GATE EE 2015 Set 2 — Question 34
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Control Systems → Laplace & Z Transforms → Transfer Function & Pole-Zero
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Question
An open loop control system results in a response of for a unit impulse input. The DC gain of the control system is ______.
Correct answer
0.23 to 0.25
Solution
The impulse response is given by . The transfer function is the Laplace transform of the impulse response:Using the property :The DC gain is the value of the transfer function at :The value lies within the range .
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