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1

### GATE EE 1996

For a feedback control system of type $$2,$$ the steady state error for a ramp input is
A
infinite
B
constant
C
zero
D
indeterminate
2

### GATE EE 1996

Consider the unit step response of a unity feedback control system whose open loop transfer function is $$G\left( s \right) = {1 \over {s\left( {s + 1} \right)}}.$$ The maximum overshoot is equal to
A
$$0.143$$
B
$$0.153$$
C
$$0.163$$
D
$$0.173$$
3

### GATE EE 1996

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
$${{s + 1} \over {{s^2}}}$$
4

### GATE EE 1995

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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