P$4.$ Consider a controller, a ZOH S$/$H device, and a plant in unity feedback CL formation. If the controller TF is $C(z)=\frac{K(z-0\mathrm{.}1)}{(z+0\mathrm{.}5)(z+0\mathrm{.}2)},$ and the plant$-$actuator$-$S$/$H TF is $G(z)=\frac{z}{z^2+z+0\mathrm{.}5},$ with unity feedback and a sampling time $T_s$ of $0\mathrm{.}1$ s $.$ Please:

a$.$ Draw the CL block diagram.

$1$ pt

b$.$ Write the OLTF