KIIT University 2007 B.Tech Electronics and Tele-Communication Engineering CONTROL SYSTEM - Question Paper
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CONTROL SYSTEM
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CS-l EE 504 (E&EE, E&TC)
FIFTH SEMESTER EXAMINATION-2007 CONTROL SYSTEM-1 [ EE 5041
Full Marks: 70 Time: 3 Hours
Answer any SIX questions including Question No.l which is compulsory.
The figures in the margin indicate full marks.
Candidates are required to give their answers in their own words as far as practicable and of all parts of a question should be answered at one place only.
1. a) What do you mean by analogous system? Name the [2x10 two types of electrical analogies for the mechanical system.
b) What is meant by magnitude criteria in root locus techniques?
c) What is saddle point and state the rule for obtaining the saddle point?
d) What is phase margin and gain margin? State the significance.
e) How to obtain the angle of departure and angle of arrival for the loot loci?
f) What is the effect of addition of poles and zeros to the stability of the system?
g) What are the time domain specifications?
h) What are the static error constants?
0)
KJIT-U/2007/Autumn End Semester Examination-2007
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re MODF-1, |
What is phase cross over frequency?
j) Differentiate between derivative control and derivative feedback control with example.
C(s)
2. a) Find out the transfer function ~~~ using Masons gain
R(s)
formula for the given block diagram.
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im _____TrTL |
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b) Write the differential equation for the given mechanical system. Also obtain on analogous electrical circuit based on force-current analogy.
T
3. a) Derive the transfer function for the given network.
iJ-AM-
? R, v,(t) i _
~T
v(t)
J
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C(s) b) Find out the transfer function j-L using block [5 R(s) reduction techniques for the given block diagram. |
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a) A 2nd order control system incorporating proportional plus derivative control is shown in below. |
-is-
R(s) . k-x .rm C(s)
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-*1 Vs*, |
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Derive an expression for the steady state error when the system is subjected to a unit ramp input.
R(s) -
b) A unity feedback control system having open-loop
s + 2
transfer function G(s) =
is subjected to a unit
s(s +1)
step input. Determine the peak time tp, rise time tr and % maximum overshoot.
a) Determine the stability of closed loop system having characteristic equation as
s6+3s5+5s4+9s3+8s2+6s+4=0
If the system is unstable then find out the number of roots of the characteristic equation in the right half of s-plane.
(3)
/2007/Autumn End Semester Examination-2007
b) A system having characteristic equation
s4+20Ks3+5s2+10s + 15 = 0
Determine the range of values K for the system to be stable.
6. a) Sketch the root locus for 0<K <00, for the system with open loop transfer function
[5
[5
G(s)H(s)
s(s + 3)(s2+2s+2)
b) Find out the gain margin of the system having 10
G(s)H(s)
(s + 3)'
7. a) Sketch the polar plot of the transfer function
[5
[5
s(s + 1)(s+2)
G(s)
b) Sketch the Bode plot for the transfer function 300(s2+2s + 4)
s(s + 10)(s + 20)
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[2x5 |
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8. Write short notes, (any two)
a) Secromechanism
b) Synchros
c) A.C. Tachometer
KIIT-U/2007/Autumn End Semester Examination-2007
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Attachment: |
| Earning: Approval pending. |
