GATE EE 2017 Set 1 — Question 50
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Control Systems → Laplace & Z Transforms → First & Second-Order Response
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Question
For a system having transfer function , a unit step input is applied at time . The value of the response of the system at (rounded off to three decimal places) is _______.
Correct answer
0.55 to 0.556
Solution
Given the transfer function and a unit step input , we have .Step 1: Find the output :
Step 2: Perform partial fraction expansion:
So, Step 3: Find the time-domain response by taking the inverse Laplace transform:
Step 4: Calculate the value at :
Rounding to three decimal places, the value is .
Step 2: Perform partial fraction expansion:
So, Step 3: Find the time-domain response by taking the inverse Laplace transform:
Step 4: Calculate the value at :
Rounding to three decimal places, the value is .
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