Q$2$ Pole placement.

Consider the control system shown in figure.

$12$ Pole placement.

consider the control system shown $in$ figure.

$G_p(s)=\frac{1}{s(s^2+4s+5)}$ and $G_c(s)=(K_{d}s+K_p+\frac{K_i}{s})$

compensator $to$ place the closed$-$

$20$ Points

Design the given compensator to place the closed$100p$ poles at $-5$ and $-5+-j6.$ Name all the factors.