Nonparametric frequency response function estimates for switching piecewise linear systems

被引：3

作者：

Song, Tao ^{[1
]}

Zhang, Fubiao ^{[2
]}

Lin, Defu ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Aerosp Engn, Beijing 10086, Peoples R China

[2] Tech Univ Munich, Inst Flight Syst Dynam, D-85748 Garching, Germany

来源：

SIGNAL PROCESSING | 2016年 / 129卷

关键词：

Frequency response function; Switching piecewise time-varying system; Nonparametric identification; Estimation uncertainty; IDENTIFICATION ALGORITHM; TIME-VARIATION; QUANTIFICATION; PREDICTION;

D O I：

10.1016/j.sigpro.2016.05.012

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper proposes two algorithms (ATIRMM and ALPM) for estimating the time-varying behavior of single input single output (SISO) switching piecewise linear systems. Walsh basis functions are used to capture the non-smooth fast varying dynamics. The piecewise time-varying frequency response function (TV-FRF) is approximated by the sum of a series of LTI FRFs multiplied with a set of Walsh functions. The best linear time invariant approximation (BLTIA) of the TV-FRF is estimated with small uncertainty. Besides the BLTIA, the two methods are capable of estimating the noise power spectrum and the TV-FRF. The error analysis shows that ATIRMM delivers more accurate TV-FRF and BLTIA estimations, while ALPM has better performance in noise power spectrum estimation. The conclusions are illustrated by simulations. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：150 / 165

页数：16

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