The following transfer function:

$G(s)=\frac{K}{s+1}{e}^{-T_{d}s}$

where $K$ is the gain, $$ is the time constant, and $T_d$ is the time delay. Obtain the transfer function Gzas$($z$)$ for the system in terms of the system parameters. Assume that the time delay $T_d$ is a multiple of the sampling period $T.$