GATE EC 2023 Set 1 — Question 41
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Control Systems → Time-Domain Analysis → Steady-State Error & Constants
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Question
A closed loop system is shown in the figure where and . The steady state error due to a ramp input () is given by

Correct answer
(A) (2α)/(k)
Solution
The open-loop transfer function is and the feedback is unity, . This is a Type 1 system.
For a ramp input , the steady-state error is given by:where is the velocity error constant:Substituting into the error formula:Therefore, the correct option is (A).
For a ramp input , the steady-state error is given by:where is the velocity error constant:Substituting into the error formula:Therefore, the correct option is (A).
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