传递函数辨识(15):频率响应一阶系统参数估计  

Transfer Function Identification.Part O:Parameter Estimation for First-Order Systems Based on the Frequency Characteristics

作　　者：丁锋[1,2] 徐玲[1] 刘喜梅[2] DING Feng;XU Ling;LIU Ximei(School of Internet of Things Engineering,Jiangnan University,Wuxi 214122,China;College of Automation and Electronic Engineering,Qingdao University of Science and Technology,Qingdao 266061,China)

机构地区：[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

出　　处：《青岛科技大学学报（自然科学版）》2020年第4期1-19,共19页Journal of Qingdao University of Science and Technology:Natural Science Edition

基　　金：国家自然科学基金项目(61873111).

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。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.

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 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]