传递函数辨识(3):正弦响应两点法和多点法

Transfer Function Identification.Part C:Two-Point and Multi-Point Methods Based on the Sine Responses

系统在正弦信号激励下的输出称为系统的正弦响应。在单频正弦信号、双频正弦信号和多频正弦信号激励下,利用系统的正弦响应观测数据,讨论确定一阶系统、二阶系统、高阶等容惯性系统传递函数参数代数解的两点法、四点法和多点法,所提出的方法能够避免直接求解超越方程,且原理简单,实现方便。

The output of a system driven by sine signals is called the sine response.By means of the sine response data,this paper presents two-point methods,four-point methods and multi-point methods for identifying the parameters of first-order,second-order and high-order systems described by transfer functions using single-frequency,dual-frequency and multifrequency sine signals as the inputs.The proposed algebraic methods of determining the parameters of the transfer functions have simple mechanism and ease to understand,and avoid solving some transcendental equations.