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NKT/KS/17/7396 1 P.T.O
B.E. Sixth Semester (Mechanical Engineering) (C.B.S.) Control System Engineering
P. Pages : 4 NKT/KS/17/7396
Time : Three Hours Max. Marks : 80
_____________________________________________________________________
Notes : 1. All questions carry marks as indicated.
2. Solve Question 1 OR Questions No. 2.
3. Solve Question 3 OR Questions No. 4.
4. Solve Question 5 OR Questions No. 6.
5. Solve Question 7 OR Questions No. 8.
6. Solve Question 9 OR Questions No. 10.
7. Solve Question 11 OR Questions No. 12.
8. Due credit will be given to neatness and adequate dimensions.
9. Assume suitable data whenever necessary.
10. Illustrate your answers whenever necessary with the help of neat sketches.
11. Use of non programmable calculator is permitted.
1. a) Differentiate between hydraulic and pneumatic actuators.
4
b) Write equation of motion of translational mechanical system shown in fig. 1(b) and
determine Transfer function.
F(t)
x2(t)
10kg
2 N-s/m5 N-s/m2 N/m
Fig. 1(b)
9
OR
2. a) Explain in brief classification of control system.
4
b) Determine Transfer function of rotational mechanical system shown in fig. 2 (b)
T(t) 1 N-s/rad
1kg.m2 N1=25
4 N.m/rad
Q2
N2=50
Fig. 2(b)
9
*0562*
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NKT/KS/17/7396 2
3. a) Simplify the following system shown in fig. 3 (a) using block diagram algebra and
determine transfer function C(s) / R(s)
S S
2S
4
1S
1
R(S)
C(S)+
–+
Fig. 3(a)
–
+ +
+
–
–
8
b) Name four components of block diagram for liner time invariant system.
5
OR
4. a) Explain following terms w.r.to signal flow graph.
i) Forward path ii) Feed back path. iii) Source and sink node.
5
b) Determine transfer function C(s) / R(s) of signal flow graph show in fig. 4 (b) using
Mason's gain formula.
R(S)C(S)
G7 G8
G5G6
G1 G2
G3
G4 Fig. 4(b)
8
5. a) Explain PID controllers and there characteristics.
6
b) A unity feed back system has
)5S2S()2S(S
K)s(G
2
i) Determine limiting value of gain 'K' for unit ramp input so that 2.0ess
ii) Determine sse for input 2
2tt42)t(r
8
OR
6. a) Explain general principles for generating control action.
5
b) Determine transient response specifications of mechanical system shown in fig. 6 (b)
33N/m
15 N-s/m
x(t)
F(t)3kg
Fig. 6(b)
9 NapurStudents.Org
NKT/KS/17/7396 3 P.T.O
7. For the transfer function having characteristic equation
20s38s48s59s39s22s12ss)s(H)s(G1 2345678
comment on system stability using Routh's criterion.
Also, tell how many poles lies in RH, in LH and on Jw axis.
13
OR
8. Sketch the root locus for a system represented by block diagram as below.
R(S) 4S2S
20S4SK 2
C(S)
Fig. 8
+
_
i) determine gain 'K' for 45.0
ii) determine marginal value of gain 'K'
iii) find range of 'K' within which system is stable.
13
9. Draw the Bode log-magnitude and phase plots for
)25s2s()2s(
)3s()s(GH
2
Determine
i) Gain margin (Gm)
ii) Phase margin (Pm)
iii) Comment on stability
14
OR
10. a) Draw polar plot for system having
)2s()1s(s
12)s(GH
state whether system is stable or not.
8
b) Find open loop transfer function of system having Bode magnitude plot as shown in fig.
10 (b)
–20dB/doc
–40dB/doc
5 10
50
–60dB/doc
Fig. 10(b)
6
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NKT/KS/17/7396 4
11. a) Determine whether the system given below is completely controllable and observable or
not.
x131y
U
7
3
2
x
384
132
6186
x
8
b) Explain controllability and observability of the system.
5
OR
12. a) Explain phase Lead-Lag compensation.
5
b) Construct the state model for the system given by the differential eqn.
y6dt
dy11
dt
yd6
dt
yd
2
2
3
3
give block diagram representation of the state model.
