GATE ECE 2010 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2010

MCQ (Single Correct Answer)

-0.3

A system with the transfer function $${{Y(s)} \over {X(s)}} = {s \over {s + p}},$$ has an output y(t)=$$\cos \left( {2t - {\pi \over 3}} \right),$$ for input signal x(t)=$$p\cos \left( {2t - {\pi \over 2}} \right).$$ Then the system parameter 'p' is

$$\sqrt 3 $$

$${2 \over {\sqrt 3 }}$$

$${{\sqrt 3 } \over 2}$$

GATE ECE 2010

MCQ (Single Correct Answer)

-0.3

For the asymptotic Bode magnitude plot shown below, the system transfer function can be GATE ECE 2010 Control Systems - Frequency Response Analysis Question 59 English

GATE ECE 2010 Control Systems - Frequency Response Analysis Question 59 English

$${{10s + 1} \over {0.1s + 1}}$$

$${{100s + 1} \over {0.1s + 1}}$$

$${{100s} \over {10s + 1}}$$

$${{0.1s + 1} \over {10s + 1}}$$

GATE ECE 2010

MCQ (Single Correct Answer)

-0.6

The signal flow graph of a system is shown below. GATE ECE 2010 Control Systems - State Space Analysis Question 27 English

The transfer function of the system is

$${{s + 1} \over {{s^2} + 1}}$$

$${{s - 1} \over {{s^2} + 1}}$$

$${{s + 1} \over {{s^2} + s + 1}}$$

$${{s - 1} \over {{s^2} + s + 1}}$$

GATE ECE 2010

MCQ (Single Correct Answer)

-0.6

The signal flow graph of a system is shown below. GATE ECE 2010 Control Systems - State Space Analysis Question 28 English

The state variable representation of the system can be

$$\mathop x\limits^ \bullet = \left[ {\matrix{ 1 & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u$$
$$y = \left[ {\matrix{ 0 & {0.5} \cr } } \right]x$$

$$\eqalign{ & \mathop x\limits^ \bullet = \left[ {\matrix{ { - 1} & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u \cr & y = \left[ {\matrix{ 0 & {0.5} \cr } } \right]x \cr} $$

$$\eqalign{ & \mathop x\limits^ \bullet = \left[ {\matrix{ 1 & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u \cr & y = \left[ {\matrix{ {0.5} & {0.5} \cr } } \right]x \cr} $$

$$\eqalign{ & \mathop x\limits^ \bullet = \left[ {\matrix{ { - 1} & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u \cr & y = \left[ {\matrix{ {0.5} & {0.5} \cr } } \right]x \cr} $$

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