An armature controlled d$.$c$.$ motor has the transfer function:

$2$

G$($s$)=$

s $($s $+0\mathrm{.}5)$

Determine the corresponding discrete time transfer function G$($z$)$ when the process is

sampled every $0\mathrm{.}5$ s and a zero order hold, Go$($s$)=1-$ e$-$T:

$,$ is included at the input.