1
GATE EE 1996
MCQ (Single Correct Answer)
+1
-0.3
The unit - impulse response of a unity - feedback control system is given by $$c\left( t \right) = - t{e^{ - t}} + 2\,\,{e^{ - t}},\,\left( {t \ge 0} \right)$$ the open loop transfer function is equal to
A
$${{s + 1} \over {{{\left( {s + 2} \right)}^2}}}$$
B
$${{2s + 1} \over {{s^2}}}$$
C
$${{s + 1} \over {{{\left( {s + 1} \right)}^2}}}$$
D
$${{s + 1} \over {{s^2}}}$$
2
GATE EE 1995
Fill in the Blanks
+1
-0
The steady state error due to a step input for type $$1$$ system is ______________.
3
GATE EE 1995
MCQ (Single Correct Answer)
+1
-0.3
The Laplace transformation of $$f(t)$$ is $$F(s).$$ Given $$F\left( s \right) = {\omega \over {{s^2} + {\omega ^2}}},$$ the final value of $$f(t)$$ is
A
infinity
B
zero
C
one
D
none of these
4
GATE EE 1995
MCQ (Single Correct Answer)
+1
-0.3
The closed loop transfer function of a control system is given by $${{C\left( s \right)} \over {R\left( s \right)}}\, = \,\,{{2\left( {s - 1} \right)} \over {\left( {s + 2} \right)\left( {s + 1} \right)}}$$ for a unit step input the output is
A
$$ - 3\,{e^{ - 2t}} + 4{e^{ - t}} - 1$$
B
$$ - 3\,{e^{ - 2t}} - 4{e^{ - t}} + 1$$
C
zero
D
infinity
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