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GATE 2024 Control systems Rank Booster Quiz 13
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Question 1
Nyquist plot for a system having no. of open loop positive poles as 1 is shown below
For closed loop stability the critical point should be located at
For closed loop stability the critical point should be located at
Question 2
The pole zero plot and the Nyquist plot of open loop transfer question G(s)H(s) of a feedback system is shown below
For these systems
For these systems
Question 3
The open-loop transfer function of a unity feedback system is given as
The Nyquist path is taken and the corresponding Nyquist plot are given below in the figure,
If the magnitude of ‘K’ is more than unity. Then find the number of poles of closed loop transfer function of the system that are in the right half of the s-plane.
The Nyquist path is taken and the corresponding Nyquist plot are given below in the figure,
If the magnitude of ‘K’ is more than unity. Then find the number of poles of closed loop transfer function of the system that are in the right half of the s-plane.
Question 4
The Nyquist plot of the transfer function G(s) =
does not encircle the point (1+j0) for K=10 but does encircle the point (-1+j0) for K=100. The the closed loop system (having unity gain feedback) is
does not encircle the point (1+j0) for K=10 but does encircle the point (-1+j0) for K=100. The the closed loop system (having unity gain feedback) is Question 5
A unity feedback control system is characterized by the open-loop transfer function
G(s)=
The Nyquist path and the corresponding Nyquist plot of G(s) are shown in the figures below.
If 0 < K < 1, then the number of poles of the closed-loop transfer function that lie in the right – half of the s-plane is
G(s)=
The Nyquist path and the corresponding Nyquist plot of G(s) are shown in the figures below.
If 0 < K < 1, then the number of poles of the closed-loop transfer function that lie in the right – half of the s-plane is
Question 6
Which of the following statements about Nyquist plot is/are true?
1) Nyquist plot cannot handle the dead time or time delay element.
2) If Nyquist plot doesn’t intersect unit circle, then phase margin will be zero.
3) In Nyquist plot of closed loop transfer function, encirclements of (–1, 0) points are not counted.
Question 7
Nyquist plot of two functions G1(s) and G2(s) are shown below
Nyquist plot for product of G1(s) and G2(s) is
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