Download GTU BE/B.Tech 2019 Winter 4th Sem New 2141708 Control System Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 4th Sem New 2141708 Control System Previous Question Paper

1
Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ? IV (New) EXAMINATION ? WINTER 2019
Subject Code: 2141708 Date: 10/12/2019

Subject Name: Control System

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.



Q.1 (a) Introduce stability of the systems. 03
(b) Give details about type and order of the system. 04
(c) Explain mathematical modeling of armature controlled DC servomotors. 07

Q.2 (a) Explain importance of Eigen values. 03
(b) Write benefits of closed loop system over open loop system. 04
(c) Mention difference between transfer function approach and state space
approach.
07
OR
(c) With suitable example explain modeling in state space. 07
Q.3 (a) Discuss about frequency response analysis using polar plot. 03
(b)
Determine the stability using Routh Criterion.
? ? ? ? ?
4 3 2
5 20 50 40 0 s s s s
04
(c) Draw second order unit step response and explain associated
specification terms.
07
OR
Q.3 (a) Give difference between transient and steady state response with
suitable example.
03
(b) Define following terms:
i. Rise time
ii. Settling time
iii. Distributed parameter system
iv. Time variant control system
04
(c) Find the transfer function and develop F ? V analogy for system shown in
figure. Write necessary equations.


07
Q.4 (a) Discuss application of Nichol chart. 03
(b) Sketch root locus for following open loop transfer function
()
( 4)
k
Gs
ss
?
?



04
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1
Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ? IV (New) EXAMINATION ? WINTER 2019
Subject Code: 2141708 Date: 10/12/2019

Subject Name: Control System

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.



Q.1 (a) Introduce stability of the systems. 03
(b) Give details about type and order of the system. 04
(c) Explain mathematical modeling of armature controlled DC servomotors. 07

Q.2 (a) Explain importance of Eigen values. 03
(b) Write benefits of closed loop system over open loop system. 04
(c) Mention difference between transfer function approach and state space
approach.
07
OR
(c) With suitable example explain modeling in state space. 07
Q.3 (a) Discuss about frequency response analysis using polar plot. 03
(b)
Determine the stability using Routh Criterion.
? ? ? ? ?
4 3 2
5 20 50 40 0 s s s s
04
(c) Draw second order unit step response and explain associated
specification terms.
07
OR
Q.3 (a) Give difference between transient and steady state response with
suitable example.
03
(b) Define following terms:
i. Rise time
ii. Settling time
iii. Distributed parameter system
iv. Time variant control system
04
(c) Find the transfer function and develop F ? V analogy for system shown in
figure. Write necessary equations.


07
Q.4 (a) Discuss application of Nichol chart. 03
(b) Sketch root locus for following open loop transfer function
()
( 4)
k
Gs
ss
?
?



04
2
(c) Draw Bode plot for following transfer function
10( 10)
( ) ( )
( 2)( 30)
s
G s H s
s s s
?
?
??


07
OR
Q.4 (a) Briefly write about constant M, N circles. 03
(b)
Apply Nyquist stability criterion for the stability analysis of the following unity
feedback system.
) 1 )( 1 (
3
) ( ) (
? ?
?
?
s s
s
s H s G

04
(c) Draw root locus for following transfer function
2
( ) ( )
( 1)
k
G s H s
ss
?
?

07
Q.5 (a) Give importance of gain margin and phase margin in frequency response
analysis.
03
(b)
Find transfer function of following system using block diagram reduction
method.


04
(c)
Using mason gain formula find transfer function for system shown in figure


07
OR

Q.5 (a) Define and introduce state transition matrix. 03
(b) Write about linear versus nonlinear systems. 04
(c) What is steady state error? Derive value of steady state error for type 2
system with ramp input.
07

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