1
GATE EE 1995
Fill in the Blanks
+1
-0
The steady state error due to a step input for type $$1$$ system is ______________.
2
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
3
GATE EE 1995
Fill in the Blanks
+1
-0
Closed loop stability implies that $$\left[ {1 + G\left( s \right)H\left( s \right)} \right]$$ has only ____________ in the left half of the $$s$$-plane.
4
GATE EE 1995
MCQ (Single Correct Answer)
+1
-0.3
A system is described by the state equation $$\mathop X\limits^ \bullet = AX + BU$$ , The output is given by $$Y=CX$$ Where $$A = \left( {\matrix{ { - 4} & { - 1} \cr 3 & { - 1} \cr } } \right)\,\,B = \left( {\matrix{ 1 \cr 1 \cr } } \right)\,\,C = \left[ {10} \right]$$

Transfer function $$G(s)$$ of the system is

A
$${s \over {{s^2} + 5s + 7}}$$
B
$${1 \over {{s^2} + 5s + 7}}$$
C
$${s \over {{s^2} + 3s + 2}}$$
D
$${1 \over {{s^2} + 3s + 2}}$$
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