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We have a model of an open-loop system and its root locus plot ,We add a single pole and/or a single zero to the system,每一种情况会造成什么影响

Question

We have a model of an open-loop system and its root locus plot ,We add a single pole and/or a single zero to the system,每一种情况会造成什么影响

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Solution

在我们的开环系统模型中,我们可以添加一个单独的极点或者零点。这两种情况都会对系统产生影响。

  1. 添加一个极点:你可以把极点想象成一个减速带。当我们在系统中添加一个极点时,就像在赛车道上增加了一个减速带。这会使得系统的响应速度变慢。在根轨迹图上,你会看到轨迹向左移动,这表示系统的响应时间变长了。

  2. 添加一个零点:零点可以被想象成一个加速带。当我们在系统中添加一个零点时,就像在赛车道上增加了一个加速带。这会使得系统的响应速度变快。在根轨迹图上,你会看到轨迹向右移动,这表示系统的响应时间变短了。

所以,添加极点和零点都会改变系统的性能。具体如何改变,就需要通过观察根轨迹图来判断了。

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