Download AKTU B-Tech 5th Sem 2016-2017 Control Systems 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) 2016-2017 Control Systems I Nic 501 Question Paper

Printed Pages: 4 NIC - 501
(Following Paper ID and Roll No. to be ?lled In your
Paper II) :
Answer Books)
2289454 Roll No.
B.TECH.
Regular Theory Examination (Odd Sem-V) 2016-17 .
CONTROL SYSTEMS - I
Time : 3 Hours - Max. Marks : 100
Section - A
1. Attempt all parts. All parts carry equal marks. Write
answer of each part in short. (10X2=20)
a) Distinguish between open loop and closed 100p
b)
g)
h)
control system.
Write the analogous electrical elements in force
voltage analogy for the elements of mechanical
translational system.
Derive the step response of a ?rst order system.
Why negative feedback is invariably preferred in '
closed loop system?
What are the basic properties of signal ?ow graph?
What is a polar plot?
What do you understand by type and order of a
system?
What is servomechanism?
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NIC ? 501
i) State angle and magnitude criteria in root locus.
j) De?ne state, State Variable State Space State Vector.
Section - B
2. Attempt any five parts from this section. (5X10=50)
a) Determine the transfer function C(s)/R(s) for the
block diagram shown in ?gure given below by using
Block Diagram Reduction Method.
b) Construct the state model for a system characterized
by differential equation:-
3 2
??6d y+ll?+6y=u
dt3 _ alt2 _
Give block diagram and signal flow graph
representation of the state model. .
c) A unity feedback control system is characterized
by an open-loop transfer function
GmHm = S(SflO)
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d)
g)
11)
NIC - 501
Determine the system gain K, so that the system
will have a damping ratio of 0.5. For this value of K,
?nd the rise time, peak time, settling time and peak
overshoot.
i) Explain the correlation between Transfer
function and state space equations.
ii) Derive the transfer function for Armature
controlled DC Servo motor.
Obtain the time response of the following system:
XI 1 0 X, 1
= + u
X2 1 1 X2 1
where 'u(t) is a unit step occurring at t = 0 and
XT(0)=[1 0]
i) Draw the response ofsecbnd order system for
critically damped case and when input is unit
step.
ii) Derive the expressions for Rise time, Peak
time, and peak overshoot.
The open loop transfer functidn of a system is
G(s)H(s)=k(s+l)/(s3+bs2+3s+l). Determine the
values of ?k? & ?b? so that system will oscillate at
frequency of 2rad/sec by using R-H criteria.?
What is the role of sensors and encoders in control
system? Explain the construction and principle of
potentiometer.
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NIC - 501
Section - C
Note: Attempt any two questions from this section.
* (2 X 15=30)
3. Sketch the root loci for the open loop transfer function
given below (The gain K is assumed to be positive) and
determine whether a system is stable or not:
k
G H = ??????.?
(S) (S) S(s 7L 1)(s2 + 4s + 13)
4. Sketch the bode plot of the system given by:
k
G H = '
(S) (S) s(s+0. 5)(s2 +0.6s+10) and determine the .
stability of the system
5. State Nyquist stability criterion. Investigate the stability
of a closed loop system with open loop transfer function
given by:
K (5 +3
S(S ? 1)
by using Nyquist plot. Also ?nd the value of Gain margin.
G(s)H(s) =
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