1
GATE ECE 2016 Set 2
Numerical
+2
-0
In the feedback system shown below $$$G\left(S\right)\;=\frac1{(s^2\;+\;2s)}$$$ The step response of the closed-loop system should have minimum settling time and have no overshoot. GATE ECE 2016 Set 2 Control Systems - Time Response Analysis Question 29 English The required value of gain k to achieve this is __________.
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2
GATE ECE 2016 Set 1
Numerical
+2
-0
The open-loop transfer function of a unity-feedback control system is $$$G\left(S\right)\;=\frac K{s(s\;+\;2)}$$$ For the peak overshoot of the closed-loop system to a unit step input to be 10%, the value of K is __________.
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3
GATE ECE 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The output of a standard second–order system for a unit step input is given as $$$y\left(t\right)=1-\frac2{\sqrt3}e^{-t}\cos\left(\sqrt3t\;-\;\frac{\mathrm\pi}6\right)$$$ The transfer function of the system is
A
$$\frac2{\left(s+2\right)\left(s+\sqrt3\right)}$$
B
$$\frac1{s^2+2s+1}$$
C
$$\frac3{s^2+2s+3}$$
D
$$\frac4{s^2+2s+4}$$
4
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The damping ratio of a series RLC circuit can be expressed as
A
$$\frac{R^2C}{2L}$$
B
$$\frac{2L}{R^2C}$$
C
$$\frac R2\sqrt{\frac CL}$$
D
$$\frac2R\sqrt{\frac LC}$$
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