考研851 自动控制原理
真题 · image
\[0-20\lg\frac{0.5}{0.05}=-20\]
\[0-20\lg\frac{0.5}{0.05}+20\lg\frac{10}{2}=-6\]

图:客观索引

(3)

\[G=\dfrac{50\left(\dfrac{s}{0.5}+1\right)}{s\left(\dfrac{s}{0.05}+1\right)\left(\dfrac{s}{10}+1\right)\left(\dfrac{s}{20}+1\right)}\]

由图可见剪切频率为5

相位裕度:\(\gamma=180°-90°+arctg\dfrac{\omega_c}{0.5}-arctg\dfrac{\omega_c}{0.05}-arctg\dfrac{\omega_c}{10}-arctg\dfrac{\omega_c}{20}\)