use a=5

We consider the closed loop system in Figure 3 consisting of a plant with transfer function G(s) and a Controller with transfer function G. () Gc(s) G(s) Figure 3 where G(s) 1 (s - a)(s + a) m(1) and the parameter a represents the last digit of your ID different from {0,1} Examples (ID: 117815 a=SMID 117810 a=8) Part I: We consider the system in Figure 3 with plant transfer function G(s) and controller transfer function Ge(s) (6 points) Assume Gs) = KO 1. Is the plant transfer function stable? Justify. 2. Sketch the root locus of the closed loop poles. Show all necessary details for the plot, namely break-in and break-away points if any, and asymptotes, 3. Is it possible to stabilize the system with such controller? 4. What do you suggest to be able to stabilize the system? Briefly justify your suggestion using RL concept