Consider the following transfer function of an unstable process:

This process is controlled by a PI controller with gain of K, and time constant (1) of 1. Assume that G_m = G_v = 1 .

a) Construct the transfer function of the closed loop system. b) Is it possible to make this system stable using this PI controller? If possible, find the range for the controller gain? c) For which value of K_{c} the closed loop system is critically damped?

GP(s)=2s14