Natural frequency second order transfer function

drc_567

Joined Dec 29, 2008
984
... something is not quite right with your fractional multiplication. Try multiplying numerator and denominator by the s(s+1) factor.
... You are given the percent overshoot. You can find a formula for \(\zeta\), given PO ... ought to be in the text.
 

MrAl

Joined Jun 17, 2014
7,895
I have been attempting to solve the problem attached (question 1). I am however stuck on getting an expression for the natural frequency. Please help in this regard. My attempt is also attached.
Hello,

I agree with the previous post in that your math is not correct when calculating Gs/(1+Gs*Hs).
Try that again and if successful you will see the right constant in the denominator which represents w^2.

Also, the diagram was extremely hard to read. Here is a better diagram.
 

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