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Control system sample questions for GATE exam

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Printed Date: 15Feb2025 at 11:43am


Topic: Control system sample questions for GATE exam
Posted By: Arpita
Subject: Control system sample questions for GATE exam
Date Posted: 09Jan2007 at 5:48pm


Que. 1 Sinusoidal oscillators are
A
stable
B
unstable
C
margin stable
D
conditionally stable

Que. 2 If thegain of the open loop system is doubled, the gain margin
A
is not affected
B
gets doubled
C
becomes half
D
become one fourth

Que. 3 Phase margin of a system is used to specified
A
relative stability
B
absolute stability
C
time response
D
freq. response

Que. 4 The feedback system with charecteristic equation s^4+20Ks^3+5s^2+10s+15=0
A
stable for all value of k
B
stable for +ive value of k
C
stable for infinity > k > 7
D
unstable for all value of k

Que. 5 In the above system if a=.1, the steady state error to unity ramp input 
will be
A
.16
B
.25
C
.35
D
.49

Que. 6 If the charecteristic equation of a close loop system is 1+k/s(s+1)(s+2)=0,the 
centroid  at the  asymptotes in root locus will be
A
0
B
2
C
-1
D
-2

Que. 7 The magnitude freq. response of a control system.the value of w1 and w2 
are respectively
A
10,200
B
20,200
C
20,400
D
100,400

Que. 8 A control system whose step response is -0.5(1+e^-2t) is cascaded in another 
control  block whose impulse response is e^-t the transfer function of 
the cascaded combination is
A
1/(s+1)(s+2)
B
1/s(s+1)
C
1/s(s+2)
D
0.5/(s+1)(s+2)

Que. 9 The error response of a secound order system to a step input is obtained 
as    E(t)=1.66e^-st sin(6t+37degree)  the damping ratio is
A
0.4
B
0.5
C
0.8
D
1.0

Que. 10 In a linear system an input of 5sin wt  produces an output of 10coswt 
the output  corresponding to input 10cos wt will be equal to
A
+5sinwt
B
-5sinwt
C
+20 sinwt
D
-20 sinwt



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