(Solved): QUESTION 3 (15 marks) A control system as shown in figure (3) has a transfer function of G 1 (s-1) ...

QUESTION 3 (15 marks) A control system as shown in figure (3) has a transfer function of G 1 (s-1)(s-2) Y/s) ? G(s) G(s) R(s) Figure (3) (a) Let Go(s)=K. By sketching the root-locus, show that the closed-loop system is always unstable. (5 marks) Let Ge(s)= K(s+2). Sketch the root-locus and show that the closed-loop system can be stabilized. Determine the range of K for the closed-loop system to remain stable. (10 marks) (b)