1) a) Can you generate a hand-drawn root locus diagram of the block schematic?
b) Utilizing MATLAB, what is the interval of gain K for which the system remains stable?
c) Determine the gain, oscillation frequency, and overshoot value from the plot when the damping
ratio is 0.16.
R(S)
+
PID
\frac{1}{(s^2+15s+100)(s-1)}
Y(S)