Practice Question : Root Locus

Explain the term centroid and  asymptotes?

What is break away point?

Calculate the angle of asymptotes  and centroid for the system   having                                 G(s)= K(s+2)/[s(s+1)(s+4)

Find the  centroid and breakaway point for the system having   G(s) = K/[s(s+2)(s^2+6s+25)]

For G(s)H(s) = K/[s(s+1)(s+3)], determine the coordinates of valid break-away/break in points(s)

Sketch the root locus for  (i) G(s)H(s)= K/s(s+3)(s+5) and (ii) G(s)H(s) = K/[s(s+6)(s^2+4s+13)]

Explain the effect of addition of poles and zeros to a  second order control system. (root Locus)

For G(s) H(s)= K/s(s+4) Draw loot locus and determine the  value of K if the damping ratio is 0.707 .

How will you obtain the angle of departure and angle of arrival of root locii?

State the rule for obtaining the breakaway point  in the root locii.