Download AKTU B-Tech 5th Sem 2015-2016 Control System I Nic 501 Question Paper

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 I Nic 501 Question Paper

Printed Pages: 5 698 NlC?SOI
(Following Paper ID and Roll No. tovbe ?lled in your
Answer Book)
Roll No.
B.Tech.
(SEM. V) THEORY EXAMINATION, 2015-16
CONTROL SYSTEM-I
[Time : 3 hours] [Maximum Marks : 100]
SECTION?A
I. Attempt all parts. All parts carry equal marks. Write
answer ofeach part in short. (2 x 10=20_)
(a) Compare between an open~loop and closed loop
control system.
(b) What is a Techo-generator ?2.
(0) Explain Controllability of the system.
(d) Explain Eigen vector.
(e) What is a dominant pole pair ?
(f) Mention the nature of transient response of second
order cont r01 system for different types of damping
(g) De ?ne damping ratio.
11500 (1) P120.

K
(h) Draw the polar plot for G(S)H(S) = ?V-
(i) What is the general effect of adding a pole to the
forward path mmsfer function ?
0) Explain phase margin.
SECTIONs-B
Note: Attempt any ?ve questions from this section.(10><5=50)
2. Discuss the effect of feedback on stability of the
system. Determine the overall transfer function of the
given system below usng block diagram reduction
technique.
3. De?ne the following SFG terminology-
(a) Forward Path
(b) Loop
(c) Self loop
11500 (2) NIC-501
11500
'(d) Non~touching loops
Find the closed loop transfer function of the system
given using mason?s gain fonnula.
What are the advantages of state space techniques ? For
the given transfer function obtain the dynamic equations.
3 K
0(3): ?=?r?2??
u(s) s + aJS +023 + a1
For the following state equation, determine the
transferfunction Y(s)/U(s).
0 3 0
m _3]m+[3}m
y(t) =[1 0]x(r)+u(t)
Discuss the time response of a ?rst order control
system subjected to unit ramp input. A certain unity
feedback system is described by the following trans fer
function
? (3) P.T.O.

K
G(s) =?,????~?
s'(s +30)(s +50)
Determine the state error coef?cients and alsu
determine the value of K to limit the steady state error
to 20 units due to input r(t)=l+10t+20tz.
7. Derii/e thetir?ne response of a second order system
subjected to unit step input?
8. Determine the ranges ofK such that the characteristics
equation.
53 +3(K+1)s2 +(7K +5)s+4K+7=0 has roots more
negative than S: ? l. ?
x
9. Give frequency domain speci?cations. Determine the
expression for resonant peak and resonant frequency
for a second order system.
SECTION?C
Note: Attempt any two parts from this section : { 15 ><2=30)
10. What is meant by the term magnitude criterion with
reference to root locus technique? Sketch the root
locus for system with
K(s+4)
G(s)H(s) Z s(s2 + 2s + 2)
11500 (4) NIC-SOl
11. Discuss Nyquist Stability criterion in detail. Also
sketch the Nyquist plot for the system With
_ __?1:9-_5?l__
G(S)H(S) ? 52 (1 + 0.15)(1+ 0.025) '
Comment on stability and ?nd the value of gain margin.
12. Explain what is bode plot. Draw the bode plot of the
unity feedback control system having open loop transfer
function.
10
?(SFW
Also determing GM and discuss the stability of closed
loop system.
11500 ? (5) WOW