用Haar小波半递归辨识Hammerstein系统非线性的一种简单方法

P. Sliwinski, Z. Hasiewicz, Paweł Wachel
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引用次数: 5

摘要

提出了Hammerstein系统非线性恢复的一种简单的半递归程序。该识别方案基于Haar小波核,具有简单紧凑的形式。证明了算法的收敛性,并给出了分段Lipschitz非线性的渐近收敛速率(与输入密度平滑无关)。验证了算法的数值稳定性。并对少量和中等数量的输入输出数据进行了仿真实验,以说明该程序的适用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A simple scheme for semi-recursive identification of Hammerstein system nonlinearity by Haar wavelets
Abstract A simple semi-recursive routine for nonlinearity recovery in Hammerstein systems is proposed. The identification scheme is based on the Haar wavelet kernel and possesses a simple and compact form. The convergence of the algorithm is established and the asymptotic rate of convergence (independent of the input density smoothness) is shown for piecewise- Lipschitz nonlinearities. The numerical stability of the algorithm is verified. Simulation experiments for a small and moderate number of input-output data are presented and discussed to illustrate the applicability of the routine.
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