For the feedback block diagram shown below, develop the transfer function for the feedback control loop. If the process is the second$-$order model with $Kp=1,{}_p=5$ and $=1\mathrm{.}5$;$G_c(s)=2,G_a(s)=1,G_s(s)=1$; determine control system dynamic behavior including the system gain, the natural period ${}_n$ and the damping factor $.$