A first order system having a transfer function given as
Gp(s) = 2/(0.5s + 1)
desired to be controlled with a closed-loop digital control block diagram just having sampler in the forward path (i.e., measurements are realized via an analog device). PI controller is used as a digital controller and a zero order holder is utilized for all reconstruction purposes. Moreover, the measurement device has a unity transfer function ( i .e.,G m (s)=1). The sampling time is used as T = 1 sec.
a) Plot the mentioned block diagram by stating all the details (transfer functions, sampling time and etc.) onto it.