Question 5

Determine the controller gain (Kc) for a proportional-only feedback controller

for the system comprising the following elements that ensures a gain margin

of at least 2 and a phase margin of at least 30°. Plot the controlled and

uncontrolled closed-loop response of the system to a unit-step change in set-

point.

Gc= Kc; Gp

=

50

30s +1'

G₂

=

0.016

3s +1'

Gm =

1

10s + 1