GATE ECE 2003 | GATE ECE Year Wise Previous Years Questions

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GATE ECE 2003

MCQ (Single Correct Answer)

-0.3

The gain margin for the system with open-loop transfer function G(s)H(s)=$${{2(1 + s)} \over {{s^2}}}$$ is

$$\infty $$

$$ - \infty $$

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 40 English

GATE ECE 2003 Control Systems - Frequency Response Analysis Question 40 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)

-0.3

Figure shows the Nyquist plot of the open-loop transfer function G(s)H(s) of a system. If G(s)H(s) has one right hand pole, the closed loop system is GATE ECE 2003 Control Systems - Frequency Response Analysis Question 66 English

GATE ECE 2003 Control Systems - Frequency Response Analysis Question 66 English

always stable

unstable with one closed-loop right hand pole

unstable with two closed-loop right hand poles

unstable with three closed-loop right hand poles

GATE ECE 2003

MCQ (Single Correct Answer)

-0.6

The open-loop transfer function of a unity feedback system is $$$G\left(s\right)=\frac k{s\left(s^2+s+2\right)\left(s+3\right)}$$$ the range of 'k' for which the system is stable

$$\frac{21}4>k>0$$

13 > k > 0

$$\frac{21}4<\;k\;<\;\infty$$

$$-6\;<\;k\;<\;\infty$$

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