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Q#1
Control System Design
GATE EE 2023
MCQ
+1 mark
-0.33 marks
Consider a unity-gain negative feedback system consisting of the plant
(s) (given below) and a proportional-integral controller. Let the proportional gain and integral gain be 3 and 1, respectively. For a unit step reference input, the final values of the controller output and the plant output, respectively, are

∞, ∞
1,0
1, –1
–1,1
Explanation:
Transfer function of PI controller
Given,
&

Block Diagram of Control System is given by

Forward path transfer function 

Overall transfer function 


Final value of plant output,

Controller Output X(s) = 
X(s) = 
Final value of controller 

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