For a unity feedback system with forward transfer function G(s) = K(s+1)/s(s-1)(s+4)
For a unity feedback system with forward transfer function G(s) = \frac{K(s+1)}{s(s-1)(s+4)} , roughly sketch the root locus by following the steps below:
(a) Sketch the root locus on the real axis.
(b) Obtain the asymptotes and their centroid.
(c) Find the root locus break points.
(d) Find the points where root locus crosses the imaginary axis; determine also the range for K for stability.
(e) Draw final root locus sketch putting together the information from steps (a) through (d).