U模型作为通用逼近器

Proceedings of 2014 International Conference on Modelling, Identification & Control Pub Date : 2014-12-01 DOI:10.1109/ICMIC.2014.7020747

Peng-fei Wang, Ning Li, Shaoyuan Li, Quanmin Zhu

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引用次数: 2

摘要

本文利用Stone-Weierstrass定理证明了U模型是连续非线性系统的全称逼近器。在此基础上，提出了一种用Bernstein多项式识别U模型的方法。然后通过两个仿真实例说明了所提出的识别方法的优点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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U models as universal approximators

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.

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Proceedings of 2014 International Conference on Modelling, Identification & Control

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