Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 3rd Sem New 3130905 Control System Theory Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 3130905 Date: 3/12/2019
Subject Name: Control System Theory
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) Define the following terms.
(1) Control system(2) Plants (3) Process
03
(b)
Explain transfer function and State advantages and Dis-advantages of
transfer function.
04
(c)
Solve the block diagram to find transfer function of the system shown in
figure.
07
Q.2 (a) Explain Steady state Error. 03
(b) Compare Open loop Vs close loop control systems 04
(c) The characteristic equation of feedback control system is given by
s
4
+20s
3
+15s
2
+2s+K=0
1) Calculate the range of K for the system to be stable.
2) Can the system be marginally stable? If so, find the required
value of k and frequency of sustained oscillation.
07
OR
(c) Write Nyquist contour and Nyquist stability criterion in brief. 07
Q.3 (a) Calculate damping ratio and Undamped natural frequency of
oscillation for the open loop transfer function of a servo system with
unity feedback system: ?? (?? ) =
10
(?? +2)(?? +5)
03
(b) Explain Standard Test Signals used in control system 04
(c) Construct the root loci of open loop transfer function of the feedback
control system given as ?? (?? )?? (?? ) =
?? (?? +3)
?? (?? +2)
07
OR
Q.3 (a) Simplify the significance of proportional control. 03
(b) Define following terms with respect to second order system.
1) Delay Time
2) Rise Time
3) Peak Time
4) Steady state error
04
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Page 1 of 2
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? III (New) EXAMINATION ? WINTER 2019
Subject Code: 3130905 Date: 3/12/2019
Subject Name: Control System Theory
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) Define the following terms.
(1) Control system(2) Plants (3) Process
03
(b)
Explain transfer function and State advantages and Dis-advantages of
transfer function.
04
(c)
Solve the block diagram to find transfer function of the system shown in
figure.
07
Q.2 (a) Explain Steady state Error. 03
(b) Compare Open loop Vs close loop control systems 04
(c) The characteristic equation of feedback control system is given by
s
4
+20s
3
+15s
2
+2s+K=0
1) Calculate the range of K for the system to be stable.
2) Can the system be marginally stable? If so, find the required
value of k and frequency of sustained oscillation.
07
OR
(c) Write Nyquist contour and Nyquist stability criterion in brief. 07
Q.3 (a) Calculate damping ratio and Undamped natural frequency of
oscillation for the open loop transfer function of a servo system with
unity feedback system: ?? (?? ) =
10
(?? +2)(?? +5)
03
(b) Explain Standard Test Signals used in control system 04
(c) Construct the root loci of open loop transfer function of the feedback
control system given as ?? (?? )?? (?? ) =
?? (?? +3)
?? (?? +2)
07
OR
Q.3 (a) Simplify the significance of proportional control. 03
(b) Define following terms with respect to second order system.
1) Delay Time
2) Rise Time
3) Peak Time
4) Steady state error
04
Page 2 of 2
(c) Consider a lag-lead network defined by
???? (?? ) = ?? (?? +
1
?? 1
)(?? +
1
?? 2
)
(?? +
?? ?? 1
)(?? +
1
???? 2
)
Show that at frequency ?? 1
, where ?? 1
=
1
??? 1
?? 2
, the phase angle of
???? (???? ) becomes zero.
07
Q.4 (a) Explain the effect of integral control action on system Performance. 03
(b) Explain relationship between time and frequency response. 04
(c) Explain step by step Procedure for Phase Lag Network. 07
OR
Q.4 (a) Explain the advantages of bode plot. 03
(b) Summarize types of compensation and explain any one. 04
(c) Explain the step by step procedure for obtaining bode plot. 07
Q.5 (a) Explain polar plots with a sketch of a simple example 03
(b) Decide that How stability can be ensured from Routh Table? 04
(c) Distinguish state variable approach verses the classical approach of
transfer function for the analysis of control systems.
07
OR
Q.5 (a) Explain following terms. 1) State variable 2) State trajectory 3) State vector 03
(b) Define and explain following terms with respect to frequency
response.
1) Gain Margin
2) Phase Margin
3) Gain Crossover frequency
4) Phase Crossover frequency
04
(c)
Investigate Controllability and observability of the system
?? (?? ) = [
0 1 0
0 0 1
?6 ?11 ?6
] ?? (?? ) + [
0
0
2
] ?? (?? )
?? (?? ) = [
1 0 0
]?? (?? )
07
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This post was last modified on 20 February 2020