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Arpita
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Joined: 04Jan2007
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Quote Arpita Replybullet Topic: Control system sample questions for GATE exam
    Posted: 09Jan2007 at 5:53pm


Que. 1 In the Bode plot of a unit feedback control system, the value of the phase 
of G(jw) at  the gain cross over frequency is -125degree the phase margin 
of the system is
A
-125 degree
B
-55 degree
C
55 degree
D
125 degree

Que. 2 the transfer function of a system is   [2s^2+6s+5]/[(s+1)^2.(s+2)]    
                                                                      
             the characteristic equation of the system is
A
2s^2+6s+5=0
B
(s+1)^2(s+2)=0
C
2s^2+6s+5+(s+1)^2(s+2)=0
D
2s^2+6s+5-(s+1)^2(s+2)=0

Que. 3 for the system described by the state equaction
            |0   1    0|    |0|
        x=  |0   0    1|x + |0|u
            |0.5 1    2|    |1|
  if thecontrol signal u is given by u=[-0.5  -3  -5]x+v, then the value eigenvalues of the
 closed loop system will be
A
0,-1,-2
B
0,-1,-3
C
-1,-1,-2
D
0,-1,-1

Que. 4 A system described by the transfer function  H(s)=1/[ s^3+as^2+ks+3]  
is stable. the constraints on a and k are
A
a>0,ak<3
B
a>0,ak>3
C
a<0,ak>0
D
a>0,ak<0

Que. 5 If a signal f(t) has energy E,the energy of the signal f(2t)=
A
E
B
E/2
C
2E
D
4E

Que. 6 The open loop transfer function of a feed back control system is G(s)H(S)=1/(s+1)^3. 
The gain margin of the system is
A
2
B
4
C
8
D
16

Que. 7 An advantage of memory interlacing is that
A
a large memory is obtaind
B
effective speed of the memory is increased
C
the cost of the memory is reduced
D
in an voltatile memory is obtained

Que. 8 When the root of a charecteristic equation are conjugate and on the imaginary 
axis, the response is of the type
A
A sin(wt+beta)
B
Ae^(o-t)
C
Ae^-(o-t)
D
A ln(o-t)

Que. 9 A degreereferigerable monoshot is one which
A
can be triggered only once
B
has two Quasi-stable states
C
cannot be triggered untill full pulse has been outonly once
D
is capable of being triggered while the out put is being

Que. 10 Well designed firstorder controll systems have
A
A -ve time constant
B
A small band width
C
A small -ve even value
D
A large -ve transfer function pole
                                                               



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