GATE ECE 2003 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2003

MCQ (Single Correct Answer)

-0.6

Let x(t) be the input to a linear, time-invariant system. The required output is 4x(t-2). The transfer function of the system should be

4 e^{$$j4\pi f$$}

2 e^{$$-j8\pi f$$}

4 e^{$$-j4\pi f$$}

2 e^{$$j8\pi f$$}

GATE ECE 2003

MCQ (Single Correct Answer)

-0.6

The approximate Bode magnitude plot of a minimum-phase system is shown in figure. The transfer function of the system is GATE ECE 2003 Control Systems - Frequency Response Analysis Question 38 English

GATE ECE 2003 Control Systems - Frequency Response Analysis Question 38 English

$${10^8}{{{{\left( {s + 0.1} \right)}^3}} \over {{{\left( {s + 10} \right)}^2}\left( {s + 100} \right)}}$$

$${10^7}{{{{\left( {s + 0.1} \right)}^3}} \over {{{\left( {s + 10} \right)}}\left( {s + 100} \right)}}$$

$${10^8}{{{{\left( {s + 0.1} \right)}^2}} \over {{{\left( {s + 10} \right)}^2}\left( {s + 100} \right)}}$$

$${10^9}{{{{\left( {s + 0.1} \right)}^3}} \over {\left( {s + 10} \right){{\left( {s + 100} \right)}^2}}}$$

GATE ECE 2003

MCQ (Single Correct Answer)

-0.6

The zero, input response of a system given by the state space equation $$$\left[ {{{\mathop {{x_1}}\limits^ \bullet } \over {\mathop {{x_2}}\limits^ \bullet }}} \right] = \left[ {\matrix{ 1 & 0 \cr 1 & 1 \cr } } \right]\left[ {\matrix{ {{x_1}} \cr {{x_2}} \cr } } \right]and\left[ {\matrix{ {{x_1}} & {\left( 0 \right)} \cr {{x_2}} & {\left( 0 \right)} \cr } } \right] = \left[ {\matrix{ 1 \cr 0 \cr } } \right]is$$$

$$\left[ {\matrix{ {t{e^t}} \cr t \cr } } \right]$$

$$\left[ {\matrix{ {{e^t}} \cr t \cr } } \right]$$

$$\left[ {\matrix{ {{e^t}} \cr {t{e^t}} \cr } } \right]$$

$$\left[ {\matrix{ t \cr {t{e^t}} \cr } } \right]$$

GATE ECE 2003

MCQ (Single Correct Answer)

-0.3

A PD controller is used to compensate a system. Compared to the uncompensated system, the compensated system has

a higher type number.

reduced damping.

higher noise amplification.

larger transient overshoot.

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