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根轨迹绘制基本法则·法则五

根轨迹的分离点与分离角:两条或两条以上根轨迹分支在\(s\)平面上相遇又立即分开的点,称为根轨迹的分离点,分离点的坐标\(d\)是下列方程的解:

\(\displaystyle\sum_{j=1}^m \frac{1}{d-z_j}=\sum_{i=1}^n \frac{1}{d-p_i}\)

式中,\(z_j\)为各开环零点的数值;\(p_i\)为各开环极点的数值;分离角为\(\displaystyle\frac{(2k+1)\pi}{n-m}\).

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