Question: A feedback compensated system is shown below. Do the following: (a) Find the value of (mathbf{a}) and (mathbf{b}) in minor feedback loop so as to

A feedback compensated system is shown below. Do the following:

R(S) K G(s) = a s(s+ 4) (s +9) H (s) =

(a) Find the value of \(\mathbf{a}\) and \(\mathbf{b}\) in minor feedback loop so as to achieve the settling time of 1 second with \(5 \%\) peak overshoot for the step response.
(b) Find the value of \(\mathrm{K}\) so as to force the major loop response to exhibit peak overshoot of \(10 \%\) to a step input.

R(S) K G(s) = a s(s+ 4) (s +9) H (s) = (s + b) Y(s)

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