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1

### 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 $$1/6s$$
2

### GATE EE 2003

The roots of the closed loop characteristic equation of the system shown in fig is A
$$-1$$ and $$-15$$
B
$$6$$ and $$10$$
C
$$-4$$ and $$-15$$
D
$$-6$$ and $$-10$$
3

### GATE EE 2003

The block diagram shown in fig given is a unity feedback closed loop control system. The steady state error in the response of the above system to unit step input is A
$$25\%$$
B
$$0.75\%$$
C
$$6\%$$
D
$$33\%$$
4

### GATE EE 2000

A unity feedback system has open-loop transfer function $$G\left( s \right) = {{25} \over {s\left( {s + 6} \right)}}.$$ The peak overshoot in the step-input response of the system is approximately equal to
A
$$5\%$$
B
$$10\%$$
C
$$15\%$$
D
$$20\%$$
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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