Figure 1.1 shows a block diagram representation that is proposed by a company for their new equipment. Answer the questions below to help a new engineer explain the control system to their customer. (a) Simplify the main control system in Figure 1.1 and obtain the overall system transfer function, Y(s)/R(s) R(s) + =picolo G1 G2 + Y(s) 12 R(s) s +8s +15 2 G1 G2 + + Figure 1.1 A block diagram representation of the main control system. (18 marks) G1 Y(s) (b) Estimate the initial and final values of a unity step response for a sub system of the closed-loop transfer function that is represented as below.