10 2e-0.25 8s+1 -0.158 28+1 Q.3: Consider a sampled-data control system. It is known that the valve transfer function is given by G,(s) = 72, the process transfer function is given by Gp(s) and the transmitter transfer function is given by Gm(s) = Do the following: Write the effective continuous-time transfer function of the system, Ge(s). Compute the first-order plus time delay transfer function Gf(s) by approximating the Ge(s) using Skogestad's half rule (easy and recommended) or from step-response of Gc(s). 1 Derive an equivalent discrete-time transfer function Gf(q ) of the process Gf(s) with a sampling period Tg = 1 s. If the computer control is proportional negative feedback control with Gk (q-1) = Kc, for what values of the controller gain is the closed loop system Gy(9-) stable? =