Theory and Algorithm on Inverse Adaptive Modeling of Nonlinear Systems

Wang Yongde

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Theory and Algorithm on Inverse Adaptive Modeling of Nonlinear Systems

更新时间：2025-12-08

- Theory and Algorithm on Inverse Adaptive Modeling of Nonlinear Systems
- Acta Electronica Sinica Issue 4, Pages: 33-39(1993)
- 作者机构：
  
  四川大学无线电系,成都,610064
- 作者简介：
- 基金信息：
- DOI：
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- Published：1993
- 稿件说明：
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[1]王永德.非线性系统自适应逆模理论及算法[J].电子学报,1993(04):33-39.

Wang Yongde. Theory and Algorithm on Inverse Adaptive Modeling of Nonlinear Systems[J]. Acta Electronica Sinica, 1993, (4): 33-39.
[1]王永德.非线性系统自适应逆模理论及算法[J].电子学报,1993(04):33-39. DOI：

Wang Yongde. Theory and Algorithm on Inverse Adaptive Modeling of Nonlinear Systems[J]. Acta Electronica Sinica, 1993, (4): 33-39. DOI：

摘要

本文在对输入过程作可分性的假设下

采用描述非线性系统的Block-oriented模型导出了自适应非线性系统应满足的广义Wiener-Hopf方程。由此出发得到了一类非线性系统的逆模理论解。类似于LMS算法提出了一种自适应逆模的实用算法。计算机模拟试验证实该算法以极高的精度收敛于理论解。

Abstract

Under assumption on separable input processes

using the block-oriented model of nonlinear systems

a generalized Wiener-Hopf equation on adaptive nonlinear systems are derived in this paper. Based on this

the analytical solutions of inverse model of some nonlinear systems are obtained. Similar to common LMS algorithm

a useful algorithm used in inverse adaptive modeling of the nonlinear system is proposed. It is shown by simulations that weight values converge to the analytical solutions closely to the proposed algorithm.

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