对称迟后-超前校正的一体化设计方法

Integrated Design Method Of Symmetric Lag-Lead Compensation

本文首先分析了一类迟后-超前校正环节的频率特性,严格证明了在半对数坐标系下,其幅频特性是轴对称的,其相频特性是中心对称的,进而将此类校正环节称为对称迟后-超前校正环节。在校正环节的参数满足一定条件下,本文指出:对称迟后-超前校正环节在超前环节作用的频段内,能提供正的相角和负的幅值。进一步,给出了该校正环节所能提供的近似最大相角和所对应频率,并给出了在该频率点该校正环节的近似幅值。基于这些结论,给出了利用对称迟后-超前环节进行校正的两种一体化设计方法。

In this paper,the frequency characteristics of a kind of lag-lead compensation device are analyzed.It is strictly proven that the amplitude-frequency characteristics of the compensation device are axisymmetric and the phase-frequency characteristics are centrally symmetric in a semilog coordinate system.Due to these reasons,this kind of compensation device is called a symmetric lag-lead compensation device.When the parameters of the compensation device satisfy certain conditions,it is proven that the symmetric lag-lead compensation device can provide positive phase angle and negative amplitude in the frequency band where the lead compensation device is activated.Furthermore,an approximate maximum phase angle by the compensation deviceand corresponding frequency provided are given.In addition,the approximate amplitude provided by the compensation device at the approximate maximum phase angle frequency point is also given.Based on these conclusions,two kinds of integrated design methods using the symmetric lag-lead compensation device for correction are presented.