B$-8-14.$ Consider the system shown in Figure $8-81.$ The plant $G_P(s)$ is given by

$G_p(s)=\frac{2(s+1)}{s(s+3)(s+5)}$

Determine the controllers $G_{c1}(s)$ and $G_C(s)$ such that, for the step disturbance input, the response shows a small amplitude and approaches zero quickly $($in a matter of $1$ to $2$ sec $).$ For the response to the unit$-$step reference input, it is desired that the maximum overshoot be $20\%$ or less and the settling time $1$ secor less. For the ramp reference input and acceleration reference input, the steady$-$state errors should be zero.kok