8
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NapurStudents.Org
KNT/KW/16/7396 1 P.T.O
B.E. Sixth Semester (Mechanical Engineering) (C.B.S.) Control System Engineering
P. Pages : 4 KNT/KW/16/7396
Time : Three Hours Max. Marks : 80
_____________________________________________________________________
Notes : 1. All questions carry marks as indicated.
2. Solve Question 1 OR Questions No. 2.
3. Solve Question 3 OR Questions No. 4.
4. Solve Question 5 OR Questions No. 6.
5. Solve Question 7 OR Questions No. 8.
6. Solve Question 9 OR Questions No. 10.
7. Solve Question 11 OR Questions No. 12.
8. Due credit will be given to neatness and adequate dimensions.
9. Assume suitable data whenever necessary.
10. Diagrams and chemical equations should be given whenever necessary.
11. Illustrate your answers whenever necessary with the help of neat sketches.
12. Use of non programmable calculator is permitted.
1. a) Find T. F.
)s(Y
)s(Y
1
2
M1
M2
K1K2
B2
B1
K3B3 K4
y2
y1
Fig. 1 (a)
7
b) Find T. F.
)s(E
)s(E
i
o
C1
R1
C2
R2
+
–
+
–
ei (t)eo (t)
R3
Fig. 1 (b)
R4
OR
7
*0125* NagpurStudents.Org
KNT/KW/16/7396 2
2. a) Explain open loop and close loop control system with advantages and disadvantages.
6
b) Find T. F.
)s(E
)s(X
i
R L
C
K1K2
B
M x(t)
I1(t) I2(t)
Fig. 2 (b)
ei(t)
8
3. a) Find
)s(R
)s(C by using Block Reduction Technique.
G1 G2 G4
G3
H2H1
–––
R(s) C(s)
Fig. 3 (a)
6
b) Convert the given algebric equations into signal flow graph and find its transfer function.
37264
3522143
33112
YGYGY
YGYGYGY
YGYGY
Where Y4 is output and Y1 is input.
OR
7
4. a) Obtain
)s(R
)s(C using block reduction technique.
G1 G2
R(s)
–G3
H1H2H3
– –
C(s)
Fig. 4 (a)
6
NagpurStudents.Org
KNT/KW/16/7396 3 P.T.O
b) Convert the given block diagram into SFG & find T. F.
G1 G2
R(S) C(S)
–
+
–
H2
H1
Fig. 4 (b)
7
5. a) Derive the transfer function of field controlled DC motor.
7
b) Derive an expression for unit ramp response of first order system.
OR
7
6. a) Find response of a given system for time of 0.5 sec when OLTF is G(s) H(s) =
)8s(s
36
with step input of 2.5 units. Also find maximum output; peak time; rise time; settling time.
7
b) A system is described as –
x100y49dt
dy10
dt
yd
2
2
Find response, maximum output and all time domain specifications for a step input of 2.85
units.
7
7. a) Explain PID controller with its applications.
5
b) For unity feedback system –
)s25.01)(s4.01(s
K)s(G
Find Range of value of K, Kmas and frequency of sustained oscillation. Also check the
stability of the system.
OR
8
8. For a control system having
)5s4s(
)1s(K)s(G
2
and feedback H(s) = 1/s. Sketch the root
locus when the gain K varies upto .
13
9. Draw bode plot for following function
)20s)(2s(s
80)s(H)s(G
Find gain margin and phase margin for the stability of given system.
OR
14
NagpurStudents.Org
KNT/KW/16/7396 4
10. a) Determine T. F. of the system as shown in fig.
1 10 100
40db - 20db/dec
- 40db/dec
- 60db/dec
- 40db/dec
7
b) Draw polar plot & find GM and PM
)8s)(4s(s
40)s(H)s(G
7
11. a) Explain the term controllability and observability.
6
b) Give the state space representation for the system whose T. F. is given by –
1s5.2s5.1s
2
)s(U
)s(Y
34
OR
7
12. a) Find T. F. of the system. Check whether the system is observable and controllable or not
1
0
0
x
x
x
6116
100
010
x
x
x
3
2
1
3
2
1
3
2
1
x
x
x
001Y
8
b) Explain lag-lead compensation and pole-zero placement in detail.
