Consider the following transfer function of an unstable process: GP(s)=2s14 This process is controlled by a PI controller with gain of Kc and time constant (1) of 1 . Assume that Gm=Gv=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 Kc, the closed loop system is critically damped? Consider the following transfer function of an unstable process: GP(s)=2s14 This process is controlled by a PI controller with gain of Kc and time constant (1) of 1 . Assume that Gm=Gv=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 Kc, the closed loop system is critically damped