A second-order real system has the following properties:
a) the damping ratio $\zeta=0.5$ and undamped natural frequency $\omega _{n}=10$ rad/s
b) the steady state value of the output, to a unit step input, is $1.02$.
The transfer function of the system is
- $\frac{1.02}{s^{2}+5s+100}$
- $\frac{102}{s^{2}+10s+100}$
- $\frac{100}{s^{2}+10s+100}$
- $\frac{102}{s^{2}+5s+100}$