GATE ECE 2009 | Frequency Response Analysis Question 29 | Control Systems

GATE ECE 2009

MCQ (Single Correct Answer)

-0.6

The Nyquist plot of a stable transfer function G(s) is shown in the figure. We are interested in the stability of the closed loop system in the feedback configuration shown. GATE ECE 2009 Control Systems - Frequency Response Analysis Question 31 English 1

GATE ECE 2009 Control Systems - Frequency Response Analysis Question 31 English 1

GATE ECE 2009 Control Systems - Frequency Response Analysis Question 31 English 2

Which of the foloowing statements is true?

G(s) is is an all-pass filter.

G(s) has a zero in the right-half of S-plane.

G(s) is the impedance of a passive network.

G(s) is marginally stable.

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 output of this system to the sinusoidal input x(t) = 2cos(t) for all time 't' is

$$0$$

$${2^{ - 0.25}}\cos \left( {2t - 0.125\pi } \right)$$

$${2^{ - 0.5}}\cos \left( {2t - 0.125\pi } \right)$$

$${2^{ - 0.5}}\cos \left( {2t - 0.25\pi } \right)$$

GATE ECE 2008

MCQ (Single Correct Answer)

-0.6

The magnitude of frequency response of an underdamped second order system is 5 at 0 rad/sec and peaks to $${{10} \over {\sqrt 3 }}$$ at 5 $$\sqrt 2 $$ rad/sec. The transfer function of the system is

$${{500} \over {{s^2} + 10s + 100}}$$

$${{375} \over {s2 + 5s + 75}}$$

$${{720} \over {s2 + 12s + 144}}$$

$${{1125} \over {s2 + 25s + 225}}$$

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)

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

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

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