The response of a second order system obtain in a step test is depicted in Figure 3. It is known that the nth overshoot Sn of the response is given by, where c is the damping ratio. Use this and the response obtained to:
i. Find values of the damping ratio c and the natural radian frequency.
ii. Deduce the system transfer function
This solution contains step-by-step calculations to determine the transfer function of the system. A diagram is included of step response and amplitude with time.