Natural frequency second order transfer function

Discussion in 'Homework Help' started by Ande, Nov 9, 2018.

Feb 3, 2017
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0
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.

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2. drc_567 AAC Fanatic!

Dec 29, 2008
686
103
... 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.

3. MrAl AAC Fanatic!

Jun 17, 2014
6,383
1,382
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.

• System-3.jpg
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