Measurements conducted on a servomechanism show the system response to be:
c(t)=1+0.2 e⁻⁶⁰ ᵗ-1.2 e⁻¹⁰ ᵗ
When subjected to a unit step input:
a) Obtain the system closed-loop T.F.
b) Determine the system undamped natural frequency and damping ratio.