非整数阶系统的频率辨识

Identification of non-integer-order systems in frequency domain

中文关键词  非整数阶系统  模拟  辅助变量法  频率辨识

英文关键词  fractional systems  modelling  instrumental variables method  frequency identification

中文摘要

      使用频响数据对非整数阶系统作频域模拟和辨识. 首先, 定义了非整数阶微分器的频率特性, 进而给出了非整数阶系统的奈奎斯特曲线的绘制方法. 然后, 运用方程式误差的辅助变量法, 根据实部和虚部频率数据进行非整数阶系统的频率辨识. 最后, 通过两个数字仿真来验证这种辨识方法.

英文摘要

      The modeling and identification of non-integer-order systems using frequency-response data are studied. The frequency characteristic of a non-integer-order differentiator is defined and a method to obtain the Nyquist plot of a noninteger- order system is given. Based on the least squares technique and an instrumental variable, the identification of the non-integer-order system is performed using the real and imaginary parts of the frequency response. Finally, two simulation examples illustrate this methodology.