基于频响相角数据的频域子空间辨识  

A Frequency Domain Subspace Identification Method Based on Phase Response Data

作　　者：刘鲲鹏[1] 朱儒[1,2] 彭程[1] 梁青[1] 

机构地区：[1]中国科学技术大学自动化系,合肥230027 [2]海军蚌埠士官学校,安徽蚌埠233012

出　　处：《控制工程》2016年第10期1538-1541,共4页Control Engineering of China

摘　　要：研究了利用频响相角辨识系统零极点的问题,给出了一种新的频域子空间辨识方法。该算法适用于频响幅值不可信而相角较为可信的情况。通过构造新的系统模型,将原系统频响相角信息转变为该系统完整的频响信息,构造其输入输出方程,通过子空间辨识得到新系统的状态矩阵,最终得到了原系统的零极点,该算法与矢量拟合法相比显著地减小了计算量,且在理论上不存在收敛问题。仿真实验证明,在处理频响相角数据的辨识问题时,该算法可以达到很高的精度,文中给出的物理实验也验证了它的准确性和实用性。The problem of identifying the zeros and poles of a system by its phase response date is discussed in this paper, and a new method of frequency domain subspace identification is presented. This method can be used in the case when the magnitude of the frequency response is unreliable while the phase is reliable relatively. A new system is built so that the phase response data can be transferred into a series of complete frequency response data. When the new input and output equation is built, the subspace identification method is utilized to it. The zeros and poles can be calculated from the characters of the state matrix precisely. This algorithm is less time-consuming than the vector fitting method and it is also free from convergence problems theoretically. Numerical simulation shows that this method can be very precise when dealing with identification problems from phase response data. The experiment in the article also proves its accuracy and practicability.

关 键 词：子空间方法 频域辨识 频响拟合 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]