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Q#1
Control System Design
GATE EC 2002
MSQ
+2 marks
-0 marks
A unity feedback system has the plant transfer function 
(a) Determine the frequency at which the plant has a phase lag of 90º
(b) An integral controller with transfer function 
is placed in the feed-forward path of the feedback system. Find the value of k such that the compensated system has an open-loop gain margin of 2.5.
(c) Determine the steady state errors of the compensated system to unit-step and unit-ramp inputs.
(a) 
(b) k=0.6
(b) k=0.8
(c) Steady state error = 1.667
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