Wavelet Amendment of Polynomial Models in Hammerstein Systems Identification

被引：11

作者：

Sliwinski, Przemyslaw ^{[1
]}

Rozenblit, Jerzy ^{[2
]}

Marcellin, Michael W. ^{[2
]}

Klempous, Ryszard ^{[1
]}

机构：

[1] Wroclaw Univ Technol, Inst Comp Engn, PL-50370 Wroclaw, Poland

[2] Univ Arizona, Dept Elect & Comp Engn, Tucson, AZ 85721 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 04期

关键词：

Hammerstein system; nonlinear system identification; order statistics; polynomial models; semiparametric approach; wavelet bypass; wavelet regression estimate; NONPARAMETRIC IDENTIFICATION; NONLINEAR-SYSTEMS; REGRESSION; CONVERGENCE;

D O I：

10.1109/TAC.2008.2009620

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new wavelet algorithm for on-line improvement of an existing polynomial model of nonlinearity in a Hammerstein system is proposed and its properties are examined. The algorithm employs wavelet bases on interval. Convergence of the resulting assembly, comprising the parametric polynomial model and a nonparametric wavelet add-on, to the system nonlinearity is shown. Rates of convergence for uniformly smooth and piecewise smooth nonlinearities with discontinuities are both established.

引用

页码：820 / 825

页数：6

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