Title :
Approximation of C1 functions and their derivative functions by SISO linear T-S fuzzy systems
Author :
Ke, Zeng ; Naiyao, Zhang ; Wenli, Xu
Author_Institution :
Dept. of Autom., Tsinghua Univ., Beijing, China
Abstract :
A class of SISO T-S fuzzy systems named as linear T-S fuzzy systems, which employ linear functions of input variable as rule consequent are investigated. On condition that the input fuzzy sets are consistent we proved that linear T-S fuzzy systems are capable of approximating C1 function and its derivative function to any degree of accuracy simultaneously
Keywords :
function approximation; fuzzy set theory; fuzzy systems; linear systems; C1 function approximation; SISO linear T-S fuzzy systems; derivative functions; input fuzzy sets; rule consequent; Automation; Fuzzy sets; Fuzzy systems; Input variables;
Conference_Titel :
Intelligent Control and Automation, 2000. Proceedings of the 3rd World Congress on
Conference_Location :
Hefei
Print_ISBN :
0-7803-5995-X
DOI :
10.1109/WCICA.2000.862792
