Question

Sketch an approximate root locus for a unity feedback system with the following G(s). G(s)=\frac{1}{\left(s^{2}+s\right)\left(s^{2}+4 s+13\right)} On the plot, show only the following: where the poles and zeros are, the number of branches, the real-axis segments, and the asymptotes. Also compute the angles of departure at the complex poles. For this part, leaving the solution in the form of sum of Arc Tangents is sufficient.

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