传递函数辨识(16):频率响应二阶系统参数估计  

Transfer Function Identification.Part P:Parameter Estimation for Second-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5期1-21,共21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：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。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.

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 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]