Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 5th Sem New 2150909 Control System Engineering Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? V (New) EXAMINATION ? WINTER 2019
Subject Code: 2150909 Date: 25/11/2019
Subject Name: Control System Engineering
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) With a suitable example explain automatic control system 03
(b) What is laplace transform ? Explain the advantages of laplace transform. 04
(c) Find out the transfer function for the block diagram shown in the Fig. 1 07
Q.2 (a) With suitable example, Explain self loop, sink node and forward path 03
(b) Derive steady state error for a type 1 system with parabolic input. 04
(c) For the mechanical system shown in Fig 2 write down F-I analogy and
draw equivalent electric network
07
OR
(c) For the mechanical system shown in Fig 3 write down F-V analogy and
draw equivalent electric network
07
Q.3 (a) Define: State variable, state vector and state space 03
(b) Assuming zero initial conditions derive the transfer function for the
system described by the standard state variable model.
04
(c) Obtain the state model of series RLC circuit, considering voltage across
capacitor as the output.
07
OR
Q.3 (a) Write down the standard form of state variable model and mention the size
of each matrix in the model for a system having n number of states, m
number of inputs and p number of outputs
03
(b) Write down state model of the system described by following differential
equation
32
32
2 4 6
8 10 ( )
y y y
d d d
y u t
dt dt dt
? ? ?
?
04
(c) Find transfer function of the system described by following state model
? ?
.
1 1 1
.
2 2 2
5 1 2
( ); 1 2
3 1 5
x x x
r t y
x x x
? ? ? ? ? ?
?? ? ? ? ?
? ? ? ? ? ?
? ? ?
? ? ? ?
? ? ? ? ? ?
?
? ? ? ?
? ? ? ? ? ?
07
Q.4 (a) Draw only the magnitude plot of the bode plot for
1
( ) ( ) (1 )
s
G s H s
z
??
03
(b) Using routh?s criterion check stability of a unity gain feedback system
with
3
()
( 1)( 2)
Gs
S S S
?
??
04
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? V (New) EXAMINATION ? WINTER 2019
Subject Code: 2150909 Date: 25/11/2019
Subject Name: Control System Engineering
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) With a suitable example explain automatic control system 03
(b) What is laplace transform ? Explain the advantages of laplace transform. 04
(c) Find out the transfer function for the block diagram shown in the Fig. 1 07
Q.2 (a) With suitable example, Explain self loop, sink node and forward path 03
(b) Derive steady state error for a type 1 system with parabolic input. 04
(c) For the mechanical system shown in Fig 2 write down F-I analogy and
draw equivalent electric network
07
OR
(c) For the mechanical system shown in Fig 3 write down F-V analogy and
draw equivalent electric network
07
Q.3 (a) Define: State variable, state vector and state space 03
(b) Assuming zero initial conditions derive the transfer function for the
system described by the standard state variable model.
04
(c) Obtain the state model of series RLC circuit, considering voltage across
capacitor as the output.
07
OR
Q.3 (a) Write down the standard form of state variable model and mention the size
of each matrix in the model for a system having n number of states, m
number of inputs and p number of outputs
03
(b) Write down state model of the system described by following differential
equation
32
32
2 4 6
8 10 ( )
y y y
d d d
y u t
dt dt dt
? ? ?
?
04
(c) Find transfer function of the system described by following state model
? ?
.
1 1 1
.
2 2 2
5 1 2
( ); 1 2
3 1 5
x x x
r t y
x x x
? ? ? ? ? ?
?? ? ? ? ?
? ? ? ? ? ?
? ? ?
? ? ? ?
? ? ? ? ? ?
?
? ? ? ?
? ? ? ? ? ?
07
Q.4 (a) Draw only the magnitude plot of the bode plot for
1
( ) ( ) (1 )
s
G s H s
z
??
03
(b) Using routh?s criterion check stability of a unity gain feedback system
with
3
()
( 1)( 2)
Gs
S S S
?
??
