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Posted By: murali Member Level: Silver Posted Date: 09 May 2008
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2007 Jawaharlal Nehru Technological University B.E Electrical and Electronics CONTROL SYSTEM SET NO 4 Question paper
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Code No: R05220205 Set No. 4
II B.Tech II Semester Supplimentary Examinations, Aug/Sep 2007
CONTROL SYSTEMS
( Common to Electrical & Electronic Engineering, Electronics &
Communication Engineering, Electronics & Instrumentation Engineering,
Electronics & Control Engineering, Electronics & Telematics and
Electronics & Computer Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) Explain regenerative feedback?
(b) Determine the sensitivity of the closed loop transfer function T(s) = C(s)
R(s) to
variations in parameter K at ? = 5 rad/sec. Assume the normal value of K is
1. Shown in figure 1b. [6+10]
Figure 1b
2. (a) State and explain mason’s gain formula for the signal flow graph.
(b) What are differences between block diagram reduction and signal flow graph
reduction? [8+8]
3. (a) For an under damped second order system ,define various time domain speci-
fications?
(b) The forward path T.F. of a unity feed back control system is given by
G(s) = 2
s(s+3) . Obtain the expression for unit step response of the system?
[8+8]
4. Open loop T.F. of a unity feed ?back system is G(s) = K(s+a)
s(s+b)
(a) Prove that break-away and break-in points will exist only when |a| > |b|
(b) Prove that the complex points on the root locus form a circle with center (-a,0)
and radius pa2 - ab. [16]
5. (a) Define
i. Minimum phase tf
ii. Non minimum phase tf
(b) Enlist the steps for the construction of Bode plots
(c) Explain the procedure for determination of transfer function from Bode plots.
[4+4+8]
1 of 2
Code No: R05220205 Set No. 4
6. (a) Explain Nyquist stability criterion.
(b) With the help of Nyquist plot assess the stability of a system G(s) = 3
s(s+1)(s+2)
What happens to stability if the numerator of the function is changed from 3
to 30? [6+10]
7. (a) What is compensation? what are the different types of compensators?
(b) What is a lag compensator, obtain the transfer function of lag compensator
and draw pole-zero plot?
(c) Explain the different steps to be followed for the design of compensator using
Bode plot? [3+3+10]
8. (a) A control system has a transfer function given by
G(s) = S+3
(S+1)(S+2)2 . Obtain the canonical state variable representation.
(b) A system is described by
x? =
?
?
-1 -4 -1
-1 -6 -2
-1 -2 -3
?
?
?
?
x1
x2
x3
?
? +
?
?
0
1
1
?
?
u
y = 1 1 1 [x]
Find the transfer function?. [8+8]
? ? ? ? ?
2 of 2
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