Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 4th Sem New 2141708 Control System Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2141708 Date:13/05/2019
Subject Name: Control System
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)
Differentiate between open loop system and closed loop systems.
03
(b)
Define transfer function. Find the impulse response of a system whose
transfer function is G=1/(S+6)
04
(c)
Using block diagram reduction technique, find out overall transfer
function C(s)/R(s) for the diagram shown in fig.1.
Fig. 1
07
Q.2 (a) Write Meason?s gain formula and define each term of the formula. 03
(b) Differentiate between signal flow graph and block diagram
representation of system.
04
(c) The open loop transfer function of a unity feedback system is
?? ( ?? ) ?? ( ?? ) =
?? ( ?? + 13 )
?? ( ?? + 3 ) ( ?? + 7 )
Using Routh?s criterion, calculate the range of k for system to be
stable. If the value of k=1, comment on stability.
07
OR
(c) Derive and draw the unit step response of second order
underdamped system.
07
Q.3 (a) Define the following terms:
(1) Type of a system
(2) BIBO stability
(3) Time constant
03
(b) Briefly explain the first order system and its response to unit step
input.
04
(c) Sketch the root locus plot of a control system whose open loop
transfer function is given by
?? ( ?? ) ?? ( ?? ) =
?? ?? ( ?? + 4 ) ( ?? 2
+ 4 ?? + 8 )
07
OR
Q.3 (a) Explain the concept of linearity and time invariance in the context
of control system.
03
(b) Define following terms:
(1) rise time (2) peak time (3) settling time (4) peak overshoot
04
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2141708 Date:13/05/2019
Subject Name: Control System
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)
Differentiate between open loop system and closed loop systems.
03
(b)
Define transfer function. Find the impulse response of a system whose
transfer function is G=1/(S+6)
04
(c)
Using block diagram reduction technique, find out overall transfer
function C(s)/R(s) for the diagram shown in fig.1.
Fig. 1
07
Q.2 (a) Write Meason?s gain formula and define each term of the formula. 03
(b) Differentiate between signal flow graph and block diagram
representation of system.
04
(c) The open loop transfer function of a unity feedback system is
?? ( ?? ) ?? ( ?? ) =
?? ( ?? + 13 )
?? ( ?? + 3 ) ( ?? + 7 )
Using Routh?s criterion, calculate the range of k for system to be
stable. If the value of k=1, comment on stability.
07
OR
(c) Derive and draw the unit step response of second order
underdamped system.
07
Q.3 (a) Define the following terms:
(1) Type of a system
(2) BIBO stability
(3) Time constant
03
(b) Briefly explain the first order system and its response to unit step
input.
04
(c) Sketch the root locus plot of a control system whose open loop
transfer function is given by
?? ( ?? ) ?? ( ?? ) =
?? ?? ( ?? + 4 ) ( ?? 2
+ 4 ?? + 8 )
07
OR
Q.3 (a) Explain the concept of linearity and time invariance in the context
of control system.
03
(b) Define following terms:
(1) rise time (2) peak time (3) settling time (4) peak overshoot
04
2
(c) Draw the root locus plot of a control system whose open loop
transfer function is given by
?? ( ?? ) ?? ( ?? ) =
?? ?? ( ?? + 1 ) ( ?? + 5 )
07
Q.4 (a) Determine the transfer function of a system described by following
state space model
?? = [
? 2 1
0 ? 1
], ?? = [
1
1
], ?? = [ 1 1 ], D=0
03
(b) State the properties of state transition matrix. 04
(c) Consider an open loop transfer function
?? ( ?? ) ?? ( ?? ) =
50
( ?? + 1 ) ( ?? + 2 )
Using Nyquist stability criterion, determine whether the system is
stable when the feedback path is closed.
07
OR
Q.4 (a)
Discuss the limitations of transfer functions and advantages of analysis
of control systems using state space.
03
(b) Write a note on steady state error and error constants. 04
(c) Explain Nyquist stability criterion. 07
Q.5 (a) Define bandwidth, gain margin and phase margin for frequency
response.
03
(b) Draw the polar plot of G(s) =10/[s(s+2)]. 04
(c) The open loop transfer function of a unity feedback system is
?? ( ?? ) ?? ( ?? ) =
50
?? ( ?? + 10 ) ( ?? + 5 ) ( ?? + 1 )
From the Bode plot, determine gain margin and phase margin.
07
OR
Q.5 (a) Discuss the effect of time delay on the stability of the process. 03
(b) Discuss Nichol?s chart and its application. 04
(c) The open loop transfer function of a unity feedback system is given
by
?? ( ?? ) ?? ( ?? ) =
10 ( 1 + 0 . 5 ?? )
?? ( 0 . 1 ?? + 1 ) ( 0 . 2 ?? + 1 )
Draw the Bode plot and determine gain margin and phase margin.
07
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This post was last modified on 20 February 2020