Title :
Fuzzy Fourier system for function mapping
Author :
Lee, Ching-Hung ; Yu, Chun-Jie
Author_Institution :
Dept. of Electr. Eng., Yuan Ze Univ., Taoyuan, Taiwan
Abstract :
This paper presents a new system called Fuzzy Fourier system (FFS) for periodic functions mapping. The FFS composes a set of fuzzy rules in fuzzy Takagi-Sugeno-Kan fuzzy models. We set the consequent of each rule to be a Fourier series with adjustable parameters (linear orthogonal cosine functions). Therefore, the input/output mapping of FFS is periodic. In addition, with minor revised, The FFS can be used to be a digital-filter for given magnitude specification. Simulation examples illustrate the effectiveness of our approach.
Keywords :
Fourier series; fuzzy neural nets; fuzzy set theory; Fourier series; Fuzzy Fourier system; fuzzy models; fuzzy neural network; fuzzy rules; periodic functions mapping; Fourier series; Function approximation; Fuzzy control; Fuzzy neural networks; Fuzzy sets; Fuzzy systems; Neural networks; Process control; Signal processing algorithms; Three-term control;
Conference_Titel :
TENCON '02. Proceedings. 2002 IEEE Region 10 Conference on Computers, Communications, Control and Power Engineering
Print_ISBN :
0-7803-7490-8
DOI :
10.1109/TENCON.2002.1182620