Problem $4.$ Consider the following remote$-$controlled TV camera $($Fig$.4).$

$($a$)$

$($b$)$

Fig. $4.($a$)$ The remote$-$controlled TV camera system. $($b$)$ Diagram of control system. $K=3,{}_1=0\mathrm{.}1,$ and ${}_1=0\mathrm{.}2.$

Let $[$:$T_d(s)=\frac{1}{s^2+1}$