How do I estimate the values of \$K\$, \$\zeta\$ and natural frequency, given the plot of unit step response of the system in time domain? I figured that at \$t = \infty\$, \$Y(t) = K\$ and I calculate that. How do I go about calculating the \$\zeta\$ and \$\omega\$ from the graph?
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Show the graph of the step response. – Andy aka Feb 22 '22 at 21:46
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Its just like the normal graph of a underdamped system. Kinda like this : https://apmonitor.com/pdc/uploads/Main/2nd_order_exercise_1c.png – averagemathguy69 Feb 22 '22 at 21:52
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1@averagemathguy69 It wouldn't hurt to give more details if you want a good response. I doubt you'd want a "kinda like this" answer. Otherwise, this seems like a duplicate. – a concerned citizen Feb 22 '22 at 22:18
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1@aconcernedcitizen Thanks a lot! This is my first time posting here and I am sorry about not posting the details, I'll keep that in mind from now! I got my answer from the link you had posted, this helped A LOT. Thanks again. – averagemathguy69 Feb 22 '22 at 22:26
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@averagemathguy69 Then maybe the moderators can mark this as a duplicate. – a concerned citizen Feb 23 '22 at 10:51
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Does this answer your question? How do I find the second order transfer function from this step response diagram? – a concerned citizen Feb 25 '22 at 17:11