GATE EE 2026 Set 1 — Question 29
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Control Systems → Frequency Response & Root Locus → Bode Plots
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Question
The asymptotic Bode magnitude plot of a system is shown.
Which one of the following options best represents the transfer function of the system?
Correct answer
(A) G(s) = 1 + (s)/(ω₀)(s)/(ω₀)
Solution
1.The initial slope of the Bode magnitude plot is dB/decade, which indicates the presence of a pole at the origin ().
2.At the corner frequency , the slope changes from dB/decade to dB/decade. This change in slope is dB/decade, which indicates a simple zero at , represented by the factor .
3.The general form of the transfer function is .
4.As , the magnitude levels off at dB (which corresponds to a gain of ). In the limit , . Setting this to gives .
5.Substituting back into the transfer function: . This matches option (A).
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