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传递函数辨识(14):频率响应迭代参数估计(串联情形)

作者:时间:2020-06-15点击数:

全文下载:  202003001.pdf

 

文章编号: 1672-6987(2020)03-0001-20; DOI: 10.16351/j.1672-6987.2020.03.001

 

 

丁锋1,2, 徐玲1, 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)

 

摘要: 针对不同一阶环节串联而成的系统,基于系统的幅频特性和相频特性观测数据,分别研究了幅频特性、相频特性、幅频相频联合、幅频相频耦合的梯度迭代算法、多新息梯度迭代算法、牛顿迭代算法和多新息牛顿迭代算法等。文中的方法可以推广用于其他传递函数描述的动态系统参数辨识,如具有共轭零点极点、重零点极点传递函数的参数辨识以及任意非线性函数的参数估计。

关键词: 传递函数; 参数估计; 迭代辨识; 频率特性; 梯度搜索; 牛顿搜索; 多新息辨识理论; 耦合辨识概念

 

中图分类号: TP 273文献标志码: A

引用格式: 丁锋, 徐玲, 刘喜梅. 传递函数辨识(14):频率响应迭代参数估计(串联情形)\[J\]. 青岛科技大学学报(自然科学版), 2020, 41(3): 1-20.

 

DING Feng, XU Ling, LIU Ximei. Transfer function identification. Part N: Iterative parameter estimation based on the frequency characteristics (cascade case)\[J\]. Journal of Qingdao University of Science and Technology(Natural Science Edition), 2020, 41(3): 1-20.

 

Transfer Function Identification. Part N: Iterative Parameter Estimation

Based on the Frequency Characteristics (Cascade Case)

 

DING Feng1,2, XU Ling1, 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)

 

Abstract: For the first-order link cascade systems with distinct zeros and poles, this paper studies the gradient-based iterative (GI) algorithms, the multi-innovation GI algorithms, the Newton iterative (NI) algorithms, the multi-innovation NI algorithms based on the amplitude frequency characteristic data and phase frequency characteristic data of the systems. Although the methods in this paper are proposed for transfer functions with distinct poles, they can be extended to the parameter identification of other transfer functions with conjugate poles and duplicated poles and nonlinear systems.

Key words: transfer function; parameter estimation; iterative identification; frequency characteristics; gradient search; Newton search; multi-innovation identification theory; coupling identification concept

 

收稿日期:  2020-04-11

基金项目: 国家自然科学基金项目(61873111).

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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