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Control Systems
Frequency Domain Analysis
Nyquist Plot and Stability Criterion

Questions mapped to Nyquist Plot and Stability Criterion under Frequency Domain Analysis.

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Q#1 Frequency Domain Analysis GATE EE 2025 (Set 1) MCQ +1 mark -0.33 marks

The Nyquist plot of a strictly stable  having the numerator polynomial as  encircles the critical point -1 once in the anti-clockwise direction. Which one of the following statements on the closed-loop system shown in figure, is correct?

The system stability cannot be ascertained.

The system is marginally stable.

The system is stable.

The system is unstable.

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Q#2 Frequency Domain Analysis GATE EE 2023 (Set 1) MCQ +1 mark -0.33 marks

In the Nyquist plot of the open-loop transfer function

Corresponding to the feedback loop shown in the figure, the infinite semi-circular arc of the Nyquist contour in s-plane is mapped into a point at

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Q#3 Frequency Domain Analysis GATE EE 2022 (Set 1) MCQ +2 marks -0.66 marks

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

The Nyquist contour in the s-plane encloses the entire right half plane and a small neighbourhood around the origin in the left half plane, as shown in the figure below. The number of encirclemenets of the point (-1+j0) by the Nyquist plot of G(s), corresponding to the Nyquist contour, is denoted as N. Then N equals to

Diagram

Description automatically generated

0

1

2

3

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Q#4 Frequency Domain Analysis GATE EE 2020 (Set 1) NAT +1 mark -0 marks

Consider a negative unity feedback system with forward path transfer function  where K, a, b, c are positive real numbers. For a Nyquist path enclosing the entire imaginary axis and right half of the s-plane in the clockwise direction, the Nyquist plot of (l + G(s)), encircles the origin of (l + G(s))-plane once in the clockwise direction and never passes through this origin for a certain value of K. Then, the number of poles of lying in the open right half of the s-plane is _______.

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Q#5 Frequency Domain Analysis GATE EE 2019 (Set 1) MCQ +1 mark -0.33 marks

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

In G(s) plane, the Nyquist plot of G(s) passes through the negative real axis at the point

(-1.25, j0)

(-0.75, j0)

(-1.5, j0)

(-0.5, j0)

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Q#6 Frequency Domain Analysis GATE EE 2016 (Set 1) MCQ +2 marks -0.66 marks

Loop transfer function of a feedback system is . Take the Nyquist contour in the clockwise direction. Then, the Nyquist plot of G(s)H(s) encircles

once in clockwise direction

twice in clockwise direction

once in anticlockwise direction

twice in anticlockwise direction

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Q#7 Frequency Domain Analysis GATE EE 2015 (Set 2) MCQ +1 mark -0.33 marks

Nyquist plots of two functions  and  are shown in figure. 

Nyquist plot of the product of  is

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Q#8 Frequency Domain Analysis GATE EE 2014 (Set 3) MCQ +1 mark -0.33 marks

A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function(s). It is given that. Which of the following is true about the stability of the system?

The system is always stable

The system is stable if all zeroes of G(s)H(s) are in left half of the s-plane

The system is stable if all poles of G(s)H(s) are in left half of the s-plane

It is not possible to say whether or not the system is stable from the information given

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Q#9 Frequency Domain Analysis GATE EE 2007 (Set 1) MCQ +2 marks -0.66 marks

If  and  then for , the Nyquist plot for becomes asymptotic to the line

x = 0

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Q#10 Frequency Domain Analysis GATE EE 2006 (Set 1) MCQ +2 marks -0.66 marks

Consider the following Nyquist plots of loop transfer functions over ω = 0 to ω= ∞.  Which of these plots represents a stable closed loop system?

Q52-1.jpg        Q52-2.jpg

        Q52-4.jpg

(1) only

All, except (1)

All, except (3)

(1) and (2) only

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Q#11 Frequency Domain Analysis GATE EE 2005 (Set 1) MCQ +2 marks -0.66 marks

In the GH(s) plane, the Nyquist plot of the loop transfer function passes through the negative real axis at the point  

(−0.25, j0)

(−0.5, j0)

(−1, j0)

(−2, j0)

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Q#12 Frequency Domain Analysis GATE EE 2004 (Set 1) MCQ +1 mark -0.33 marks

The Nyquist plot of loop transfer function G(s) H(s) of a closed loop control system passes through the point (−1, j0) in the G(s) H(s) plane. The phase margin of the system is

45°

90°

180°

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Q#13 Frequency Domain Analysis GATE EE 1992 (Set 1) MCQ +1 mark -0.33 marks

A unity feedback system has the open loop transfer function                 

The Nyquist plot of G encircles the origin

never

once

twice

thrice

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Q#14 Frequency Domain Analysis GATE EE 1991 (Set 1) MCQ +2 marks -0.66 marks

Which of the following is the transfer function of a system having the Nyquist plot in figure?

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