GATE EE 2015 Set 1 | GATE EE Year Wise Previous Years Questions

GATE EE 2015 Set 1

MCQ (Single Correct Answer)

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A Bode magnitude plot for the transfer function $$𝐺(𝑠)$$ of a plant is shown in the figure. Which one of the following transfer functions best describes the plant? GATE EE 2015 Set 1 Control Systems - Polar Nyquist and Bode Plot Question 35 English

GATE EE 2015 Set 1 Control Systems - Polar Nyquist and Bode Plot Question 35 English

$${{1000\left( {s + 10} \right)} \over {s + 1000}}$$

$${{10\left( {s + 10} \right)} \over {s\left( {s + 1000} \right)}}$$

$${{s + 1000} \over {10s\left( {s + 10} \right)}}$$

$${{s + 1000} \over {10\left( {s + 10} \right)}}$$

GATE EE 2015 Set 1

MCQ (Single Correct Answer)

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The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at $$\left( {2 - j3} \right).$$ List all the poles and zeros.

Poles at $$\left( {2 \pm j3} \right),$$ no zeros

Poles at $$\left( { \pm 2 - j3} \right),$$ one zero at origin

Poles at $$\left( {2 - j3} \right),\,\,\left( { - 2 + j3} \right),$$ zeros at $$\left( { - 2 - j3} \right),\,\,\left( {2 + j3} \right)$$

Poles at $$\left( {2 \pm j3} \right),$$ zeros at $$\left( { - 2 \pm j3} \right)$$

GATE EE 2015 Set 1

MCQ (Single Correct Answer)

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In the signal flow diagram given in the figure, $${u_1}$$ and $${u_2}$$ are possible inputs whereas $${y_1}$$ and $${y_2}$$ are possible outputs. When would the $$SISO$$ system derived from this diagram be controllable and observable? GATE EE 2015 Set 1 Control Systems - State Variable Analysis Question 9 English

GATE EE 2015 Set 1 Control Systems - State Variable Analysis Question 9 English

When $${u_1}$$ is the only input and $${y_1}$$ is the only output

When $${u_2}$$ is the only input and $${y_1}$$ is the only output

When $${u_1}$$ is the only input and $${y_2}$$ is the only output

When $${u_2}$$ is the only input and $${y_2}$$ is the only output

GATE EE 2015 Set 1

MCQ (Single Correct Answer)

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$$f\left( {A,\,B,\,C,\,D} \right) = \Pi M\left( {0,1,3,4,5,7,9,11,12,13,14,15} \right)$$ is a Maxterm representation of a Boolean function $$f(A,B,C,D)$$ where $$A$$ is the $$MSB$$ and $$D$$ is the $$LSB$$. The equivalent minimized representation of this function is

$$\left( {A + \overline C + D} \right)\left( {\overline A + B + D} \right)$$

$$A\overline C D + \overline A BD$$

$$\overline A C\overline D + A\overline B C\overline D + A\overline B \overline C \overline D $$

$$\left( {B + \overline C + D} \right)\left( {A + \overline B + \overline C + D} \right)\left( {\overline A + B + C + D} \right)$$

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