Title :
Takagi-Sugeno models as approximators in Sobolev norms: the SISO case
Author_Institution :
Dipartimento di Elettronica Inf. e Sistemistica, Bologna Univ., Italy
Abstract :
The approximation capabilities of Takagi-Sugeno models are investigated. Classical results on the approximation of regular functions are improved showing that these more general models may approximate to any degree of accuracy not only sufficiently smooth functions but also their first and second-order derivatives
Keywords :
function approximation; fuzzy set theory; fuzzy systems; interpolation; piecewise-linear techniques; SISO case; Sobolev norms; Takagi-Sugeno models; approximation capabilities; first-order derivatives; regular functions; second-order derivatives; Computer aided software engineering; Fuzzy control; Fuzzy sets; Fuzzy systems; Interpolation; Knowledge based systems; Nonlinear control systems; Polynomials; Power system modeling; Takagi-Sugeno model;
Conference_Titel :
Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-3645-3
DOI :
10.1109/FUZZY.1996.552325
