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Question 8.SE.5: PROBLEM: Given a unity feedback system that has the forward ...

PROBLEM: Given a unity feedback system that has the forward transfer function

G(s)=\frac{K(s-2)(s-4)}{(s^{2}+6s+25 )}

do the following:

a. Sketch the root locus.

b. Find the imaginary-axis crossing.

c. Find the gain, K, at the jω-axis crossing.

d. Find the break-in point.

e. Find the point where the locus crosses the 0.5 damping ratio line.

f. Find the gain at the point where the locus crosses the 0.5 damping ratio line.

g. Find the range of gain, K, for which the system is stable.

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