Design and Compensation of Discrete Time Control System

Consider the digital filter defined by

$G(z)=\frac{2+2.2z^{-1}+0.2z^{-2}}{1+0.4z^{-1}-0.12z^{-2}}$

Realize this filter in the ladder scheme.

Realize the given digital controller by series programming.

$\frac{Y(z)}{X(z)}=\frac{4(z-1)(z^{2}+1.2z+1)}{(z+0.1)(z^{2}-0.3z+0.8)}$

Realize the given digital controller by ladder programming.

$G(z)=\frac{2z^{2}+2.2z+0.2}{z^{2}+0.4z-0.12}$