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1

### GATE EE 2000

A unity feedback system has open loop transfer function $$G(s).$$ The steady-state error is zero for
A
step input and type $$–1$$ $$G(s)$$
B
ramp input and type $$–1$$ $$G(s)$$
C
step input and type $$-$$ $$G(s)$$
D
ramp input and type $$-$$ $$0$$ $$G(s)$$
2

### GATE EE 1998

The output of a linear time invariant control system is $$c(t)$$ for a certain input $$r(t).$$ If $$r(t)$$ is modified by passing it through a block whose transfer function is $${e^{ - s}}$$ and then applied to the system, the modified output of the system would be
A
$${{c\left( t \right)} \over {1 + {e^t}}}$$
B
$${{c\left( t \right)} \over {1 + {e^{ - t}}}}$$
C
$$c\left( {t - 1} \right)u\left( {t - 1} \right)$$
D
$$c\left( t \right)\,\,u\left( {t - 1} \right)$$
3

### GATE EE 1997

Introduction of integral action in the forward path of a unity feedback system result in a
A
marginally stable system
B
system with no steady state error
C
system with increased stability margin
D
system with better speed of response
4

### 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
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