A colleague of yours needs to find the transfer function from the unit step response of the 2nd order system shown in Figure 1. Using the discussion and notation that we covered in class, find the transfer function G(s) and the terms: a, (read as zeta!), wa, 0, o, YFV, Wn, and the poles of the system. Write G(s) in the form: G(o) = (a +0)? + u} (s +0)? + wi 2.5 2 1.5 1 T = 0.15 s d. 0.5 0.5 1 1.5 Time (seconds) Figure 1: A system's output after a unit step is applied.