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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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