Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 4th Sem New 2140307 Control System And Analysis Previous Question Paper
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV (NEW) EXAMINATION ? WINTER 2018
Subject Code:2140307 Date:14/12/2018
Subject Name:Control System and Analysis
Time: 02:30 PM TO 05:00 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) Write applications of control system. 03
(b) Write properties of Transfer Functions. 04
(c) Explain different types of Control system with examples. 07
Q.2 (a) Describe Linear Time Invariant system with example. 03
(b) The impulse response of a system is ?? ?4?? . Find the transfer function. 04
(c) Obtain the transfer function of the lead network shown in Fig.1. 07
OR
(c) Write differential equation for mechanical system as shown in Fig.2. Find
F-I & F-V analogous circuits.
07
Q.3 (a) Write properties of Signal Flow Graph. 03
(b) Describe Torque to voltage and Torque to current analogy. 04
(c) Using Block diagram Reduction technique find the transfer function for
each input to the output C for the system shown in Fig.3.
07
OR
Q.3 (a) Explain Mason's gain formula. 03
(b) Describe Electrical-Thermal analogy. 04
(c) Find the transfer function C(s)/ R(s) for the signal flow graph in Fig. 4. 07
Q.4 (a) Explain Transient and Steady state Response of system. 03
(b) Find Unit Step response of First order system. 04
(c) Derive Steady state error of type 0,1, 2 closed loop control system for unit
step, ramp, and parabolic input signal.
07
OR
Q.4 (a) Define Underdamped, Overdamped and Critically damped system. 03
(b)
For the system, ?? (?? ) =
?? (1+2?? )
?? (1+?? )(1+0.4?? 2
)
. Find value of k to limit the steady
state error to 10% for an input t.
04
(c) The response of a control system after applying unit step input is, c(t) =1+
e
-40t
- 2e
-20t
. Determine time domain specifications.
07
Q.5 (a) Write needs of Frequency Domain Analysis for Control system. 03
(b) Determine the stability of S
5
+S
4
+2S
3
+2S
2
+3S+5=0. 04
(c) Sketch the root locus of a unity feedback control system with ?? (?? ) =
?? ?? (?? +1)(?? +3)
and determine the value of k for marginal stability.
07
OR
Q.5 (a) Define State Variables, State Vectors and State Space. 03
(b)
Draw polar plot of ?? (?? )?? (?? ) =
100
(?? +2)(?? +4)(?? +8)
.
04
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV (NEW) EXAMINATION ? WINTER 2018
Subject Code:2140307 Date:14/12/2018
Subject Name:Control System and Analysis
Time: 02:30 PM TO 05:00 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) Write applications of control system. 03
(b) Write properties of Transfer Functions. 04
(c) Explain different types of Control system with examples. 07
Q.2 (a) Describe Linear Time Invariant system with example. 03
(b) The impulse response of a system is ?? ?4?? . Find the transfer function. 04
(c) Obtain the transfer function of the lead network shown in Fig.1. 07
OR
(c) Write differential equation for mechanical system as shown in Fig.2. Find
F-I & F-V analogous circuits.
07
Q.3 (a) Write properties of Signal Flow Graph. 03
(b) Describe Torque to voltage and Torque to current analogy. 04
(c) Using Block diagram Reduction technique find the transfer function for
each input to the output C for the system shown in Fig.3.
07
OR
Q.3 (a) Explain Mason's gain formula. 03
(b) Describe Electrical-Thermal analogy. 04
(c) Find the transfer function C(s)/ R(s) for the signal flow graph in Fig. 4. 07
Q.4 (a) Explain Transient and Steady state Response of system. 03
(b) Find Unit Step response of First order system. 04
(c) Derive Steady state error of type 0,1, 2 closed loop control system for unit
step, ramp, and parabolic input signal.
07
OR
Q.4 (a) Define Underdamped, Overdamped and Critically damped system. 03
(b)
For the system, ?? (?? ) =
?? (1+2?? )
?? (1+?? )(1+0.4?? 2
)
. Find value of k to limit the steady
state error to 10% for an input t.
04
(c) The response of a control system after applying unit step input is, c(t) =1+
e
-40t
- 2e
-20t
. Determine time domain specifications.
07
Q.5 (a) Write needs of Frequency Domain Analysis for Control system. 03
(b) Determine the stability of S
5
+S
4
+2S
3
+2S
2
+3S+5=0. 04
(c) Sketch the root locus of a unity feedback control system with ?? (?? ) =
?? ?? (?? +1)(?? +3)
and determine the value of k for marginal stability.
07
OR
Q.5 (a) Define State Variables, State Vectors and State Space. 03
(b)
Draw polar plot of ?? (?? )?? (?? ) =
100
(?? +2)(?? +4)(?? +8)
.
04
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2
(c) For the system having the open loop transfer function ?? (?? )?? (?? ) =
10
?? (?? +2)(?? +5)
. Determine the stability of the system by plotting the bode plot
of the system.
07
***********
Fig.1
Fig.2
Fig.3
Fig.4
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This post was last modified on 20 February 2020