A process with transfer function G(s) = 1 (s+2)(s+4) is cascaded with a controller D(s) = K(1 + 8s), K > 0, in a unity feedback loop. (a)Draw a neat sketch of the root locus showing all its important features. (b)It is required to locate the furthest pole of the closed loop at -5 , find the value of K and calculate the value of the frequency of oscillations in the time response. (c) Find the value of K that results in multiple poles of the closed loop.
