Download GTU BE/B.Tech 2019 Summer 4th Sem New 2141004 Control System Engineering Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 4th Sem New 2141004 Control System Engineering Previous Question Paper

1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2141004 Date:17/05/2019
Subject Name: Control System Engineering
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.

Q.1 (a) Define the following test signals.
1. Unit Impulse
2. Unit Step
3. Unit Ramp
03
(b) Discuss the effect of adding a pole to a closed loop transfer function. 04
(c) Derive the expression of a second order control system subjected to unit
step signal.
07
Q.2 (a) Discuss the effect of feedback on system gain and stability. 03
(b) Define the following terms with respect to a second order system
subjected to unit step signal.
1. Delay time
2. Rise time
3. Peak time
4. Settling time
04
(c) Derive the expressions for error constants Kp , Kv and Ka corresponding
to step, ramp and parabolic input respectively
07
OR
(c) Discuss open loop control systems and closed loop control systems with
suitable examples.
07
Q.3 (a) 1. A system having repeated roots on imaginary axis is ___________.
(A) Stable (B) Unstable (C) Marginally stable (D) Conditionally stable
2. A system has its two poles on the negative real axis and one pair of
poles lies on j? axis. The system is ___________.
(A) Stable (B) Unstable (C) Marginally stable (D) Either A or C
3. Define order of a control system.
03
(b) Discuss force voltage (F-V) analogous system with analogous quantity. 04
(c) Find the transfer function for the system shown in figure 1.

Figure 1
07
OR
Q.3 (a) 1. State the necessary and sufficient condition for system stability.
2. Define type of a control system.
3. Define steady state error.
03
(b) Discuss force current (F-I) analogous system with analogous quantity. 04
(c) Obtain the transfer function for the signal flow graph shown in figure 2. 07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2141004 Date:17/05/2019
Subject Name: Control System Engineering
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.

Q.1 (a) Define the following test signals.
1. Unit Impulse
2. Unit Step
3. Unit Ramp
03
(b) Discuss the effect of adding a pole to a closed loop transfer function. 04
(c) Derive the expression of a second order control system subjected to unit
step signal.
07
Q.2 (a) Discuss the effect of feedback on system gain and stability. 03
(b) Define the following terms with respect to a second order system
subjected to unit step signal.
1. Delay time
2. Rise time
3. Peak time
4. Settling time
04
(c) Derive the expressions for error constants Kp , Kv and Ka corresponding
to step, ramp and parabolic input respectively
07
OR
(c) Discuss open loop control systems and closed loop control systems with
suitable examples.
07
Q.3 (a) 1. A system having repeated roots on imaginary axis is ___________.
(A) Stable (B) Unstable (C) Marginally stable (D) Conditionally stable
2. A system has its two poles on the negative real axis and one pair of
poles lies on j? axis. The system is ___________.
(A) Stable (B) Unstable (C) Marginally stable (D) Either A or C
3. Define order of a control system.
03
(b) Discuss force voltage (F-V) analogous system with analogous quantity. 04
(c) Find the transfer function for the system shown in figure 1.

Figure 1
07
OR
Q.3 (a) 1. State the necessary and sufficient condition for system stability.
2. Define type of a control system.
3. Define steady state error.
03
(b) Discuss force current (F-I) analogous system with analogous quantity. 04
(c) Obtain the transfer function for the signal flow graph shown in figure 2. 07
2

Figure 2
Q.4 (a) Discuss Hurwitz?s stability criteria. 03
(b) Examine the stability of the system using Routh's method.
s
5
+2s
4
+3s
3
+6s
2
+2s+1=0
04
(c) Sketch the root locus for the system having
2
( 5)
( ) ( )
( 4 20)
ks
G s H s
ss
?
?
??

07
OR
Q.4 (a) State advantages and limitations of Routh?s stability criterion. 03
(b) For the unity feedback system
()
(1 0.4 )(1 0.25 )
k
Gs
s s s
?
??

find the marginal value of k.
04
(c) For the system shown in figure 3, show that the system is always
overdamped , independent of the selection of R and C.

Figure 3
07
Q.5 (a) Discuss Nyquist criteria for stability. 03
(b) Define the following terms
1. Gain cross over frequency
2. Phase cross over frequency
3. Gain Margin
4. Phase Margin
04
(c) Explain the nature of Bode plot for
1. Poles at the origin
2. Zeros at the origin
07
OR

Q.5 (a) Discuss briefly PID controller. 03
(b) Compare time response and frequency response of system. 04
(c) Derive correlation between transfer function and state-space equations. 07

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