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文章编号: 16726987(2019)05000120; DOI: 10.16351/j.16726987.2019.05.001
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: 利用系统的频率特性观测数据,研究和提出一般传递函数参数的迭代辨识方法,包括梯度迭代辨识方法、多新息梯度迭代辨识方法、最小二乘(迭代)辨识方法、多新息最小二乘(迭代)辨识方法,以及联合迭代辨识方法和耦合迭代辨识方法。文中的方法对一般线性时不变系统传递函数参数辨识是有效的,对共轭极点、重极点等没有限制。
关键词: 传递函数; 参数估计; 迭代辨识; 频率特性; 梯度搜索; 多新息辨识; 耦合辨识
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(10):基于频率响应的迭代参数估计方法\[J\]. 青岛科技大学学报(自然科学版), 2019, 40(5): 120.
DING Feng, XU Ling, LIU Ximei. Transfer function identification. Part J: Iterative parameter estimation methods based on the frequency characteristics\[J\]. Journal of Qingdao University of Science and Technology(Natural Science Edition), 2019, 40(5): 120.
Transfer Function Identification. Part J:
Iterative Parameter Estimation Methods 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: By using the observation data of the frequency characteristics of the systems, this paper studies and puts forward the iterative parameter identification methods for general transfer functions, including the gradientbased iterative identification methods, the multiinnovation gradientbased iterative identification methods, the least squares (based iterative) identification methods, the multiinnovation least squares (based iterative) identification methods, as well as the joint iterative identification methods and the coupled iterative identification methods. The methods proposed in this paper are suitable for the parameter identification of general linear timeinvariant system transfer functions, without the restrictions of conjugate poles and duplicate poles.
Key words: transfer function; parameter estimation; iterative identification; frequency response; gradient search; multiinnovation identification; coupled identification
收稿日期: 20190902
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.