Figure 3a below shows the block diagram of a control system. Determine the equivalent single block that represents the closed loop transfer function: T(s) = C(s)/R(s)
A unity negative feedback system is shown in Figure 3b below with the transfer function: Gc(s) = K and plant G(s).
G(s) = 1 / (s(s + 1)(s + 2))
i. Determine the cut off point of the asymptotes and its angles.
ii. Sketch the root locus with its asymptotes.
[Note: the break-away point is located at s = -0.42]
