Course Name: Control Systems
Please solve with all steps in detail. Fast urgent!!!
2) Suppose this unity feedback system for the mirror segments of a telescope has the loop transfer function: (8 marks)
L(s) = K * G(s) * G(s) / (s^2 + 2s + 5)
a) Find the asymptotes and sketch them in the s-plane.
b) Find the angle of departure from the complex poles.
c) Determine the gain when two roots lie on the imaginary axis.
d) Sketch the root locus.