A feedback system has the closed-loop transfer function shown below:
Find K so that the settling time t_s = 0.2 seconds for a 1% tolerance.
C(s) = 100K1
R(s) = 20s(1+0.5s)
G(s) = C(s) / (1 + C(s)G(s))
G(s) = 100K1 / (20s(1+0.5s) + 100K1 + (100)(20)K2s)