Title :
U models as universal approximators
Author :
Peng Wang ; Ning Li ; Shaoyuan Li ; Quanmin Zhu
Author_Institution :
Dept. of Autom., Shanghai Jiao Tong Univ., Shanghai, China
Abstract :
This paper provides a proof demonstrating that U models are universal approximators of continuous nonlinear systems with the help of Stone-Weierstrass Theorem. After the proof, we propose a method to identify U models with Bernstein Polynomials. And then we adopt two simulation examples to illustrate the merits of the proposed identification method.
Keywords :
nonlinear control systems; polynomial approximation; Bernstein polynomials; Stone-Weierstrass theorem; U models; continuous nonlinear systems; nonlinear control systems; universal approximators; Adaptation models; Algebra; Design methodology; MIMO; Mathematical model; Nonlinear systems; Polynomials; Bernstein Polynomial; U model; identification; nonlinear system; universal approximator;
Conference_Titel :
Modelling, Identification & Control (ICMIC), 2014 Proceedings of the 6th International Conference on
Conference_Location :
Melbourne, VIC
DOI :
10.1109/ICMIC.2014.7020747
