GATE EE 2022 Set 1 — Question 37
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Control Systems → Time-Domain Analysis → Transient & Steady-State Response
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Question
An LTI system is shown in the figure where The steady state output of the system, to the input , is given as . The values of ‘’ and ‘’ will be
Correct answer
(A) a = 1, b = 10
Solution
Given the input , the steady-state output is .
Note: There is a likely typo in the transfer function printed in the PDF (). Based on the options and official key, the intended transfer function is .
Using the intended :
Therefore, and .
Note: There is a likely typo in the transfer function printed in the PDF (). Based on the options and official key, the intended transfer function is .
Using the intended :
1.For the DC component (): .
2.For the sinusoidal component (): .
Magnitude . Thus, .Therefore, and .
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