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

The Nyquist plot of a system is given in the figure below. Let $\omega_{\mathrm{P}}, \omega_Q, \omega_R$, and $\omega_{\mathrm{S}}$ be the positive frequencies at the points $P, Q, R$, and $S$, respectively. Which one of the following statements is TRUE?

GATE ECE 2025 Control Systems - Frequency Response Analysis Question 1 English
A
$\omega_s$ is the gain crossover frequency and $\omega_p$ is the phase crossover frequency
B
$\omega_Q$ is the gain crossover frequency and $\omega_R$ is the phase crossover frequency
C
$\omega_Q$ is the gain crossover frequency and $\omega_S$ is the phase crossover frequency
D
$\omega_S$ is the gain crossover frequency and $\omega_Q$ is the phase crossover frequency
2
GATE ECE 2024
MCQ (Single Correct Answer)
+1
-0.33

In the context of Bode magnitude plots, 40 dB/decade is the same as ______.

A

12 dB/octave

B

6 dB/octave

C

20 dB/octave

D

10 dB/octave

3
GATE ECE 2023
MCQ (Single Correct Answer)
+1
-0.33

The open loop transfer function of a unity negative feedback system is $$G(s) = {k \over {s(1 + s{T_1})(1 + s{T_2})}}$$, where $$k,T_1$$ and $$T_2$$ are positive constants. The phase cross-over frequency, in rad/s, is

A
$${1 \over {\sqrt {{T_1}{T_2}} }}$$
B
$${1 \over {{T_1}{T_2}}}$$
C
$${1 \over {{T_1}\sqrt {{T_2}} }}$$
D
$${1 \over {{T_2}\sqrt {{T_1}} }}$$
4
GATE ECE 2022
MCQ (Single Correct Answer)
+1
-0.33

Consider a closed-loop control system with unity negative feedback and KG(s) in the forward path, where the gain K = 2. The complete Nyquist plot of the transfer function G(s) is shown in the figure. Note that the Nyquist contour has been chosen to have the clockwise sense. Assume G(s) has no poles on the closed right-half of the complex plane. The number of poles of the closed-loop transfer function in the closed right-half of the complex plane is ___________.

GATE ECE 2022 Control Systems - Frequency Response Analysis Question 5 English

A
0
B
1
C
2
D
3
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