Gujarat Technological UniversityWinter 2025 examination

GTU 3151908 Control Engineering Winter 2025 Question Paper & PDF

B.E. · Mechanical Engineering · Semester 5 · Subject code 3151908
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Total
70 marks
To pass
23 marks (33%)
Duration
2.5 Hours 10:30 AM – 1:00 PM
Questions
5 with internal choice
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Q.1

14 Marks
(a)
3 marks
Define:
iControlled variable
iiManipulated variable
iiiError
(b)
4 marks

Define Control system. Explain the role of Servomechanism in Control systems.

(c)
7 marks

Draw the block diagram for a closed loop control system. List the advantages of closed loop control system over open loop control system.

Q.2

14 Marks
(a)
3 marks
Determine Laplace transform of :
iStep function, u(t) (ii) Impulse function, δ(t) (iii) sinωt
(b)
4 marks
Explain Principle of superposition and homogeneity for a linear system.

Linearize T = mgLsinθ, about θ = 0⁰.

(c)
7 marks
Using Block diagram reduction method, find transfer function:
GTU Control Engineering (3151908) Winter 2025 Question 2(c) Diagram
(c)
7 marks

List the steps in finding transfer function using Mason’s Gain formula. Define (a) Node (b) Path (c) Branch (d) Loop.

Q.3

14 Marks
(a)
3 marks
Determine transfer function of :
iProportional controller (ii) Integral controller (iii) Derivative controller
(b)
4 marks

The transfer function of a system Y(s)/R(s) is 10(s+2) / s² + 8s +15. Determine y(t) when r(t) is a unit step function.

(c)
7 marks

Obtain state transition matrix and inverse of state transition matrix of following:

[x˙1x˙2]=[01−2−3][x1x2]\begin{bmatrix}\dot{x}_1\\ \dot{x}_2\end{bmatrix}=\begin{bmatrix}0&1\\-2&-3\end{bmatrix}\begin{bmatrix}x_1\\x_2\end{bmatrix}

(a)
3 marks

Determine the poles and zeroes of following control system and plot them on S-plane.

G(s)=K(s+2)s2+2s+3G(s)=\frac{K(s+2)}{s^2+2s+3}

(b)
4 marks

Determine the value of K for which, the control system with following characteristic equation will behave as stable system: S³ + 3S² + 2S + K = 0

(c)
7 marks

Carry out mathematical modeling of given liquid level system and determine the transfer function:

GTU Control Engineering (3151908) Winter 2025 Question 3 OR (c) Diagram

Q.4

14 Marks
(a)
3 marks

Define following terms : (a) Absolute stability (b) Relative stability (c) Steady state error

(b)
4 marks
Define:
iRise time (ii) Settling time (iii) Peak time (iv) Maximum overshoot
(c)
7 marks
Explain in detail the steps involved in Nyquist stability criteria.
(a)
3 marks

Define (a) Bandwidth (b) Break frequency (c) Resonant frequency in reference with frequency response analysis.

(b)
4 marks

Explain (a) Lead compensation (b) Lag compensation in connection with frequency response analysis.

(c)
7 marks
Explain Ziegler- Nichols rules for Tuning of PID controllers.

Q.5

14 Marks
(a)
3 marks
List and explain the components of Hydraulic control system.
(b)
4 marks

Write advantages of Hydraulic control system over Pneumatic control system.

(c)
7 marks

With the help of neat diagram, Explain the working of Nozzle-Flapper device. Also draw the characteristic curve of it.

(a)
3 marks
Compare electrical control system and Hydraulic control system.
(b)
4 marks
Differentiate Force-balance and Force-distance type controllers.
(c)
7 marks

Carry out mathematical modeling of a hydraulic integral controller (Hydraulic servomotor) and determine its transfer function.

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About this paper

Official Gujarat Technological University (GTU) examination paper for Control Engineering (Winter 2025, B.E. · Mechanical Engineering, Sem 5). 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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