Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU) B-Tech 5th Semester (Fifth Semester) 2015-2016 Control System Eee 502 Nee 503 Question Paper
(Following Paper ID and Roll No. to be filled in your
Answer Book)
B.Tech. '
(SEM. V) THEORY EXAMINATION, 2015-16
CONTROL SYSTEM
Time : 3 hours] [MaximumMarks : 100
Section:A
Note : Attempt all sections. All sections carry equal marks.
Write answer of each part in short. (2 X 10=20)
(a) Explain open loop and closed system with physical
examples.
(b) State the necessary & suf?cient condition of
Routh Hurwitz criterion.
, (0) Explain the signi?cances of constant M & N
circles.
(d) What is the need of compensation in control
system?
(e) Draw the polar plot of open loop transfer function
1
32'
1 1000 (1) _ P.T.O.
(i) What are state and state variables?
- (g) Consider the system as shown in F ig Determine
the value of ?a? such that the damping ratio is 0.5.
C?(s)
R(s) + I
-?} ? 16/s(s+o.8) }
. I
1+
as I
(h) De?ne Rise time & Delay time for second order
control system.
(i) Explain Mason?s gain formula.
0) De?ne the term Centroid & Break Away point.
Section-B
Note: Attempt any ?ve questions of the following.
( 10 X 5=50)
2. Determine the transfer function C(s)/R(s) for the block
diagram shown in F ig. below
I 1000 (2) EEE-SOZ/NEE-503
Derive the expression for step response of second order
control system for under-damped.
Using Routh?s stability criterion, determine the range
of K open loop transfer function
K
G(S)H (s): S(s + 1X1 + 2s)
Construct Root loci for open loop transfer function:
G(S)H(S)=?(?+1K)(T+3)
Derive expression for resonant frequency and resonant
peak for second order control system.
Sketch the Nyquist plot for the system with open loop
transfer ?mction
60
G(5 )H (S)=W and comment on stablhty.
Write short notes on PD controller and Synchros.
Obtain state equation of a given transfer function?
E___-_1___
a) Us)_s3+2s2+3s+l
E- ?1
b) U(s)_(s+1Xs+4)
11000 .. . (3) P.T.O
Note: Attempt any tWO questions of the follow'ing.?
10.
11.
12.
Section-C
(ISXZ=30)
For a unity feedback system, the open loop transfer '
function is ' I
2(s+0.25).
G H =-??-???
(S) (S) 52(s+1)(s+0.5)
Draw Bode Plot and determine gain margimphase margin,
(ogc and 0pc.
A system characterised by the transfer function
Y(s): ?2
u(s) 53 +632 +11s+
6 Find. the state and output
equation in matrix from and also test the controllability
and observability of the given system.
.Write short notes of the following:
(a) ' Lead compensator
(b) Lag compensator
(c) Gain Margin and Phase Margin
._x_?
?I I 000 (4) EEE-SOZ/NEE-503
This post was last modified on 29 January 2020