GATE ECE 2006 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2006

MCQ (Single Correct Answer)

-0.3

In the system shown below, x(t)=(sin t). In steady-state, the response y(t) will be GATE ECE 2006 Control Systems - Frequency Response Analysis Question 58 English

GATE ECE 2006 Control Systems - Frequency Response Analysis Question 58 English

$${1 \over {\sqrt 2 }}\sin \left( {t - {\pi \over 4}} \right)$$

$${1 \over {\sqrt 2 }}\sin \left( {t + {\pi \over 4}} \right)$$

$${1 \over {\sqrt 2 }}{e^{ - t}}\sin t$$

$$\sin t - \cos t$$

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

Consider two transfer functions $${G_1}\left( s \right) = {1 \over {{s^2} + as + b}}$$ and $${G_2}\left( s \right) = {s \over {{s^2} + as + b}}.$$ The 3-dB bandwidths of their frequency responses are, respectively

$$\sqrt {{a^2} - 4b,} $$ $$\sqrt {{a^2} + 4b,} $$

$$\sqrt {{a^2} - 4b,} $$ $$\sqrt {{a^2} - 4b,} $$

$$\sqrt {{a^2} + 4b,} $$ $$\sqrt {{a^2} - 4b,} $$

$$\sqrt {{a^2} + 4b,} $$ $$\sqrt {{a^2} + 4b,} $$

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

The Nyquist plot of G(jω)H(jω) for a closed loop control system, passes through (-1,j0) point in the GH plane. The gain margin of the system in dB is equal to

infinite

greater than zero

less than zero

zero

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

Consider a unity-gain feedback control system whose open-loop transfer function is G(s)=$${{as + 1} \over {{s^2}}}$$.

With the value of "a" set for phase-margin of $$\pi $$/4, the value of unit-impulse response of the open-loop system at t = 1 second is equal to

3.40

2.40

1.84

1.74

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