5
********
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Scanned by CamScanner
NagpurStudents.Org
Special Thanks to Abhijith Alolickal
Scanned by CamScanner
NagpurStudents.Org
Special Thanks to Abhijith Alolickal
Scanned by CamScanner
NagpurStudents.Org
Special Thanks to Abhijith Alolickal
NJR/KS/18/4535 1 P.T.O
B.E. (Mechanical Engineering) Sixth Semester (C.B.S.) Control System Engineering
P. Pages : 4 NJR/KS/18/4535
Time : Three Hours Max. Marks : 80
_____________________________________________________________________
Notes : 1. All questions carry marks as indicated.
2. Solve Question 1 OR Questions No. 2.
3. Solve Question 3 OR Questions No. 4.
4. Solve Question 5 OR Questions No. 6.
5. Solve Question 7 OR Questions No. 8.
6. Solve Question 9 OR Questions No. 10.
7. Solve Question 11 OR Questions No. 12.
8. Assume suitable data whenever necessary.
9. Illustrate your answers whenever necessary with the help of neat sketches.
10. Simple Graph paper, Semilog paper and Polar Graph Paper.
1. a)
7
( )
( )2x s
FindF s
b) Find the transfer function
( )
( )0V s
Vi t
7
OR
2. a) Explain the servo-mechanism. Give its advantages, disadvantages & applications.
7
b) What is control system. Give the classification of control systems.
7
*0784*
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NJR/KS/18/4535 2
3. a) Find
( )
( )
C s
R s for the given block diagram.
7
b) Obtain the transfer function
( )
( )
C s
R s from the following signal flow graph.
6
OR
4. a) Obtain the expression for 1 2C &C for the given multiple input & multiple output system.
7
b) Convert the following equations into the signal flow graph & find out its transfer function.
2 1 1 3 3
3 4 1 2 2 5 3
4 6 2 7 3
Y G Y G Y
Y G Y G Y G Y
Y G Y G Y
= +
= + +
= +
6
5. a) Derive the expression for the first order system with unit ramp input.
7
NagpurStudents.Org
NJR/KS/18/4535 3 P.T.O
b) For unity Feedback system having open loop transfer function
( )( )( )
18G(s) find
s s 6 s 2 s 5=
+ + +
i) Type of system ii) Error coefficients
iii) Steady state error when input to the system is ( ) 262
r t 10 5t t= + + .
OR
6
6. a) A second order system is given by
( )
( ) 2
C s 25,
R s s 6s 25=
+ + find out it's transient response
specifications & also calculate expression for its out put response.
8
b) Explain PID controller with its applications.
5
7. a) Using routh's array criterion. Find value of k.
( )( )
( )( )2
k s 1GH s
s s 1 s 3s 26
+=
+ + +
7
b) Explain the concept of stability. Define stable, unstable & marginally stable system.
6
OR
8. ( )
( )
( )( )2
k s 1G(s) H s
s s 1 s 5s 25
+=
− + +
Sketch the complete root locus with approximate indication of break away points.
13
9. Draw Bode plot for system has ( ) ( )
( )( )( )
kG s H s
s s 1 1 0.1s 1 0.01s=
+ + +
determine the value of k, so that,
i) G.M. = + 10 db ii) P.M. = + 25º.
14
OR
10. a) Find out the transfer function of the given system. 7
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NJR/KS/18/4535 4
b) Draw the polar plot for a given system
( ) ( )( )( )
10G s H s
s s 1 s 2=
+ +
Find out it's gain margin in db.
7
11. a) Explain the term controllability & observability.
6
b) Calculate the transfer function of given system having state space model
11
22
1
2
X2 3 3XV
X4 2 5X
Xy 1 1
X
− − = +
=
OR
7
12. a) Find out the controllability & observability of the system whose matrix is given by
1 0 1 0
A 2 3 0 B 2 C 1 0 0
0 2 3 0
= − − = = − −
8
b) Explain lag-lead compensation.
5
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NagpurStudents.Org