Consider the feedback (closed-loop) control system shown in Figure P9.20. You are given the following loop transfer function for the system:
where K is a control system parameter that can be varied.
Determine the root locus of the closed-loop system as the parameter K changes from 0 to ∞. Specifically, you must first determine the
(i) Segments of the root locus on the real axis
(ii) Angles of the asymptotes and the location where the asymptotes intersect the real axis
(iii) Break points (as numerical expressions, which need not be evaluated)
(iv) Points at which the root locus intersects with the imaginary axis, if it does
(v) The range of values of K for which the closed-loop system is stable
Figure P9.20
