Firstranker's choice
Printed pages: 3
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Paper Id: 3063
Time: 3 Hours
Roll No.
B.TECH
(SEM V) THEORY EXAMINATION 2017-18
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CONTROL SYSTEM-I
Sub Code: NIC 501
Total Marks: 100
Note: Attempt all Sections. If require any missing data; then choose suitably.
SECTION-A
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Attempt all questions in brief.
- a). Define transfer function.
- b). Define non-touching loop.
- c). Define gain cross over frequency & Phase cross over frequency?
- d). What is corner frequency & What is Band width?
- e). What is steady state response?
- f). List the time domain specifications.
- g). Write the condition of a system to be controllable.
- h). What is an asymptote.
- i). What is the necessary condition for stability?
- j). What do you mean by dominant pole & What is an an impulse response?
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SECTION - B
2. Attempt any three of the following:
-
a) Determine the transfer function Y2(S)/F(S) of the system shown in fig
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K
f(t)
M1
K2
M2
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?2
¥1
2 x 10 = 20
-
10 x 3 = 30
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- b). Derive the expressions and draw the response of first order system for unit step input.
- c). Plot the Bode diagram for the following transfer function and obtain the gain and phase cross over frequencies G(S) =KS2 / (1+0.2S) (1+0.02S).Determine the value of K for a gain cross over frequency of 20 rad/sec.
- d).Sketch the root locus of the system whose open loop transfer function is G(S)= K / S (S+2)(S+4).Find the value of K so that the damping ratio of the closed loop system is 0.5
- e). For a unity feedback control system the open loop transfer function G(S) = 10(S+2)/ S²(S+1).Find (i) position, velocity and acceleration error constants. (ii)the steady state error when the input is R(S) where R(S) =3/S -2/S² +1/3S3
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SECTION - C
3. Attempt any one part of the following:
-
a). Find the overall gain of the system whose signal flow graph is shown in fig.
-H1
GA
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10 x 1 = 10
G
1
R(S)
G
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G
G
-H
G
(16
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G7
1
C(S)
-
b). Draw a signal flow graph and evaluate the closed loop transfer function of a system whose block is shown in fig.
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R(S)
G
+
G2
G3
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+
?C(S)
H2
G4
H
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4. Attempt any one part of the following:
-
10 x 1 = 10
-
a). A positional control system with velocity feedback is shown in fig. What is the response c(t) to the unit step input. Given that ? =0.5.and also calculate rise time, peak time, Maximum overshoot and settling time.
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R(S)
16
s (s+0.8)
Ks + 1
C(S)
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-
b). The unity feedback system is characterized by an open loop transfer function is G(S)= K / S(S+10).Determine the gain K,so that the system will have a damping ratio of 0.5.For this value of K, determine settling time,Peak overshoot and time to Peak overshoot for a unit-step input.
5. Attempt any one part of the following:
-
10 x 1 = 10
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-
a). A linear time invariant system is characterized by the state variable model. Examine the controllability and observability of the system
000
A=10-3
40
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01-4
B = 10; C =[0 0 1]
0
dx
-
b). A system is described by the following differential equation. Represent the system in the state space.
d³x d²x
+3
+4
dt³
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3
dt²
- + 4x = u1 (t) + 3u2 (t) + 4u3 (t) and outputs are
dt
dx
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d²x
Y1=4+3u, Y2 =
+ 4u2+U3
dt
dt2
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6. Attempt any one part of the following:
-
10 x 1 = 10
-
a).Construct the polar plot for the function GH(S) =2(S+1)/ find Gain cross over frequency,Phase cross over frequency, Gain margin and Phase margin.
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-
b). Construct Nyquist plot for a feedback control system whose open loop transfer function is given by G(S)H(S) =5/ firstranker.comment on the stability of open loop and closed loop transfer function.
7. Attempt any one part of the following:
-
10 x 1 = 10
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-
a). Obtain the response of unity feedback system whose open loop transfer function is G(S) = 4 / S (S+5) and When the input is unit step.
-
b). A unity feedback system has an amplifier with gain K1=10 and gain ratio G(S) = 1 / S (S+2) in the feed forward Path. A derivative feedback,H(S)=SK0 is introduced as a minor loop around G(S).Determine the derivative feedback constant „Ko so that the system damping factor is 0.6
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