Question $(3)$:

For the following model:

$y(z)=\frac{Z^{-1}+2Z^{-2}}{1-1\mathrm{.}7Z^{-1}+0\mathrm{.}72Z^{-2}}u(z)$

Design a digital controller using pole placement that satisfies the following

$\frac{C}{\frac{?}{?}}C$ s equation: $T=1-0\mathrm{.}904Z^{-1}.$