Reducing fast dynamic poles in a transfer function.

Question

Edward Simpson Songel 2021-2-27

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https://ww2.mathworks.cn/matlabcentral/answers/757729-reducing-fast-dynamic-poles-in-a-transfer-function

评论： Edward Simpson Songel 2021-2-28

采纳的回答： Paul

Imagine I have a tf that looks something like this: G(s) = 1/((s+70)*(s+5))

Is there some sort of command that can return a transfer fucntion that get's rid of the fastest dynamic pole?

In the example given above my output would be something like this: G(s)=1/(s+5).

Thanks in advance.

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Answer 1

Paul 2021-2-27

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https://ww2.mathworks.cn/matlabcentral/answers/757729-reducing-fast-dynamic-poles-in-a-transfer-function#answer_635064

编辑：Paul 2021-2-27

在 MATLAB Online 中打开

Maybe freqsep() is what you want:

>> G=tf(1,conv([1 5],[1 70]))
G =
 
         1
  ----------------
  s^2 + 75 s + 350
 
Continuous-time transfer function.
>> [Gs,Gf]=freqsep(G,10)
Gs =
 
  0.01538
  -------
   s + 5
 
Continuous-time transfer function.
Gf =
 
  -0.01538
  --------
   s + 70
 
Continuous-time transfer function.
>> bode(Gs,h);

The dc gain of Gs will need to be adjusted to match the dc gain of G if you intend to use Gs as a low frequency approximation to G. This doc page is a good source for starters. There are also additional pages in Robust Control Toolbox for model reduction.