$2($c$)$ Estimate the gain of a proportional controller that produces a closed$-$loop response for $2^{nd}$ order system with decay ratio equal to $\frac{1}{4}.$ The process is described by $G_p(s)=\frac{1}{s^2+3s+1}$ and $G_m(s)=G_f(s)=1$

solve $2$ c