The plant transfer function is given as Gp(s) (s+1/6)/(s-0.6) The compensators G.(s) considered are proportional and integral given as 1) Ge(s) = K 2) Ge(s) = K/s For each of the above compensators in the feedback system (see Figure), check the following aspects of control system design. 1. Sketch by hand the root locus for the above compensators. 2. Choose close-loop poles and determine the steady state output of the closed loop system for a unity step input R(s). Explain the reason for your choice of closed-loop poles. 3. Sketch by hand the time response for your choice of closed-loop poles for each compensator. Again, explain the reason for your choice of closed-loop poles. 4. Discuss the pros and cons for each compensator. R(s) C(s) Gc(s) Gp(s)