Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 4th Sem New 2140307 Control System And Analysis Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV (New) EXAMINATION ? WINTER 2019
Subject Code: 2140307 Date: 17/12/2019
Subject Name: Control System and Analysis
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) Give difference between close loop & open loop control system with example. 03
(b) Find the transfer function of below given system.
04
(c) Obtain the inverse Laplace transform for below given F(s).
?? (?? ) =
(?? ? 2)
?? (?? + 1)
3
07
Q.2 (a) Calculate the transfer function of below given system using block diagram reduction.
03
(b) Calculate the roots and draw the pole-zero plot of the system given in Q-2 (a). 04
(c) Draw the signal flow graph and find the transfer function of below given circuit
network using mason?s gain formula.
07
OR
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV (New) EXAMINATION ? WINTER 2019
Subject Code: 2140307 Date: 17/12/2019
Subject Name: Control System and Analysis
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) Give difference between close loop & open loop control system with example. 03
(b) Find the transfer function of below given system.
04
(c) Obtain the inverse Laplace transform for below given F(s).
?? (?? ) =
(?? ? 2)
?? (?? + 1)
3
07
Q.2 (a) Calculate the transfer function of below given system using block diagram reduction.
03
(b) Calculate the roots and draw the pole-zero plot of the system given in Q-2 (a). 04
(c) Draw the signal flow graph and find the transfer function of below given circuit
network using mason?s gain formula.
07
OR
2
(c) Find the transfer function of below given control system using block diagram
reduction technique.
07
Q.3 (a) Define below given terminologies with proper equations.
i. Rise Time(tr)
ii. Peak Time(tp)
iii. Peak Overshoot (Mp)
03
(b)
For a unity feedback system ?? (?? ) =
36
?? (?? +0.72)
. Determine the values of natural
frequency, damping ratio, peak time, settling time, and peak overshoot for a unit
step input.
04
(c) Draw the equivalent mechanical system & analogous systems based on F-V & F-I
methods for below given system.
07
OR
Q.3 (a) Determine the position, velocity & acceleration error constants and steady state error
of the system given below.
?? (?? ) =
1000
?? (?? + 10)(?? + 100)
, ?? (?? ) =
20
??
03
(b)
A negative feedback system has a forward path transfer function ?? (?? ) =
?? ?? (?? +1)
and
feedback path transfer function ?? (?? ) = (1 + ???? ). If this system is to have a peak
time of 0.5 sec and a 10% overshoot for a unit step input, determine values of K &
a.
04
(c) Consider the unity feedback control system whose open loop transfer function is
?? (?? ) =
50
?? (1+0.1?? )
. Determine the steady state error and its variation with time
when the input is ?? (?? ) = 1 + ?? + ?? 2
.
07
Q.4 (a) Comment on the stability of the system represented by below given characteristic
equation.
s
5
+ s
4
+ 2s
3
+ 2s
2
+ 3s + 15 = 0
03
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV (New) EXAMINATION ? WINTER 2019
Subject Code: 2140307 Date: 17/12/2019
Subject Name: Control System and Analysis
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) Give difference between close loop & open loop control system with example. 03
(b) Find the transfer function of below given system.
04
(c) Obtain the inverse Laplace transform for below given F(s).
?? (?? ) =
(?? ? 2)
?? (?? + 1)
3
07
Q.2 (a) Calculate the transfer function of below given system using block diagram reduction.
03
(b) Calculate the roots and draw the pole-zero plot of the system given in Q-2 (a). 04
(c) Draw the signal flow graph and find the transfer function of below given circuit
network using mason?s gain formula.
07
OR
2
(c) Find the transfer function of below given control system using block diagram
reduction technique.
07
Q.3 (a) Define below given terminologies with proper equations.
i. Rise Time(tr)
ii. Peak Time(tp)
iii. Peak Overshoot (Mp)
03
(b)
For a unity feedback system ?? (?? ) =
36
?? (?? +0.72)
. Determine the values of natural
frequency, damping ratio, peak time, settling time, and peak overshoot for a unit
step input.
04
(c) Draw the equivalent mechanical system & analogous systems based on F-V & F-I
methods for below given system.
07
OR
Q.3 (a) Determine the position, velocity & acceleration error constants and steady state error
of the system given below.
?? (?? ) =
1000
?? (?? + 10)(?? + 100)
, ?? (?? ) =
20
??
03
(b)
A negative feedback system has a forward path transfer function ?? (?? ) =
?? ?? (?? +1)
and
feedback path transfer function ?? (?? ) = (1 + ???? ). If this system is to have a peak
time of 0.5 sec and a 10% overshoot for a unit step input, determine values of K &
a.
04
(c) Consider the unity feedback control system whose open loop transfer function is
?? (?? ) =
50
?? (1+0.1?? )
. Determine the steady state error and its variation with time
when the input is ?? (?? ) = 1 + ?? + ?? 2
.
07
Q.4 (a) Comment on the stability of the system represented by below given characteristic
equation.
s
5
+ s
4
+ 2s
3
+ 2s
2
+ 3s + 15 = 0
03
3
(b) Draw the response for Under damped, Critically damped & Over damped systems
with necessary equations.
04
(c) Draw the root locus of the system given below. Find the values of valid break-away-
point, interaction with imaginary axis and the range of K for which the system will
be stable.
07
OR
Q.4 (a) Enlist the demerits of Hurwitz method. 03
(b) Find the value of K1 and K2 so as to obtain peak time = 2 sec, and settling time=5 sec.
04
(c) Draw the root locus of the system given below. Find the values of valid break-away-
point, interaction with imaginary axis and the range of K for which the system will
be stable.
?? (?? )?? (?? ) =
?? (?? + 0.1)
?? (?? ? 0.2)(?? 2
+ ?? + 0.6)
07
Q.5 (a) Enlist advantages of Nyquist plot. 03
(b) Find the angle of departure for complex roots of system ?? (?? )?? (?? ) =
?? (?? +4)
?? (?? 2
+2?? +2)
.
04
(c) To identify system stability conditions using bode plot technique by determine the
values of ?
gc
, ?
pc
, GM and PM.
?? (?? )?? (?? ) =
80?? 2
(2?? + 1)(?? + 1)(0.2?? + 1)
07
OR
Q.5 (a) Find the transfer function of the system from the magnitude plot given below.
03
(b) Identify whether points s = -1.5 ? j1.8371 are on the root locus of the system
?? (?? )?? (?? ) =
?? ?? (?? + 3)(?? 2
+ 3?? + 11.25)
04
(c) Draw the Nyquist diagram of below given control system. Find GM and stability
from Nyquist plot.
?? (?? )?? (?? ) =
40
(?? + 4)(?? 2
+ 2?? + 2)
07
*************
K
s(s
2
+ 4s + 5)
+
-
R(s) C(s)
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This post was last modified on 20 February 2020