Points at which the root locus intersects with the

Question

The loop transfer function of a feedback control system is given by

(a) Sketch the root locus of the closed-loop system by first determining the

(i) Location and the angles of the asymptotes

(ii) Break points

(iii) Points at which the root locus intersects with the imaginary axis and the corresponding gain value

(b) Fully justifying your answer, state whether the system is stable for K = 10.

(c) Suppose that a zero at -3 is introduced to the control loop so that

Sketch the root locus of the new system.