Problem $2$: PID Controller and BIBO

Consider the system in Problem $1.$

Please check whether the closed$-$loop system is BIBO if you have a P controller with $K_p=4.$ You can use Matlab function "roots" to find the poles of the transfer function.

Figure $1$: Closed$-$loop feedback system

$1$

Please check whether the closed$-$loop system is BIBO if you have a PID controller with $K_p=3,K_{\text{I}}=0\mathrm{.}5,$ and $K_D=2.$ You can use Matlab function "roots" to find the poles of the transfer function.