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文章编号： 1672-6987（2020）04-0001-19； DOI： 10.16351/j.1672-6987.2020.04.001
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： 论文以揭示电压、电流与电阻关系的欧姆定律为例,在不同误差准则函数下,研究了电阻的各种估计方法。这种代数方法思路清晰,方法简便,已经用于基于脉冲响应和阶跃响应低阶系统传递函数参数的确定。在此基础上,利用系统的实频特性数据和虚频特性数据,研究了利用代数方法确定一阶系统参数的两点法、三点法、多点法。该代数方法可以推广到利用频率特性确定二阶系统的参数。
关键词： 传递函数; 参数估计; 递推辨识; 迭代辨识; 频率特性; 梯度搜索； 牛顿搜索
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(15): 频率响应一阶系统参数估计\[J\]. 青岛科技大学学报（自然科学版）， 2020， 41（4）： 1-19.
DING Feng, XU Ling, LIU Ximei. Transfer function identification. Part O: Parameter estimation for first-order systems based on the frequency characteristics\[J\]. Journal of Qingdao University of Science and Technology（Natural Science Edition), 2020， 41（4）： 1-19.
Transfer Function Identification. Part O: Parameter Estimation for
First-Order Systems Based on the Frequency Characteristics
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: Taking the Ohm law revealing the relation of voltage, current and resistantce as an example, this paper studies various estimation methods of the resistance under different error criterion functions. The algebraic methods are clear and simple, and have been used to determine the parameters of the low-order transfer functions based on the impulse responses and step responses of the systems. On this basis, this paper presents two-point methods, three-point methods and multi-point methods of determining the parameters of first-order transfer functions from the real frequency characteristic data and imaginary frequency characteristic data of the systems. The proposed algebraic methods can be extended to determine the parameters of second-order systems by using the frequency characteristic data.
Key words: transfer function; parameter estimation; recursive identification; iterative identification; frequency response; gradient search; Newton search
收稿日期： 2020-06-06
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.
