Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU) B-Tech 5th Semester (Fifth Semester) 2016-2017 Control System Nee 503 Question Paper
(Following Paper ID and Roll No. to be ?lled in your
Answer Books)
2289789 Roll No; i
Paper ll):
B.TECH.
Regular Theory Examination (Odd Sem-V), 2016-17
C ONTROL SYSTEM
Time .- 3 Hours Max. Marks? .- 100
SECTION -A
1. Attempt all parts. All parts carry equal marks. Wi'ite
answer of each?part in short. . 4 (10X2=20)
a) Discuss open loop and closed loop system giving
suitable examine.
b) Discuss the effect of feedback on the time constant
of a control system.
0) Explain the working of A C servomotor with neat
diagmm.
d) Give the comparison between PI and PID controller.
e) Discuss the signi?cance of various time domain
speci?cations.
f) Establish the relation between Routh and Hurwitz
stability criterion.
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NEE ? 503
g) Explain in brief :.
i) GainMargin
ii) Phase Margin. ?
h) What do you understand by relative stability?
Explain. '
i) Differentiate between lag and lead network in view
of their Bode - Plot.
j) Discuss the advantages of state variable technique
over transfer function approach.
SECTION - B
- th ee uestions from this section
Attempt any 1' q (3x 10:30)
Using Bleck diagram reduction techniques, ?nd theclosed
loop transfer function of the system whose blo'cls diagram
is given in ?g. 1
NEE - 503
Derive the expression forsecond order system response
when subjected to unit impulse input for damping ratio .
(?)<1.
A unity feedbaek system is characterized by an open loop
transfer function.
G(s)?
Determine ~the gain ?K? so that the system will have a
damping ratio of 0.5. For this value of ?K?. Determine
the settling time, peak overshoot and time to peak-
overshoot for a unit step input
_. K ?
s(s+10)
For a closed loop system whose transfer is
KenS'T
G (5)17 (S) = S (S +1) , determine the maximum value of
the gain ?K? for stability.
What is Closed loop frequency response? Give an account-
of the correlation between time response and frequency
response for a second order system with relevant
expressions. '
i) Derive the transfer function from state model.(2)
ii) Obtain the complete solution of nonhqmogenedus
state equation using time domain method. (2)
iii) Discuss the signi?cance of Lag network. Also draw
its s-plane representation and bode plot.
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NEE - 503
_ SECTION -C
Attempt all questions
1. Attempt any one part of the following. (10X1'=10)
a) Find the transfer function of the signal ?ow graph
shown in ?g.2, using Mason?s gain formulae.
1916.?). *Wr
b) What do understand by the term sensitivity?
Consider the feedback control system shown in
?g.3. The nonnal value of the process parameter
?K? is 1. Determine the sensitivity of transfer
C(s)
function T(s) ? R(s ) to variations in parameter
?K?, at w=5.
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NEE - 503
2.. Attempt any one part of the following: (10X1=10)
a) Discuss different type of test signal used for
analysis of control system in time domain.
The reference input to a unity feedback system is
shown in ?g. 4. 2m open loop transfer ?mctlon of
the system is.
400(s+1)
0(3) = (s + 2)(s + 8)
Calculate the steady-state error.
r(t) \
?10 20 30 40
Fig - 4
b) Diseuss the effect on the performance of a second
order control system of
i) Deriv?tive control
ii) Integral control.
3. Attempt any one part of the following (10X1=10)
. a) Explain the working principle of stepper motor with
neat diagram.
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NEE - 503
The characteristics equation for a feedback control
is, s3+5s2+125+k=0
Find the range of K for all the roots to lie to the left
of s = -1
b) Sketch the root locus for the elosed loop control
K
? - G s = ???-?
byStem Wlth ( ) S(S +1)(s2 + 4s + 5)
4. Attempt any one Part of the following: (10X l=10)
a) The steady state output of the system for a sinusoidal
input of unit magnitude and variable frequency w is -
givenas
1 -? 27u
C(?) = ???--Sin[wt?tan'l ?]
(1?242)_L+422u2 Vl-uz
Determine :
i) Resonant frequency
ii) ReSonant Peak
iii) Bandwidth
iv) ? Phase angle.
b) Draw Bode plot (log magnitude plot) for the transfer
function. '
203
GM : s2 + 20s + (1 00)2
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NEE - 503
OR
Using Nyquist stability? criterion, Investigate the
stability of a unity feedback system with open loop
transfer function.
_ (s?z,)
G(S) _ S(s +p]))?
Also discuss the signi?cance of M circle.
zl,p,>0
5. Attempt any one part of the following. (10X1=10)
3)
b)
State and explain eontrollability and observability '
in view of Kalman and Gilbert test.
The state equation for a system is
?3 _1X+ 1
: u
X 2 0 ?1
check whether the system is completely
Controllable .
Design a phase lead compensator for a negative
unity feed baek system with plant transfer ?mction.
K
S(s+10)(s+1000) ?0 ??me the
conditions :
GP(S) =
phase margin is atleast 45?
static error constant =1000 S'I
503/12/2016/5600 (7)
This post was last modified on 29 January 2020