# Download GTU B.Tech 2020 Summer 4th Sem 2141708 Control System Question Paper

Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Summer 4th Sem 2141708 Control System Previous Question Paper

Seat No.: ________
Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER? IV EXAMINATION ? SUMMER 2020
Subject Code: 2141708 Date:02/11/2020
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.

MARKS
Q.1 (a) Draw and explain block diagram of open loop control system with
03
suitable example.

04
open loop control system.

(c) Find out transfer function of electrical lead network.
07
Q.2 (a) Define the following terms:
03
1. Gain 2. Characteristic Equation 3. Pole

(b) Find out inverse Laplace transform for F(s)= 4 .
04
(+1)

(c) Derive transfer function of field controlled dc motor.
07

OR

(c) Obtain FI and F V analogy for given mechanical network
07
Q.3 (a) Define following terms of Signal Flow Graph.
03
Node, Loop , Self Loop

(b) Derive state model for series RLC circuit.
04

(c) Write the rules for block diagram Reduction technique
07

OR

Q.3 (a) Define state transition matrix using equation.
03

(b) Draw the
step response of second order system for values of damping
04
ratio (i) 1 (ii) =1 (iii) 0< < 1 (iv) =0

(c) Obtain the overall transfer function using Mason's gain formula for the
07
signal flow graph shown in Fig.

1

Q.4 (a) What are the advantages of state variable analysis over classical
03
methods?

(b) Derive first order step response.
04

(c) The closed loop transfer function of a second order system is given by
07
100
() =
. Determine damping ratio, peak overshoot, settling
2+10+100
time, rise time, peak time.

OR

Q.4 (a) Define position error constant, velocity error constant , Acceleration
03
error constant.

(b) Explain standard test signals.
04

(c) 6 + 45 + 34 - 162 - 64 - 48 = 0 Check the stability of the
07
given characteristic equation using R-H method.
Q.5 (a) What is M circle and N circles in Nyquist plot.
03

(b) Define the following terms with respect to frequency response (i) Gain
04
Margin (ii) Phase Margin (iii) Gain cross-over frequency (iv) Phase
crossover Frequency

(c) Draw the Bode plot for a system transfer function
07
G(s)H(s) =
100
.
(+1)(+2)

OR
Q.5 (a) Explain polar plot in brief.
03
(b) Explain Nyquist stability criteria in brief.
04
(c) Draw the root locus for the open loop transfer function of a unity
07
feedback control system is
G(s) =
(+6)(+9)

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