Text: Control engineering
(b)
Figure 2.1 shows a rotational mechanical system with an input torque, T(t), that produces an angular displacement of θ(t).
i. Derive the transfer function of the given system, s/T(s). (5 marks)
ii. Based on the system shown in Figure 2.1, solve the values of J and D to yield 20% overshoot and a settling time at 2% error band of 2 seconds. (16 marks)
T(t) = 0(t)
K = 5000 N-m/rad
D
Figure 2.1: Rotational mechanical system