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滤波辨识(13): 类多变量方程误差ARMA系统的滤波递阶广义增广迭代参数辨识

作者:时间:2024-09-11点击数:



全文下载: 202404001.pdf


文章编号: 1672-6987202404-0001-13 DOI 10.16351/j.1672-6987.2024.04.001



丁锋1,2, 万立娟2, 栾小丽1, 徐玲3, 刘喜梅2(1.江南大学 物联网工程学院, 江苏无锡 214122;

2.青岛科技大学 自动化与电子工程学院, 山东青岛 266061;

3.常州大学 微电子与控制工程学院, 江苏常州 213159)


摘要: 针对类多变量方程误差自回归滑动平均(M-EEARMA-like)系统,利用滤波辨识理念和递阶辨识原理,研究和提出了滤波递阶广义增广梯度迭代辨识方法、滤波递阶多新息广义增广迭代梯度辨识方法、滤波递阶广义增广最小二乘迭代辨识方法、滤波递阶多新息广义增广最小二乘迭代辨识方法。这些滤波递阶广义增广迭代参数辨识方法可以推广到其他有色噪声干扰下的线性和非线性多变量方程误差随机系统中。


关键词: 参数估计; 迭代辨识; 辅助模型辨识; 多新息辨识; 递阶辨识; 滤波辨识; 最小二乘; 多变量系统


中图分类号: TP 273文献标志码: A


引用格式: 丁锋, 万立娟, 栾小丽, . 滤波辨识(13): 类多变量方程误差ARMA系统的滤波递阶广义增广迭代参数辨识[J. 青岛科技大学学报(自然科学版), 2024, 45(4): 1-13.


DING Feng, WAN Lijuan, LUAN Xiaoli, et al. Filtering identification.Part M: Filtering-based hierarchical generalized extended iterative parameter identification for multivariable equation-error ARMA-like systemsJ. Journal of Qingdao University of Science and TechnologyNatural Science Edition), 2024 454): 1-13.


Filtering Identification. Part M: Filtering-Based Hierarchical

Generalized Extended Iterative Parameter Identification for

Multivariable Equation-Error ARMA-Like Systems


DING Feng1,2, WAN Lijuan2, LUAN Xiaoli1, XU Ling3, LIU Ximei2

(1.School of Internet of Things Engineering,Jiangnan University, Wuxi 214122,China;

2.College of Automation and Electronic Engineering, Qingdao University of Science and Technology,Qingdao 266061,China;

3.School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213159, China)


Abstract: For multivariable equation-error autoregressive moving average-like (M-EEARMA-like) models, this paper investigates and proposes filtered hierarchical generalized extended gradient-based iterative identification methods,filtered hierarchical multi-innovation generalized extended gradient-based iterative identification methods, filtered hierarchical generalized extended least squares-based iterative identification methods, and filtered hierarchical multi-innovation generalized extended least squares-based iterative identification methods by means of the filtering identification idea and the hierarchical identification principle from available input-output data. These filtered hierarchical generalized extended iterative identification methods can be extended to other linear and nonlinear multivariable stochastic systems with colored noises.


Key words: parameter estimation; iterative identification; auxiliary model identification; multi-innovation identification; hierarchical identification; filtering identification; least squares; multivariable system


收稿日期: 2024-07-01

基金项目: 国家自然科学基金项目(62273167).

作者简介: 丁锋(1963—),男,博士,泰山学者特聘教授,博士生导师.



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