Gujarat Technological UniversitySummer 2025 examination

GTU 3130905 Control System Theory Summer 2025 Question Paper & PDF

B.E. · Electrical Engineering · Semester 3 · Subject code 3130905
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Total
70 marks
To pass
23 marks (33%)
Duration
2.5 Hours 2:30 PM – 5:00 PM
Questions
5 with internal choice
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Q.1

14 Marks
(a)
3 marks

Define the following terms.

1Transfer function 2. Summing point 3. Take off point.
(b)
4 marks
Compare open loop and closed loop control systems.
(c)
7 marks

Explain block diagram reduction technique rules to find overall transfer function of control system.

Q.2

14 Marks
(a)
3 marks
Define the standard test signals.
(b)
4 marks
Write advantages and features of transfer function.
(c)
7 marks

Determine the transfer function for given mechanical system shown in fig.1 and draw equivalent electrical circuit for F-V analogy.

GTU Control System Theory (3130905) Summer 2025 Question 2(c) Diagram
(c)
7 marks
Derive the transfer function of an armature-controlled D.C. motor.

Q.3

14 Marks
(a)
3 marks

Define the following time response specifications.

1Delay time 2. Rise time 3. Settling time
(b)
4 marks

Determine the stability of control system having following characteristic equation using R-H Criterion. S5+S⁴+2S³+2S²+3S+5=0

(c)
7 marks
Explain the analysis of first order system.
(a)
3 marks
State the advantages of Nyquist plot.
(b)
4 marks
Sketch the polar plot for the transfer function G(S)= 5/(S+1) (S+2)
(c)
7 marks

Construct the bode plot for the given transfer function and determine the gain margin, phase margin and closed loop stability. G(S)H(S)= 4/S (1+0.5S) (1+ 0.08S)

Q.4

14 Marks
(a)
3 marks
Draw the circuit of lead compensator and lag compensator.
(b)
4 marks
Explain about derivative control mode.
(c)
7 marks
Draw and explain the operation of electronic PID controller.
(a)
3 marks

State the various compensation networks and different methods of compensation.

(b)
4 marks
Draw and explain polar plot of lag-lead network.
(c)
7 marks
Explain the design of Lag-Lead compensator using Root Locus.

Q.5

14 Marks
(a)
3 marks
Write the properties of state transition matrix.
(b)
4 marks
State the advantages and limitations of state model using phase variables.
(c)
7 marks
Obtain the state space representation of given electrical circuit shown in
GTU Control System Theory (3130905) Summer 2025 Question 5(c) Diagram
(a)
3 marks
Define the terms: 1. Sate Variables 2. State Space 3. State Vector
(b)
4 marks

Find the controllability and Observability of the system described by the state equation:

(c)
7 marks
Obtain the state model of given mechanical model shown in
GTU Control System Theory (3130905) Summer 2025 Question 5 OR (c) Diagram

Other Semester 3 subjects

BE Electrical

3130906
Electrical Circuit Analysis
3130907
Analog & Digital Electronics
3130908
Applied Mathematics for Electrical Engineering
BE03000191
Numerical Methods for Electrical Engineering

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About this paper

Official Gujarat Technological University (GTU) examination paper for Control System Theory (Summer 2025, B.E. · Electrical Engineering, Sem 3). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.

Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.

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