Problem $4$:

Consider the closed$-$loop control system shown in the following figure. Use MATLAB to create a Simulink block diagram representing the system and obtain the response $\backslash ($ c$($t$)\backslash )$ to the unit step input. Solve for the following cases: $\backslash (\backslash$mathrm$\{$k$\}=0\mathrm{.}01,0\mathrm{.}1,0\mathrm{.}5,1\backslash ),$ and $5.$

$($Hint: simulate for $20$ sec with sampling time $0\mathrm{.}01$ sec $)$