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Control Systems
Frequency Domain Analysis
Gain Margin and Phase Margin

Questions mapped to Gain Margin and Phase Margin under Frequency Domain Analysis.

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Q#1 Frequency Domain Analysis GATE EE 2024 (Set 1) NAT +2 marks -0 marks

Consider the stable closed-loop system shown in the figure. The magnitude and phase values of the frequency response of  are given in the table. The value of the gain  for a  phase margin is ________ (rounded off to 2 decimal places).

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Q#2 Frequency Domain Analysis GATE EE 2017 (Set 1) NAT +1 mark -0 marks

Consider the unity feedback control system shown. The value of K that results in a phase margin of the system to be 30° is _________. (Give the answer up to two decimal places).

Z:\PY\EE\Redreaw figure\control system\update\322-48.jpg

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Q#3 Frequency Domain Analysis GATE EE 2011 (Set 1) MCQ +1 mark -0.33 marks

The frequency response of a linear system  is provided in the tabular form below

1.3

1.2

1.0

0.8

0.5

0.3

-130°

-140°

-150°

-160°

-180°

-200°

The gain margin and phase margin of the system are

6dB and

6dB and

–6dB and

-6dB and

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Q#4 Frequency Domain Analysis GATE EE 2009 (Set 1) MCQ +2 marks -0.66 marks

The open loop transfer function of a unity feedback system is given by .  The gain margin of this system is

11.95 dB

17.67 dB

21.33 dB

23.9 dB

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Q#5 Frequency Domain Analysis GATE EE 2005 (Set 1) MCQ +1 mark -0.33 marks

The gain margin of a unity feedback control system with the open loop transfer function  is:  

0

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Q#6 Frequency Domain Analysis GATE EE 2005 (Set 1) MCQ +2 marks -0.66 marks

If the compensated system shown in Figure has a phase margin of 60° at the crossover frequency of 1rad/sec, the value of the gain K is:

0.366

0.732

1.366

2,738

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Q#7 Frequency Domain Analysis GATE EE 2004 (Set 1) MCQ +2 marks -0.66 marks

The open loop transfer function of a unity feedback control system is given as

The value of ‘a’ to give a phase margin of 45° is equal to

0.141

0.441

0.841

1.141

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Q#8 Frequency Domain Analysis GATE EE 2000 (Set 1) MSQ +2 marks -0 marks

Open-loop transfer function of a unity-feedback system is:

 

Given : when

(a) Determine the phase margin when  

(b) Comment in one sentence on the effect of dead time on the stability of the system

(c) Determine the maximum value of dead time  for the closed-loop system to be stable

(a) Phase margin

(b) Phase margin reduces and stability decreases

(b) Phase margin reduces and stability increases

(c)

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Q#9 Frequency Domain Analysis GATE EE 1997 (Set 1) NAT +2 marks -0 marks

A unity feedback system with the open loop transfer function  has gain margin of…. dB

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