Question: Consider the closed-loop feedback control system shown in Fig. P4.8 Use Routh-Hurwitz criterion to determine the range of (mathrm{K}) for which the system is stable.

Consider the closed-loop feedback control system shown in Fig. P4.8

R(S) 2 K (s + 30s +200) s (s + 2) C(s)

Use Routh-Hurwitz criterion to determine the range of $\mathrm{K}$ for which the system is stable. Find also the number of roots of the characteristic equation that are in the right half of $s$-plane for $\mathrm{K}=0.5$.

R(S) 2 K (s + 30s +200) s (s + 2) C(s)

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