The open-loop transfer function of a unity feedback control system is given by G(s) = 25 / s(s+5).
a. Calculate the natural frequency of oscillation, the damped frequency of oscillations, damping ratio, the exponential frequency, and percentage overshoot for a unit step input.
b. The non-zero and finite steady-state error for the appropriate input depends on the system type.
c. If the damping ratio is to be made 0.75 from the original value obtained in (a) using tachometer feedback, calculate the tachometer constant Kt and determine the percentage overshoot then.
d. Plot the step response of the two systems obtained in (a) and (c) and mark the rise time, peak time, and overshoot using the data cursor.