Prove that the magnitude slope of -1 in the Bode plot corresponds to - 20dB per decade.

(a) Sketch the polar plot for an open-loop system with transfer function 1/ s 2 , that is, sketch where C1 is a contour enclosing the entire RHP. (Hint: assume C1 takes a small detour around the poles at s = 0).

(b) Repeat part

(a) for an open-loop system whose tmnsfer function ·is 1 G(s) = 2 2.
s +wo Problem