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文章编号： 1672-6987（2020）05-0001-21； DOI： 10.16351/j.1672-6987.2020.05.001
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： 基于功率、电压、电流与电阻的关系, 建立电阻误差准则函数、电压误差准则函数、电流误差准则函数、功率误差准则函数, 应用梯度搜索、最小二乘搜索原理, 推导了估计电阻的递推辨识算法, 包括投影算法、随机梯度算法、多新息随机梯度算法、递推梯度算法、多新息递推梯度算法、递推最小二乘算法、多新息最小二乘算法等。此外, 利用系统的实频特性数据和虚频特性数据, 给出求解二阶传递函数模型参数的代数方法。
关键词： 传递函数; 参数估计; 递推辨识; 频率特性; 梯度搜索； 多新息辨识
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(16): 频率响应二阶系统参数估计［J］. 青岛科技大学学报(自然科学版), 2020, 41(5): 1-21.
DING Feng, XU Ling, LIU Ximei. Transfer function identification. Part P: Parameter estimation for second-order systems based on the frequency characteristics\[J\]. Journal of Qingdao University of Science and Technology（Natural Science Edition), 2020， 41（5）： 1-21.
Transfer Function Identification. Part P: Parameter Estimation for
Second-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: According to the relationship among power, voltage, current and resistance through defining the resistance error, voltage error, current error and power error criterion functions, this paper derives the recursive identification methods for estimating the resistance from measured voltage, current and power on the resistance, by using the gradient search and the least squares search principle, including the projection algorithms, stochastic gradient (SG) algorithms and multi-innovation SG algorithms, recursive gradient (RG) algorithms and multi-innovation RG algorithms, recursive least squares (LS) algorithms and multi-innovation LS algorithms etc. In addition, this paper gives the algebraic methods for determining the parameters of the second-order transfer function models from the real frequency characteristic data and the imaginary frequency characteristic data of the systems.
Key words: transfer function; parameter estimation; recursive identification; frequency response; gradient search; multi-innovation identification
收稿日期： 2020-08-29
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.
