Consistent Subspace Identification of Errors-in-Variables Hammerstein Systems

被引：50

作者：

Hou, Jie ^{[1
]}

Su, Hao ^{[1
]}

Yu, Chengpu ^{[2
]}

Chen, Fengwei ^{[3
]}

Li, Penghua ^{[1
]}

Xie, Haofei ^{[1
]}

Li, Taifu ^{[4
]}

机构：

[1] Chongqing Univ Posts & Telecommun, Coll Automat, Chongqing 400065, Peoples R China

[2] Beijing Inst Technol Chongqing Innovat Ctr, Chongqing 401120, Peoples R China

[3] Chongqing Univ, Dept Automat, Chongqing 430072, Peoples R China

[4] Chongqing Univ Sci & Technol, Sch Elect & Informat Engn, Chongqing 401331, Peoples R China

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2023年 / 53卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Consistent estimation; errors-in-variables (EIVs); Hammerstein systems; subspace identification; POWER TRANSFER SYSTEMS; BIAS-CORRECTION METHOD; NONLINEAR-SYSTEMS; MODEL; ALGORITHMS; SPACE;

D O I：

10.1109/TSMC.2022.3213809

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 article, a consistent subspace identification method (SIM) is proposed for block-oriented errors-in-variables Hammerstein systems. Due to that the existing SIMs using parity subspace based on noisy measurements may result in biased parameter estimates, we propose a scheme for the consistent system parameter estimation, which estimates the noise-free Hankel matrix using available noisy measurements and noise variances. A 2-D search method is proposed to estimate the unknown noise variances from available noisy measurements. After that consistent estimations of the Hammerstein system parameters can be then retrieved from the estimated noise-free Hankel matrix following the same algorithm framework of the existing SIMs using parity subspace. Two simulation examples are included to support the effectiveness and merits of the proposed method.

引用

页码：2292 / 2303

页数：12

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