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1

### GATE EE 2005

When subjected to a unit step input, the closed loop control system shown in the figure will have a steady state error of A
$$-1.0$$
B
$$-0.5$$
C
$$0$$
D
$$0.5$$
2

### GATE EE 2004

The block diagram of a closed loop control system is given by figure. The values of $$K$$ and $$P$$ such that the system has a damping ratio of $$0.7$$ and an undamped natural frequency $${\omega _n}$$ of $$5$$ rad/sec, are respectively equal to A
$$20$$ and $$0.3$$
B
$$20$$ and $$0.2$$
C
$$25$$ and $$0.3$$
D
$$25$$ and $$0.2$$
3

### GATE EE 2004

The unit impulse response of a second order under-damped system starting from rest is given by $$c\left( t \right) = 12.5{e^{ - 6t}}\,\sin 8t,\,\,t \ge 0.$$
The steady-state value of the unit step response of the system is equal to
A
$$0$$
B
$$0.25$$
C
$$0.5$$
D
$$1.0$$
4

### GATE EE 2003

A control system with certain excitation is governed by the following mathematical equation $${{{d^2}x} \over {d{t^2}}} + {1 \over 2}{{dx} \over {dt}} + {1 \over {18}}x = 10 + 5{e^{ - 4t}} + 2{e^{ - 5t}}$$\$
The natural time constants of the response of the system are
A
$$2s$$ and $$5s$$
B
$$3s$$ and $$6s$$
C
$$4s$$ and $$5s$$
D
$$1/3s$$ and $$1/6s$$
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#### Questions Asked from Time Response Analysis

On those following papers in Marks 2
Number in Brackets after Paper Indicates No. of Questions
GATE EE 2015 Set 2 (1)
GATE EE 2013 (1)
GATE EE 2011 (2)
GATE EE 2009 (1)
GATE EE 2008 (2)
GATE EE 2007 (3)
GATE EE 2005 (2)
GATE EE 2004 (2)
GATE EE 2003 (3)
GATE EE 2000 (1)
GATE EE 1996 (2)
GATE EE 1991 (1)

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NEET

Class 12