GATE EC 2019 Set 1 — Question 16
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Control Systems → Frequency-Domain Analysis → Bode Plots
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Question
For an LTI system, the Bode plot for its gain is as illustrated in the figure shown. The number of system poles and the number of system zeros in the frequency range is
Correct answer
(B) Nₚ = 6, N_z = 3
Solution
The number of poles and zeros can be determined by the change in slope at each corner frequency:
Total number of zeros .
1.At : Slope changes from to . Change is pole.
2.At : Slope changes from to . Change is poles.
3.At : Slope changes from to . Change is zero.
4.At : Slope changes from to . Change is zeros.
5.At : Slope changes from to . Change is poles.
6.At : Slope changes from to . Change is pole.
Total number of poles .Total number of zeros .
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