1
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

The Nyquist plot of a strictly stable $G(s)$ having the numerator polynomial as $(s-3)$ 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?

GATE EE 2025 Control Systems - Polar Nyquist and Bode Plot Question 1 English
A
The system stability cannot be ascertained.
B
The system is marginally stable.
C
The system is stable
D
The system is unstable.
2
GATE EE 2023
MCQ (Single Correct Answer)
+1
-0.33

In the Nyquist plot of the open-loop transfer function

$$G(s)H(s) = {{3s + 5} \over {s - 1}}$$

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

GATE EE 2023 Control Systems - Polar Nyquist and Bode Plot Question 6 English

A
$$G(s)H(s) = \infty $$
B
$$G(s)H(s) = 0$$
C
$$G(s)H(s) = 3$$
D
$$G(s)H(s) = - 5$$
3
GATE EE 2022
MCQ (Single Correct Answer)
+1
-0.33

The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system, is $$-$$180$$^\circ$$. This system has

GATE EE 2022 Control Systems - Polar Nyquist and Bode Plot Question 9 English

A
one LHP pole and one RHP zero at the same frequency.
B
one LHP pole and one LHP zero at the same frequency.
C
two LHP poles and one RHP zero.
D
two RHP poles and one LHP zero.
4
GATE EE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The transfer function of a system is given by $${{{V_0}\left( s \right)} \over {{V_i}\left( s \right)}} = {{1 - s} \over {1 + s}}$$

Let the output of the system be $${v_0}\left( t \right) = {v_m}\sin \left( {\omega t + \phi } \right)$$ for the input $${v_i}\left( t \right) = {v_m}\sin \left( {\omega t} \right).$$ Then the minimum and maximum values of ϕ (in radians) are respectively

A
$${{ - \pi } \over 2}\,$$ and $${{ \pi } \over 2}\,$$
B
$${{ - \pi } \over 2}\,$$ and $$0$$
C
$$0$$ and $${{ \pi } \over 2}\,$$
D
$${ - \pi }$$ and $$0$$
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