Towards identification of Wiener systems with the least amount of a priori information: IIR cases

被引：30

作者：

Bai, Er-Wei ^{[1
]}

Reyland, John, Jr. ^{[1
]}

机构：

[1] Univ Iowa, Dept Elect & Comp Engn, Iowa City, IA 52242 USA

来源：

AUTOMATICA | 2009年 / 45卷 / 04期

关键词：

System identification; Nonlinear systems; Wiener systems; A priori information; RECURSIVE-IDENTIFICATION; MODEL IDENTIFICATION;

D O I：

10.1016/j.automatica.2008.11.020

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we investigate what constitutes the least amount of a priori information on the nonlinearity so that the linear part is identifiable in the non-Gaussian input case. Under the white noise input, three types of a priori information are considered: quadrant information, point information, and monotonic information. In all three cases, identifiability has been established, and the corresponding nonparametric identification algorithms are developed along with their convergence proofs. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：956 / 964

页数：9

共 19 条

[1]

ABE M, 1997, P 31 AS C SIGN SYST, V2, P1674

[2] Towards identification of Wiener systems with the least amount of a priori information on the nonlinearity [J].

Bai, Er-Wei ;

Reyland, John, Jr. .

AUTOMATICA, 2008, 44 (04) :910-919

[3] A blind approach to the Hammerstein-Wiener model identification [J].

Bai, EW .

AUTOMATICA, 2002, 38 (06) :967-979

[4] IDENTIFICATION OF A CLASS OF NON-LINEAR SYSTEMS USING CORRELATION ANALYSIS [J].

BILLINGS, SA ;

FAKHOURI, SY .

PROCEEDINGS OF THE INSTITUTION OF ELECTRICAL ENGINEERS-LONDON, 1978, 125 (07) :691-697

[5]

Bjorck A, 1996, NUMERICAL METHODS LE, DOI [10.1137/1.9781611971484, DOI 10.1137/1.9781611971484]

[6] Initial estimates of Wiener and Hammerstein systems using multisine excitation [J].

Crama, P ;

Schoukens, J .

IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2001, 50 (06) :1791-1795

[7]

Fan J., 2003, NONLINEAR TIME SERIE

[8]

Golub G.H., 1984, Matrix Computations, Vsecond

[9] NONPARAMETRIC IDENTIFICATION OF WIENER SYSTEMS [J].

GREBLICKI, W .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (05) :1487-1493

[10] Strong consistence of recursive identification for Wiener systems [J].

Hu, XL ;

Chen, HF .

AUTOMATICA, 2005, 41 (11) :1905-1916

← 1 2 →