DocumentCode
240665
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
fYear
2014
fDate
3-5 Dec. 2014
Firstpage
172
Lastpage
177
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Modelling, Identification & Control (ICMIC), 2014 Proceedings of the 6th International Conference on
Conference_Location
Melbourne, VIC
Type
conf
DOI
10.1109/ICMIC.2014.7020747
Filename
7020747
Link To Document