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I have question where I am asked to find the % overshoot of a system based only on its transfer function.

T(s) = 15(s+2.1)

(s+2)(s^{2}+4s+29)(s^{2}+2s+50)

I'm assuming I need to use second order assumptions and then find the damping ratio (zeta) to find the %OS, but this equation looks a little complicated for that.

I noticed that the numerator (s+2.1) could be cancelled with the (s+2) term in the denominator because they're similar. Am I allowed to do that?

Then I'm still left with two quadratic equations on the bottom.. I still can't see how you could approximate the %OS.

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# Simplifying a transfer function to find overshoot

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