fuzzy logic; Fuzzy sets; Gain; Input variables; Relays; Sliding mode control;
Conference_Titel :
Fuzzy Systems, 2003. FUZZ '03. The 12th IEEE International Conference on
Print_ISBN :
0-7803-7810-5
DOI :
10.1109/FUZZ.2003.1209418
