A closed-loop system with unity feedback has a loop transfer function L(s) =Gc(s)G(s) = 100/[s(s+10)]. This results in an underdamped second-order transfer function.
a. Use the margin command in Octave to find the phase margin and the crossover frequency.
b. Estimate the damping factor.
c. Estimate the frequency of oscillation of the natural response.
d. Estimate the percent overshoot and the peak time.
e. Estimate the rise time of the system.