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Control Systems
Control System Design
Compensators

Questions mapped to Compensators under Control System Design.

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Q#1 Control System Design GATE EE 2023 (Set 1) MCQ +2 marks -0.66 marks

Consider a lead compensator of the form

The frequency at which this compensator produces maximum phase lead is . At this frequency, the gain amplification provided by the controller, assuming asymptotic Bode-magnitude plot of , is . The values of , respectively, are

1,16

2,4

3,5

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Q#2 Control System Design GATE EE 2019 (Set 1) MCQ +2 marks -0.66 marks

The transfer function of a phase lead compensator is given by

The frequency (in rad/sec), at which  is maximum, is

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Q#3 Control System Design GATE EE 2017 (Set 2) MCQ +1 mark -0.33 marks

The transfer function C(s) of a compensator is given below.

The frequency range in which the phase (lead) introduced by the compensator reaches the maximum is

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Q#4 Control System Design GATE EE 2016 (Set 2) NAT +1 mark -0 marks

For the network shown in the figure below, the frequency (in rad/s) at which the maximum phase lag occurs is, ___________.                 

8.jpg

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Q#5 Control System Design GATE EE 2012 (Set 1) MCQ +2 marks -0.66 marks

The transfer function of a compensator is given as

 is a lead compensator if

a = 1, b = 2

a = 3, b = 2

a = -3, b = -1

a = 3,  b = 1

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Q#6 Control System Design GATE EE 2012 (Set 1) MCQ +2 marks -0.66 marks

The transfer function of a compensator is given as

The phase of the above lead compensator is maximum at

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Q#7 Control System Design GATE EE 2008 (Set 1) MCQ +2 marks -0.66 marks

The transfer functions of two compensators are given below:                 

, 

Which one of the following statements is correct?

 is a lead compensator and   is a lag compensator

is a lag compensator and , is a lead compensator

Both and  are lead compensators

Both and  are lag compensators

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Q#8 Control System Design GATE EE 2008 (Set 1) MCQ +2 marks -0.66 marks

The asymptotic Bode magnitude plot of a minimum phase transfer function is shown in the figure:

Q66.jpg

This transfer function has

Three poles and one zero

Two poles and one zero

Two poles and two zeros

One pole and two zeros

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Q#9 Control System Design GATE EE 2007 (Set 1) MCQ +2 marks -0.66 marks

The system is to be compensated such that its gain-crossover frequency becomes same as its uncompensated phase-crossover frequency and provides a 45° phase margin. To achieve this, one may use         

A lag compensator that provides an attenuation of 20 dB and a phase lag of 45° at the frequency of  rad/s

A lead compensator that provides an amplification of 20 dB and a phase lead of 45° at the frequency of 3 rad/s

A lag-lead compensator that provides an amplification of 20 dB and a phase lag of 45° at the frequency of  rad/s

A lag-lead compensator that provides an attenuation of 20 dB and a phase lag of 45° at the frequency of 3 rad/s

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Q#10 Control System Design GATE EE 2003 (Set 1) MCQ +1 mark -0.33 marks

A lead compensator used for a closed loop controller has the following transfer function. For such a lead compensator

a < b

b < a

a > Kb

a < Kb

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Q#11 Control System Design GATE EE 2000 (Set 1) MCQ +2 marks -0.66 marks

Maximum phase-lead of the compensator , is

52 deg at 4 rad/sec

52 deg at 10 rad/sec

55 deg at 12 rad/sec

None of the answers is correct

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Q#12 Control System Design GATE EE 1998 (Set 1) MCQ +1 mark -0.33 marks

The phase lead compensation is used to

Increase rise time and decrease overshoot

Decrease both rise time and overshoot

Increase both rise time and overshoot

Decrease rise time and increase overshoot

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Q#13 Control System Design GATE EE 1994 (Set 1) MCQ +1 mark -0.33 marks

The pole-zero configuration of a phase-lead compensator is given by

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