5. (3 points) An open-loop unstable process can be stabilized with correct proportional control action. Consider a traditional feedback control loop (shown below) with Gm=Gy=1. Y(S) The process is described as US) -TpS+1 a. b. c. Demonstrate the response of the process is unstable without a controller. Find the range of Kc values that lead to a stable closed loop response. (Assume that Tp must be positive). The result of part b shows that KyKcKvKp>0 is a simplified statement when one of the processes is unstable. An increase in setpoint in closed loop response should cause an increase in the control variable (a positive gain). This is true if the gain of the closed loop response is positive. Show that the gain of Y(s)/Ysp(s) is positive within the range of your answer to part a. D(S) GD Yo(s) Y so(s) E(s) P(s) U(s) (s) Km Y(S) GO Gv GP Ym(s) GM