The root-locus plot of a closed-loop system with unity negative feedback and transfer function KG(s) in the forward path is shown in the figure. Note that K is varied from 0 to ∞.
Select the transfer function G(s) that results in the root-locus plot of the closed-loop system as shown in the figure.
1
\(\rm G(s)=\frac{1}{(s+1)^5}\)
2
\(\rm G(s)=\frac{1}{s^5+1}\)
3
\(\rm G(s)=\frac{s-1}{(s+1)^6}\)
4
\(\rm G(s)=\frac{s+1}{s^6+1}\)