T(s)=C(s)/R(s)= (600/(s+20)(s^{2}+8s+20)\)
Given the control system above,
a. if the input r(t)=5u(t), ie. R(s)=5/s, find the steady-state of C(t),
b. Approximately how many seconds are required for the system to reach steady state? note you two time constants to consider, and
c. Do you expect the transient response to be oscillatory?