GATE EE 2022 Set 1 — Question 17
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Control Systems → Frequency Response & Root Locus → Bode Plots
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Question
The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system, is . This system has
Correct answer
(A) one LHP pole and one RHP zero at the same frequency.
Solution
1.Magnitude Plot: A constant magnitude plot indicates that the system is an all-pass filter. For a first-order system, this requires the number of poles to equal the number of zeros, and they must be located at the same frequency .
2.Phase Plot:
- A LHP pole at contributes a phase of , which goes to as .
- A RHP zero at contributes a phase of , which also goes to as .
- Total high-frequency phase = .
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