Question: Finding damping ratio from transfer function?



Assume I have a transfer function in "s" term and symbolic parameters (A, B, C, and D).

TF := (1+s*D)/(A*s^2 + B*s + C)



How can I convert the above TF in generic form in term of damping ratio?

The generic form can be written as (1+sD)/(s^2 + 2*damp*wn*s + wn^2)

Should I use a "collrect" or "simpligy" function to re-write original TF in generic form?

Let's say we re-write TF in generic form.

Then how can I extract the value of "wn" and "damp" value?







As known, generic form of transfer function in damping ratio.




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