Question: The transfer function of a closed-loop system is [ mathrm{T}(s)=frac{mathrm{K}}{s^{2}+(3-mathrm{K}) s+1} ] where (mathrm{K}) is the forward path gain. The root locus plot of the
The transfer function of a closed-loop system is
\[
\mathrm{T}(s)=\frac{\mathrm{K}}{s^{2}+(3-\mathrm{K}) s+1}
\]
where \(\mathrm{K}\) is the forward path gain. The root locus plot of the system is

(a) x (c) K = 0 K= 1 K = 0 K = 14 K = 0 K = 0 jo OK= OK = 00 jo K=0 15 b (b) (d) K = 3 K = 1 K = 0 K = 0 K = 3 jo jo K=0 b
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The root locus plot is a graphical representation of the closedloop pole locations as a system parameter typically the gain K is varied from zero to infinity The given transfer function is Ts fracKs2 ... View full answer
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