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Question

根轨迹上的点必须满足相角条件和幅值条件:

- 相角条件: [...]

- 幅值条件: [...]

Answer

- 相角条件:\(\begin{gathered}\sum_{j=1}^m \angle\left(s-z_j\right)-\sum_{i=1}^n \angle\left(s-p_i\right)=(2 k+1) \pi \\k=0, \pm 1, \pm 2, \cdots\end{gathered}\)

- 幅值条件:\(\displaystyle K^*= \frac{\displaystyle\prod_{i=1}^n\left|s-p_i\right|}{\displaystyle \prod_{j=1}^m\left|s-z_j\right|}\)


Question

根轨迹上的点必须满足相角条件和幅值条件:

- 相角条件: [...]

- 幅值条件: [...]

Answer
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Question

根轨迹上的点必须满足相角条件和幅值条件:

- 相角条件: [...]

- 幅值条件: [...]

Answer

- 相角条件:\(\begin{gathered}\sum_{j=1}^m \angle\left(s-z_j\right)-\sum_{i=1}^n \angle\left(s-p_i\right)=(2 k+1) \pi \\k=0, \pm 1, \pm 2, \cdots\end{gathered}\)

- 幅值条件:\(\displaystyle K^*= \frac{\displaystyle\prod_{i=1}^n\left|s-p_i\right|}{\displaystyle \prod_{j=1}^m\left|s-z_j\right|}\)

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相角条件和幅值条件
根轨迹上的点必须满足相角条件和幅值条件: - 相角条件:\(∑j=1m∠(s−zj)−∑i=1n∠(s−pi)=(2k+1)πk=0,±1,±2,⋯\begin{gathered}\sum_{j=1}^m \angle\left(s-z_j\right)-\sum_{i=1}^n \angle\left(s-p_i\right)=(2 k+1) \pi \\k=0, \pm 1, \pm 2, \cdots\end{gathered}\) - 幅值条件:\(K^*=\frac{\prod_{i=1}^n\left|s-p_i\right|}{\prod_{j=1}^m\left|s-z_j\right|}\)

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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