A second order system has the following properties.
The damping ratio, ξ = 0.8 damped frequency, ωd = 6 rad/sec
The DC gain of the system is 2.
The transfer function of the system is1
\(\frac{{200}}{{{s^2} + 16s + 100}}\)
2
\(\frac{{100}}{{{s^2} + 16s + 50}}\)
3
\(\frac{{50}}{{{s^2} + 12.8s + 64}}\)
4
\(\frac{{128}}{{{s^2} + 12.8s + 64}}\)