(Common to EEE, ECE, EIE)
Time: 3 Hours
Max. Marks: 75
Note: This question paper contains two parts A and B.
Part A is compulsory which carries 25 marks. Answer all questions in Part A.
Part B consists of 5 Units. Answer any one full question from each unit.
Each question carries 10 marks and may have a, b, c as sub questions.
PART- A
1.a)
b)
c)
d)
Write the Manson’s gain formula.
What are the basic properties of SFG?
What are the standard test signals used in control systems?
Distinguish between type and order of a system.
f)
Explain the basis of root locus plot
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g)
h)
i)
j)
What is polar plot?
Define gain and phase margins.
What is state diagram?
Mention any four advantages of state variable representation.
(25 Marks)
[2]
[3]
[2]
[2]
[3]
[2]
[3]
PART TWO
(50 Marks)
2.a)
b)
Find
Compare the AC and DC servomotors.
For the system represented by the block diagram shown in figure 1.
.
[4+6]
Figure: 1
OR
c)
C(s)
for the signal flow graph shown in figure 2.
R(s)
Find the overall gain
[4+6]
Figure:
4.
The open-loop transfer function of a unity feedback control system
9
. Find the natural frequency of response, damping ratio, damped
G(s) 
s(s  3)
frequency and time constant.
5.
[10]
OR
For unity feedback control system the open loop transfer function,

Find the ess when the input is r(t)  3  2t  3t2. And find Kp ,Kv , and Ka.
6.a)
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b)
10(s  2)
s 2 (s  4)
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[10]
Determine the RH stability of given characteristic equation, s4  8s3 18s2 16s  5  0.
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Sketch the root locus of the system, whose open loop transfer function is,
G(s)  K (s 15)
s(s 1)(s  5)
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[4+6]
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OR
7.
Given G(s) 
0.2s
Ke
. Find K so that the system is stable with, a) GM=2db,
s(s  2)(s  8)
b) PM=450
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[10]
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The open loop transfer function is given by G(s)H (s) 
8.
stability of closed loop system.
9.
OR
The open-loop transfer function of a system is given by
K
Gp (s)  s(1 0.1s)(1 0.2s)
K (1 4s)
2
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, Determine the
s (1 s)(1 2s)
[10]
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Design a lag-lead compensator to meet the Kv=100sec-1 and Phase margin  300. [10]
iii)States space representation.
 1 0
b) Find the state transition matrix for the following matrix, A  
.
1 1 
10.a)Define: i) State
ii) State variables
c) Obtain the state space representation for the following differential equation.
y  5y  7 y  114
Where y is the output and yii is the input
11.
OR
The state equation of a linear-time invariant system is given as,
5
0
1 and y  1 1 X ,
X 
X r
1
1 2


 
Find the transfer function and draw the state diagram.
[10]