Parameter reduction in nonlinear state-space identification of hysteresis

Alireza Fakhrizadeh Esfahani; Philippe Dreesen; Koen Tiels; Jean-Philippe Noeel; Johan Schoukens

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Parameter reduction in nonlinear state-space identification of hysteresis

机译：非线性状态空间滞后辨识中的参数约简

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摘要

Recent work on black-box polynomial nonlinear state-space modeling for hysteresis identification has provided promising results, but struggles with a large number of parameters due to the use of multivariate polynomials. This drawback is tackled in the current paper by applying a decoupling approach that results in a more parsimonious representation involving univariate polynomials. This work is carried out numerically on input-output data generated by a Bouc-Wen hysteretic model and follows up on earlier work of the authors. The current article discusses the polynomial decoupling approach and explores the selection of the number of univariate polynomials with the polynomial degree. We have found that the presented decoupling approach is able to reduce the number of parameters of the full nonlinear model up to about 50%, while maintaining a comparable output error level.

机译：黑盒多项式非线性状态空间模型用于滞后识别的最新工作提供了可喜的结果，但是由于使用了多元多项式，因此在使用大量参数时遇到了困难。通过应用去耦方法可以解决此缺点，该方法可以导致涉及单变量多项式的更简约的表示形式。这项工作是对Bouc-Wen磁滞模型生成的输入-输出数据进行数字处理的，并且是作者先前工作的后续工作。本文讨论了多项式解耦方法，并探讨了选择具有多项式次数的单变量多项式的数量。我们发现，提出的去耦方法能够将整个非线性模型的参数数量减少多达约50％，同时保持相当的输出误差水平。

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来源
《Mechanical systems and signal processing》 |2018年第may1期|884-895|共12页
作者
Alireza Fakhrizadeh Esfahani; Philippe Dreesen; Koen Tiels; Jean-Philippe Noeel; Johan Schoukens;
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作者单位

Vrije Universiteit Brussel (VUB), Department ELEC, Brussels, Belgium;

Vrije Universiteit Brussel (VUB), Department ELEC, Brussels, Belgium;

Vrije Universiteit Brussel (VUB), Department ELEC, Brussels, Belgium;

Vrije Universiteit Brussel (VUB), Department ELEC, Brussels, Belgium,University of Liige, Space Structures and Systems Laboratory, Aerospace and Mechanical Engineering Department, Liege, Belgium;

Vrije Universiteit Brussel (VUB), Department ELEC, Brussels, Belgium;

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正文语种 eng
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关键词
Polynomial nonlinear state-space; Hysteretic system; Bouc-Wen; Tensor decomposition; Canonical polyadic decomposition; Decoupling multivariate polynomials;

机译：多项式非线性状态空间;磁滞系统;Bouc-Wen;张量分解典型的多峰分解;解耦多元多项式;

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专利

1. A nonlinear state-space approach to hysteresis identification [J] . J.P. Noeel, A.F. Esfahani, G. Kerschen, Mechanical systems and signal processing . 2017,第ptaB期

机译：非线性状态空间滞后识别方法
2. Parameter identification for nonlinear models from a state-space approach ? [J] . Jules Matz, Abderazik Birouche, Benjamin Mourllion, IFAC PapersOnLine . 2020,第2期

机译：来自状态空间方法的非线性模型的参数识别？
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机译：基于变分贝叶斯的线性相关未知参数的非线性状态空间模型的系统识别
4. Hysteresis Identification Using Nonlinear State-Space Models [C] . J. P. Noel, A. F. Esfahani, G. Kerschen, IMAC Conference and Exposition on Structural Dynamics . 2016

机译：使用非线性状态空间模型的滞后识别
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机译：一种基于耦合有限元/状态空间建模技术的饱和涡轮发电机参数识别的人工神经网络方法。
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机译：扩展卡尔曼滤波器用于生化网络非线性状态空间模型中参数的估计
7. Parameter reduction in nonlinear state-space identification of hysteresis [O] . Esfahani, Alireza Fakhrizadeh, Dreesen, Philippe, Tiels, Koen, 2017

机译：非线性状态空间识别中的参数约简滞后
8. Parameter Identification for State-Space Models with Nuisance Parameters [R] . Spall, J. C., Garner, J. P. 1990

机译：具有扰动参数的状态空间模型的参数识别

Parameter reduction in nonlinear state-space identification of hysteresis

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