Download GTU BE/B.Tech 2019 Summer 4th Sem New 2140307 Control System And Analysis Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 4th Sem New 2140307 Control System And Analysis Previous Question Paper

1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code: 2140307 Date:28/05/2019
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) What are standard Test Signals and their Significance? 03
(b) Explain Liquid Level - Electrical system Analogy. 04
(c) Explain Open loop and Closed loop control system with examples. 07

Q.2 (a) What is Linear time invariant control system? 03
(b) Derive Unit Step response of First order system. 04
(c) Find system equations and F-I and F-V analogous circuits for mechanical system shown in
Fig.1.

Fig.1.
07
OR
(c) Draw the mechanical network. Write differential equations of performance and also draw
the analogous electrical circuit of the system shown below in Fig.2.

Fig.2.
07
Q.3 (a) What are the essential characteristics of Signal Flow Graphs?

03
(b)
Find the inverse Laplace transform of ?? (?? ) =
(?? +2)
?? (?? +3)(?? +4)

04
(c) Using Block diagram reduction techniques, find the closed loop transfer functions of the
following system shown in Fig.3.

Fig.3.
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code: 2140307 Date:28/05/2019
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) What are standard Test Signals and their Significance? 03
(b) Explain Liquid Level - Electrical system Analogy. 04
(c) Explain Open loop and Closed loop control system with examples. 07

Q.2 (a) What is Linear time invariant control system? 03
(b) Derive Unit Step response of First order system. 04
(c) Find system equations and F-I and F-V analogous circuits for mechanical system shown in
Fig.1.

Fig.1.
07
OR
(c) Draw the mechanical network. Write differential equations of performance and also draw
the analogous electrical circuit of the system shown below in Fig.2.

Fig.2.
07
Q.3 (a) What are the essential characteristics of Signal Flow Graphs?

03
(b)
Find the inverse Laplace transform of ?? (?? ) =
(?? +2)
?? (?? +3)(?? +4)

04
(c) Using Block diagram reduction techniques, find the closed loop transfer functions of the
following system shown in Fig.3.

Fig.3.
07
2
OR
Q.3 (a) Define stability. Describe types of stability for control system. 03
(b) The impulse response of a system is 1 ? ?? ?2?? . Find the transfer function. 04
(c) Find the transfer function C(s)/ R(s) for the signal flow graph shown in Fig. 4.

Fig.4.
07
Q.4 (a) Define: Rise time, Settling time, Delay time. 03
(b)
For a unity feedback system the OLTF is ?? (?? ) =
(?? +1)
?? 2
(?? +2)(?? +3)
. What is the steady state error
if the input r(t) = (2+3t+4t
2
) u(t).
04
(c) The open loop transfer function of a unity feedback control system is given by, ?? (?? ) =
25
?? (?? +5)
. Determine time domain specifications.
07
OR
Q.4 (a) Write advantages and disadvantages of Routh's Stability Criterion? 03
(b) Test the stability of a system whose characteristics equation is, S
3
+5S
2
+6S+30 = 0. 04
(c) The open loop transfer function of a unity feedback control system is given by, ?? (?? ) =
10
(?? +1)(?? +10)
.
a) Find Kp , Kv , Ka
b) Find the steady state error for an input of 5u(t), 5tu(t), 5t
2
u(t).
07
Q.5 (a) What is the effect of addition of poles on Root locus? 03
(b)
?? (?? )?? (?? ) =
1
(?? +1)
. Decide the stability using Nyquist plot.
04
(c)
Sketch the Root locus of a unity feedback control system with ?? (?? ) =
?? ?? (?? +3)(?? +5)
and
determine the value of k for marginal stability.
07
OR

Q.5 (a) Write the State model of n
th
order of system. 03
(b)
Draw polar plot of ?? (?? )?? (?? ) =
1
(?? +3)(?? +8)
.
04
(c) Draw the asymptotic Bode plots for the feedback control system having transfer
function ?? (?? )?? (?? ) =
?? ?? (1+
?? 4
)(1+
?? 40
)
. Determine the value of k for Gain margin = 20dB and
Phase margin 30?.
07

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