2015
1.
The polar plot of the transfer function G(s)
= 10(s+1)/(s+10) for 0 <
ω
< ∞
will be in the
a)
first quadrant
b)
second quadrant
c)
third quadrant
d)
fourth quadrant
Solution : https://www.youtube.com/watch?v=-2VWgQ6uM1I
2.
A unity negative feedback system has the open loop transfer function
the value of the gain K (>0) at which the root locus crosses the imaginary axis is __________________
the value of the gain K (>0) at which the root locus crosses the imaginary axis is __________________
Solution : https://www.youtube.com/watch?v=taFVjNfxJ_Q
3.
A lead compensator network includes a parallel combination fo R and
C in the feed-forward path. If the transfer function of the
compensator is GC(s) =
(s+2)/(s+4) , the value of
RC is ___________
Solution : https://www.youtube.com/watch?v=DeKH-DPUdMo
When
the plant operates in a unity feedback configuration, the condition
for the stability of the closed loop system is
a)
KP
> KI/2
> 0
b)
2KI
> KP
> 0
c)
2KI
< KP
d)
2KI
> KP
Solution : https://www.youtube.com/watch?v=1jJORFpuY5Y
The
value of a gain K( >0 ) for which -1+j2 lies on the root locus is
_________.
Solution : https://www.youtube.com/watch?v=IhF_FZ9IJvI
6.
A unity negative feedback system has an open loop transfer function
G(s) = K / S(S+10), the gain K for the system to have a damping ratio
of 0.25 is _____________
Solution : https://www.youtube.com/watch?v=LCcmOh0C1rY
Solution : https://www.youtube.com/watch?v=rqTM5Z91Ihc
8.
By performing cascading and/or summing/differencing operations using
transfer function blocks G1(s)
and G2(s),
one CANNOT realize a transfer function of the form
Solution : https://www.youtube.com/watch?v=4HChAlhqy2E
The
unit step response of the system approaches a steady state value of
_____________
Solution : https://www.youtube.com/watch?v=dk2BLg2jp9U
The
response y(t) is
a)
sin (t)
b)
1 –
et
c)
1 – cos (t)
d)
0
Solution : https://www.youtube.com/watch?v=Ax6VxSUUJtA
Solution : https://www.youtube.com/watch?v=gRlkHoZYDX4
12.
Consider the differential equation dx/dt = 10 – 0.2x with initial
condition x(0) = 1. The response x(t) for t > 0 is
a)
2 – e-0.2t
b)
2 – e0.2t
c)
50 – 49e-0.2t
d)
50 – 49e0.2t
Solution : https://www.youtube.com/watch?v=AXJqGP3EzsE
13.
The transfer function of a first order controller is given as Gc(s) =
K(s+a)
/ (s+b),
where K, a and b are positive real numbers. The condition for this
controller to act as a phase lead compensator is
a)
a < b
b)
a > b
c)
K < ab
d)
K > ab
Solution : https://www.youtube.com/watch?v=uKr3VkkMkow
14.
Consider the Bode plot shown in figure.
Assume that all the poles and zeros are real valued. The value of fH – fL (in Hertz) is ____________________
Assume that all the poles and zeros are real valued. The value of fH – fL (in Hertz) is ____________________
Solution : https://www.youtube.com/watch?v=R95T4ztuNQo
15.
The phase margin (in degrees ) of the system G(s) = 10 /s(s+10)
is _____________
Solution : https://www.youtube.com/watch?v=WXHKVhdLeOc
16.
The characteristic equation of an LTI system is given by F(s) = s5
+ 2s4
+ 3s3
+ 6s2 –
4s – 8 = 0. The number of roots that lie strictly in the left half
S – plane is __________.
Solution : https://www.youtube.com/watch?v=oz77HAXHwQU
Solution : https://www.youtube.com/watch?v=z5t9oMUeA-U
Solution : https://www.youtube.com/watch?v=mhCsqV9Gd2g
19. The position control of
a DC servo-motor is given in the figure. The values of the parameters
are KT = 1 N-mA, Ra = 1 ohm, La = 0.1 H, J = 5
kg-m2, B = 1 N-m/(rad/sec) and Kb = 1 volt/(rad/sec). The
steady state position response(in radians) due to unit impulse
disturbance torque Td is _______.
Solution : https://www.youtube.com/watch?v=mbkr17M1Cng
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