1
GATE EE 2011
MCQ (Single Correct Answer)
+1
-0.3
The frequency response of a linear system $$G\left( {j\omega } \right)$$ is provided in the tubular form below. GATE EE 2011 Control Systems - Polar Nyquist and Bode Plot Question 44 English

The gain margin and phase margin of the system are

A
$$6$$ $$db$$ and $${30^ \circ }$$
B
$$6$$ $$db$$ and $$-{30^ \circ }$$
C
$$-6$$ $$db$$ and $${30^ \circ }$$
D
$$-6$$ $$db$$ and $$-{30^ \circ }$$
2
GATE EE 2011
MCQ (Single Correct Answer)
+1
-0.3
The steady state error of a unity feedback linear system for a unit step input is $$0.1.$$ The steady state error of the same system, for a pulse input $$r(t)$$ having a magnitude of $$10$$ and a duration of one second, as shown in the figure is GATE EE 2011 Control Systems - Time Response Analysis Question 28 English
A
$$0$$
B
$$0.1$$
C
$$1$$
D
$$10$$
3
GATE EE 2011
MCQ (Single Correct Answer)
+2
-0.6
A two-loop position control system is shown below. GATE EE 2011 Control Systems - Time Response Analysis Question 14 English
The gain $$k$$ of the Tacho-generator influences mainly the
A
Peak overshoot
B
Natural frequency of oscillation
C
Phase shift of the closed loop transfer function at very low frequencies $$\left( {\omega \to \infty } \right)$$
D
Phase shift of the closed loop transfer function at very low frequencies $$\left( {\omega \to \infty } \right)$$
4
GATE EE 2011
MCQ (Single Correct Answer)
+2
-0.6
The response $$h(t)$$ of a linear time invariant system to an impulse $$\delta \left( t \right),$$ under initially relaxed condition is $$h\left( t \right) = \,{e^{ - t}} + {e^{ - 2t}}.$$ The response of this system for a unit step input $$u(t)$$ is
A
$$u\left( t \right) + {e^{ - t}} + {e^{ - 2t}}$$
B
$$\left( {{e^{ - t}} + {e^{ - 2t}}} \right)u\left( t \right)$$
C
$$\left( {1.5 - {e^{ - t}} - 0.5{e^{ - 2t}}} \right)u\left( t \right)$$
D
$${e^{ - t}}\delta \left( t \right) + {e^{ - 2t}}u\left( t \right)$$
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