GATE ECE 2008 | Frequency Response Analysis Question 34 | Control Systems

GATE ECE 2008

MCQ (Single Correct Answer)

-0.6

The impulse response h(t) of a linear time invariant system is given by h(t) = $${e^{ - 2t}}u(t),$$ where u(t) denotes the unit step function.

The frequency response H(ω) of the system in terms of angular frequency 'ω' is given by h( ω)

$${1 \over {1 + j2\omega }}$$

$${{\sin \omega } \over \omega }$$

$${1 \over {2 + j\omega }}$$

$${{j\omega } \over {2 + j\omega }}$$

GATE ECE 2007

MCQ (Single Correct Answer)

-0.6

The asymptotic Bode plot of a transfer function is shown in the figure. the transfer function G(s) corresponding to this bode plot is GATE ECE 2007 Control Systems - Frequency Response Analysis Question 26 English

GATE ECE 2007 Control Systems - Frequency Response Analysis Question 26 English

$${1 \over {\left( {s + 1} \right)\left( {s + 20} \right)}}$$

$${1 \over {s\left( {s + 1} \right)\left( {s + 20} \right)}}$$

$${{100} \over {s\left( {s + 1} \right)\left( {s + 20} \right)}}$$

$${{100} \over {s\left( {s + 1} \right)\left( {1 + 0.05s} \right)}}$$

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

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