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Reg. No. :


B.E./B.Tech. DEGREE EXAMINATION, NOVEMBER/DECEMBER 2010
Fourth Semester
Electronics and Communication Engineering
EC 2255 CONTROL SYSTEMS
(Regulation 2008)
Time : Three hours Maximum : 100 Marks
(Graph Sheets, Semi log sheets and polar charts are to be provided)
Answer ALL questions
PART A (10 2 = 20 Marks)
1. Give the comparisons between open loop system and closed loop system.
2. Define the transfer function of a system.
3. What is meant by peak overshoot?
4. What is meant by steady state error?
5. List the advantages of Nichol's Chart?
6. What are the specifications used in frequency domain analysis?
7. What is meant by BIBO stability?
8. Using Routh criterion, determine the stability of the system represented by the
characteristic equation 0 5 16 18 8
2 3 4
= + + + + S S S S . Comment on the location
of the roots of characteristics equation.
9. What is meant by sampling theorem?
10. Mention the need for state variables?
Question Paper Code : 64027
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64027 2
PART B (5 16 = 80 Marks)
11. (a) (i) The transfer function of a system is given by,
( )
( )
( )( )( ) 12 7 5 2
6
2
+ + + +
+
=
s S s s s
s K
s T Determine
(1) Poles
(2) Zeros
(3) Characteristics equation
(4) Pole-zero plot in s-plane. (8)
(ii) Find
( )
( ) s R
s C
for the signal flow graph shown below. (8)

Or
(b) (i) Reduce the block diagram to its canonical form and obtain
( ) ( ). s R s C (10)

(ii) Give the comparison between block diagram and signal flow graph
methods. (6)
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64027 3
12. (a) The open loop transfer function of a unity feedback system is given by
( ) ( ) 1 + = sT s K s G , where K and T are positive constant. By what factor
should the amplifier gain K be reduced, so that the peak overshoot of unit
step response of the system is reduce from 75% to 25%. (16)
Or
(b) Explain in detail the system response with, PI, PD and PID controllers.
(16)
13. (a) Sketch Bode plot for the following transfer function and determine the
system gain K for the gain cross over frequency to be 5 rad/sec
( )
( )( )
2
1 0.2 1 0.02
Ks
G s
s s
=
+ +
. (16)
Or
(b) The open loop transfer function of a unity feedback system is given by
( )
( )( ) s s s
s G
2 1 1
1
2
+ +
= . Sketch the polar plot and determine the gain
margin and phase margin.
14. (a) Sketch the root locus of the system whose open loop transfer function is
( )
( )( ) 4 2 + +
=
s s s
K
s G . Find the value of K, so that the damping ratio of the
closed loop system is 0.5. (16)
Or
(b) Construct the Nyquist plot for a system whose open loop transfer
function is given by ( ) ( )
( )
3
2
1
S
S K
s H s G
+
= . Find the range of K for
stability. (16)
15. (a) (i) Explain in detail the state space representation for continuous time
systems. (8)
(ii) Explain in detail the state space representation for discrete time
systems. (8)
Or
(b) Determine the state controllability and observability of the system
described by u x x

=
1 2
0 0
1 0
1 0 0
1 0 1
1 1 3
x y

=
0 1 1
1 0 0
. (16)

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