Second-Order Systems
Consider the following transfer function, with a = 2, b = 40, and c = 6:
G(s) = 10/as² + bs + c
Do the following:
a. Determine the damping ratio, ζ, and the natural frequency, wn.
b. State whether this system is unstable, undamped, underdamped, critically damped, or overdamped.
c. Select a new value of b to get an underdamped response for a step input with a peak time of tp = 3 s.