Question: Consider the general unity feedback control system given in Figure 5.1, where the plant Transfer Function model is given by [G(s)=frac{s^{2}+2 s+2}{s^{5}+9 s^{4}+33 s^{3}+51 s^{2}+26}]

Consider the general unity feedback control system given in Figure 5.1, where the plant Transfer Function model is given by

\[G(s)=\frac{s^{2}+2 s+2}{s^{5}+9 s^{4}+33 s^{3}+51 s^{2}+26}\]

Find the root locus of the system.

R(s) + Y(s) K G(s) Figure 5.1 Closed-loop unity feedback block diagram.

R(s) + Y(s) K G(s) Figure 5.1 Closed-loop unity feedback block diagram.

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