GATE ECE 2014 Set 1 | Frequency Response Analysis Question 17 | Control Systems

GATE ECE 2014 Set 1

MCQ (Single Correct Answer)

-0.3

Consider the feedback system shown in the figure. The Nyquist plot of G(s) is also shown. Which one of the following conclusions is correct? GATE ECE 2014 Set 1 Control Systems - Frequency Response Analysis Question 53 English 1

GATE ECE 2014 Set 1 Control Systems - Frequency Response Analysis Question 53 English 1

GATE ECE 2014 Set 1 Control Systems - Frequency Response Analysis Question 53 English 2

G(s) is an all-pass filter.

G(s) is a strictly proper transfer function.

G(s) is a stable and minimum-phase transfer function.

The closed-loop system is unstable for sufficiently large and positive k.

GATE ECE 2014 Set 4

MCQ (Single Correct Answer)

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In a Bode magnitude plot, which one of the following slopes would be exhibited at high frequencies by a 4^th order all-pole system?

– 80 dB/decade

– 40 dB/decade

+40 dB/decade

+80 dB/decade

GATE ECE 2013

MCQ (Single Correct Answer)

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The Bode plot of a transfer function G (s) is shown in the figure below. GATE ECE 2013 Control Systems - Frequency Response Analysis Question 54 English

GATE ECE 2013 Control Systems - Frequency Response Analysis Question 54 English

The gain (20 log $$\left| {G(s)} \right|$$ ) is 32 dB and -8dB at 1rad/s and 10rad/s respectively. The phase is negative for all $$\omega .$$ Then G(s) is

$${\textstyle{{39.8} \over s}}$$

$${\textstyle{{39.8} \over {{s^2}}}}$$

$${\textstyle{{32} \over {{s}}}}$$

$${\textstyle{{32} \over {{s^2}}}}$$

GATE ECE 2012

MCQ (Single Correct Answer)

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A system with transfer function g(s) = $${{\left( {{s^2} + 9} \right)\left( {s + 2} \right)} \over {\left( {s + 1} \right)\left( {s + 3} \right)\left( {s + 4} \right)}},$$ is excited by $$\sin \left( {\omega t} \right).$$ The steady-state output of the system is zero at

$$\omega = 1rad/\sec $$

$$\omega = 2rad/\sec $$

$$\omega = 3rad/\sec $$

$$\omega = 4rad/\sec $$

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