GATE EC 2016 Set 3 — Question 30
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Control Systems → Time-Domain Analysis → Steady-State Error & Constants
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Question
For the unity feedback control system shown in the figure, the open-loop transfer function is given asThe steady state error due to a unit step input is

Correct answer
(A) 0
Solution
The open-loop transfer function is .
This is a Type 1 system because there is one pole at the origin ().
For a unit step input, the position error constant is:The steady state error for a unit step input is:Thus, the steady state error is 0.
This is a Type 1 system because there is one pole at the origin ().
For a unit step input, the position error constant is:The steady state error for a unit step input is:Thus, the steady state error is 0.
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