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I have the following diagram of a system's step response:

enter image description here

I'm having trouble understanding how to calculate the system's transfer function for fourth order. hir: How do I find the second order transfer function from this step response diagram? I have learned how to do it for the second but I do not know how to calculate this for the fourth order.

enter image description here

JYelton
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dinoo
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    Manually do it using a simulator to mimic the response. A bit fiddly of course but, that's what you get with 4th order filters. – Andy aka Aug 04 '20 at 16:51
  • Thanks. I did it with matlab and i got it. i want to know is there any method to calculate it like 2. order? – dinoo Aug 04 '20 at 16:56
  • You can probably find $ \omega_n $ from the oscillations on that output, but being able to determine $p_1,p_2,\xi$ will not be as easy. If you have that data, I would suggest using some ARMA toolbox to identify such 4th order model. – jDAQ Aug 04 '20 at 16:56
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    Do you have Matlab's system identification toolbox? – Chu Aug 04 '20 at 19:41
  • I can make an active filter look like that on an interactive simulator, but why bother? – Tony Stewart EE75 Aug 05 '20 at 01:59

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