Question: A certain unity feedback system has the following open-loop system transfer function. G(s) = 5K / s3 + 6s2 + 5s Obtain the Bode plots

A certain unity feedback system has the following open-loop system transfer function.
G(s) = 5K / s3 + 6s2 + 5s
Obtain the Bode plots and compute the phase and gain margins for
a. K = 2
b. K =20
c. Use the Bode plots to determine the upper limit on K for the system to be stable. Which is the limiting factor: the phase margin or the gain margin?

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