Question: Determine value of (alpha) such that a closed loop system with loop transmittance [ G(s)=frac{left(1+frac{s}{alpha}ight)^{2}}{s^{3}} ] exhibits phase margin (PM) of (30^{circ}).

Determine value of $\alpha$ such that a closed loop system with loop transmittance

\[
G(s)=\frac{\left(1+\frac{s}{\alpha}ight)^{2}}{s^{3}}
\]

exhibits phase margin (PM) of $30^{\circ}$.

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