Download AKTU B-Tech 5th Sem 2017-2018 NIC 501 Control System I 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) 2017-2018 NIC 501 Control System I Question Paper

Printed pages: 3 Sub Code: NIC 501
Paper Id: Ilill? Roll No. KW
B.TECH
(SEM V) THEORY EXAMINATION 2017-18
CONTROL SYSTEM-I
T ime:3 Hours T 0m] Marks:l00
NotezAttempt all Sections. If require any missing data; then choose suitably.
SECTION-A
Attempt all questions in brief. 2 x 10 = 20
a). Define transfer function.
b). Define non-touching 100p.
c). De?ne gain cross over frequency & Phase cross over frequency?
(1). What is corner frequency & What is Band width?
e).What is steady state response?
f).List the time domain specifications
g) . Write the condition of a system to be controllable.
h). What is an asymptote.
i) What is the necessary condition for stability?
j). What do you mean by dominant pole & What is an impulse response?
SECTION - B
2. Attempt any three of the following: 10 x 3 = 30
a) Determine the transfer function Y2(S)/F(S) of the system shown in fig
b). Derive the expressions and draw the response of first order system for unit step input
c). Plot the Bode diagram for the following transfer function and obtain the gain and phase cross over
frequencies G(S) =KS2 / (1+0.ZS) (1+0i02S).Determine the value of K for a gain cross over frequency
of 20 rad/seci

d)iSketch the root locus of the system whose open loop transfer function is G(S)= K / S
(S+2)(S+4).Find the value of K so that the damping ratio of the closed loop system is 0.5
e). For a unity feedback control system the open loop transfer function G(S) = 10(S+2)/ S 2(S+1)iFind
(i) position, velocity and acceleration error constants. (ii)the steady state error when the input is R(S)
where R(S) =3/s ?2/s2 +1/3s3
SECTION - C
3.Attempt any one part of the following: 10 x 1 = 10
a). F ind the overall gain of the system whose signal ?ow graph is shown in fig?
("(8)
ms) Q?? /_\K
-H
b) Draw a signal ?ow graph and evaluate the closed loop transfer function of a system whose block is
shown in fig?
G:
R15) q a i
? n _ + / ?
??+H\>?/)?> (-.. , (14 ab.__. 03)
T />\ i
H: ~ 5 )G? HI ?
cu 1?
4.Attempt any one part of the following: 10 x 1 = 10
a). A positional control system with velocity feedback is shown in fig. What is the response c(t) to
the unit step input Given that C =0i5.and also calculate rise time, peak time, Maximum overshoot and
settling time
? ? [(3 ? ? ?
R(?S? W? S(S10.8) 7 (Ab,
T? K<+ I
b). The unity feedback system is characterized by an open loop transfer function is G(S)= K /
S(S+10).Determine the gain K ,so that the system will have a damping ratio of 0.5iFor this value of K,
determine settling time,Peak overshoot and time to Peak overshoot for a unit-step input

S.Attempt any one part of the following: 10 x 1 = 10
a).A lineaI time invariant system is characterized by the state variable model. Examine the controllability and
observability of the system
00 0
A210 ?3
01?4
40
B: 10 ;C=[0 0 1]
0
b). A system is described by the following differential equation . Represent the system in the state space.
d3x dzx dx
?+3?+4?+4x=u t +3u t+4u t andout utsare
dt3 dtz dt 1() 2() 3() p
2
Y1=4?+3up Y2=?+4u2+u3
dt 2
6.Attempt any one part of the following: 10 x 1 = 10
a).Construct the polar plot for the function GH(S) =2(S+1)/ 82? find Gain cross over frequency ,Phase
cross over frequency, Gain margin and Phase margin
b). Construct Nyquist plot for a feedback control system whose open loop transfer function is given by
G(S)H(S) =5/ S(l-S).Comment on the stability of open loop and closed loop transfer function.
7.Attempt any one part of the following: 10 x 1 = 10
a). Obtain the response of unity feedback system whose open loop transfer function is G(S) = 4 / S
(8+5) and When the input is unit step
b) A unity feedback system has an amplifier with gain Ka=10 and gain ratio G(S) = 1 / S (S+2) in the
feed forward Path. A derivative feedback ,H(S)=SK0 is introduced as a minor loop around
G(S).Determine the derivative feedback constant ,Ko ,so that the system damping factor is 0.6