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Question
根轨迹的渐近线:[...]
Answer

当开环有限极点数\(n\)大于有限零点数\(m\)时,有\(n-m\)条根轨迹分支沿着与实轴交角为\(\varphi_a\)、交点为\(\sigma_a\)的一组渐近线趋向无穷远处,且有

\(\displaystyle\varphi_a=\frac{(2 k+1) \pi}{n-m} ; \quad k=0,1,2, \cdots, n-m-1\)

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


Question
根轨迹的渐近线:[...]
Answer
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Question
根轨迹的渐近线:[...]
Answer

当开环有限极点数\(n\)大于有限零点数\(m\)时,有\(n-m\)条根轨迹分支沿着与实轴交角为\(\varphi_a\)、交点为\(\sigma_a\)的一组渐近线趋向无穷远处,且有

\(\displaystyle\varphi_a=\frac{(2 k+1) \pi}{n-m} ; \quad k=0,1,2, \cdots, n-m-1\)

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

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根轨迹绘制基本法则·法则三
根轨迹的渐近线:当开环有限极点数\(n\)大于有限零点数\(m\)时,有\(n-m\)条根轨迹分支沿着与实轴交角为\(\varphi_a\)、交点为\(\sigma_a\)的一组渐近线趋向无穷远处,且有 \(\displaystyle\varphi_u=\frac{(2 k+1) \pi}{n-m} ; \quad k=0,1,2, \cdots, n-m-1\) 和 \(\sigma_a=\frac{\displaystyle\sum_{i=1}^n p_i-\sum_{j=1}^m z_j}{n-m}\)

Summary

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Details

No repetitions


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