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# GATE EC 2021: Control Systems Quiz 7

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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 Question 2

the pole zero map and the Nyquist plot of the loop transfer function G(s)H(s) of a feedback system are shown below. For this  Question 3

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

Question 4

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.

Question 5

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

Question 6

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
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