04
2
(c) Draw the root locus plot for
( ) ( )
( 2)
k
G s H s
SS
?
?
07
OR
Q.4 (a) Draw only the magnitude plot of the bode plot for
1
1
( ) ( )
(1 )
G s H s
s
p
?
?
03
(b) Using routh?s criterion check stability of a unity gain feedback system
with
1
()
( 2)( 4)
Gs
SS
?
??
04
(c) Draw the root locus plot for
( ) ( )
( 5)( 10)
k
G s H s
S S S
?
??
07
Q.5 (a) List at least three advantages and three disadvantages of a lead
compensator
03
(b) Draw and explain the pole zero plot and bode plot of a lead compensator. 04
(c) Explain in detail the steps to design a lead compensator 07
OR
Q.5 (a) List at least three advantages and three disadvantages of a lag compensator 03
(b) Draw and explain the pole zero plot and bode plot of a lag compensator. 04
(c) Explain in detain the steps to design a lag compensator 07
FirstRanker.com - FirstRanker's Choice
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? V (New) EXAMINATION ? WINTER 2019
Subject Code: 2150909 Date: 25/11/2019
Subject Name: Control System Engineering
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) With a suitable example explain automatic control system 03
(b) What is laplace transform ? Explain the advantages of laplace transform. 04
(c) Find out the transfer function for the block diagram shown in the Fig. 1 07
Q.2 (a) With suitable example, Explain self loop, sink node and forward path 03
(b) Derive steady state error for a type 1 system with parabolic input. 04
(c) For the mechanical system shown in Fig 2 write down F-I analogy and
draw equivalent electric network
07
OR
(c) For the mechanical system shown in Fig 3 write down F-V analogy and
draw equivalent electric network
07
Q.3 (a) Define: State variable, state vector and state space 03
(b) Assuming zero initial conditions derive the transfer function for the
system described by the standard state variable model.
04
(c) Obtain the state model of series RLC circuit, considering voltage across
capacitor as the output.
07
OR
Q.3 (a) Write down the standard form of state variable model and mention the size
of each matrix in the model for a system having n number of states, m
number of inputs and p number of outputs
03
(b) Write down state model of the system described by following differential
equation
32
32
2 4 6
8 10 ( )
y y y
d d d
y u t
dt dt dt
? ? ?
?
04
(c) Find transfer function of the system described by following state model
? ?
.
1 1 1
.
2 2 2
5 1 2
( ); 1 2
3 1 5
x x x
r t y
x x x
? ? ? ? ? ?
?? ? ? ? ?
? ? ? ? ? ?
? ? ?
? ? ? ?
? ? ? ? ? ?
?
? ? ? ?
? ? ? ? ? ?
07
Q.4 (a) Draw only the magnitude plot of the bode plot for
1
( ) ( ) (1 )
s
G s H s
z
??
03
(b) Using routh?s criterion check stability of a unity gain feedback system
with
3
()
( 1)( 2)
Gs
S S S
?
??
04
2
(c) Draw the root locus plot for
( ) ( )
( 2)
k
G s H s
SS
?
?
07
OR
Q.4 (a) Draw only the magnitude plot of the bode plot for
1
1
( ) ( )
(1 )
G s H s
s
p
?
?
03
(b) Using routh?s criterion check stability of a unity gain feedback system
with
1
()
( 2)( 4)
Gs
SS
?
??
04
(c) Draw the root locus plot for
( ) ( )
( 5)( 10)
k
G s H s
S S S
?
??
07
Q.5 (a) List at least three advantages and three disadvantages of a lead
compensator
03
(b) Draw and explain the pole zero plot and bode plot of a lead compensator. 04
(c) Explain in detail the steps to design a lead compensator 07
OR
Q.5 (a) List at least three advantages and three disadvantages of a lag compensator 03
(b) Draw and explain the pole zero plot and bode plot of a lag compensator. 04
(c) Explain in detain the steps to design a lag compensator 07
3
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This post was last modified on 20 February 2020