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Gujarat Technological University

This document outlines the examination details for the Control Systems subject at Gujarat Technological University for BE Semester-III, scheduled for July 19, 2024. It includes instructions for the exam, a breakdown of questions covering various topics such as system definitions, Laplace transforms, transfer functions, stability criteria, and control system analysis. The total marks for the exam are 70, and students are allowed to use simple scientific calculators.

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sutharash106
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11 views2 pages

Gujarat Technological University

This document outlines the examination details for the Control Systems subject at Gujarat Technological University for BE Semester-III, scheduled for July 19, 2024. It includes instructions for the exam, a breakdown of questions covering various topics such as system definitions, Laplace transforms, transfer functions, stability criteria, and control system analysis. The total marks for the exam are 70, and students are allowed to use simple scientific calculators.

Uploaded by

sutharash106
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Enrolment No.

/Seat No_______________

GUJARAT TECHNOLOGICAL UNIVERSITY


BE - SEMESTER–III (NEW) EXAMINATION – SUMMER 2024
Subject Code:3131101 Date:19-07-2024
Subject Name: Control Systems
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.
4. Simple and non-programmable scientific calculators are allowed.
Marks

Q.1 (a) Define: (1) System (2) Output (3) Input 03


(b) Compare open loop and closed loop system. 04
(c) What is transfer function? Define Pole, Zero, Gain and Characteristic 07
equation with examples.

Q.2 (a) List properties of Laplace Transform. 03


(b) Find Laplace transform of sin (wt) 04
(c) Determine the Transfer function Vo (s) /Vi (s) of the electrical system 07
shown in given Figure.

OR
(c) Discuss rules for block diagram reduction with example 07
Q.3 (a) Define: (1) State (2) State variable (3) State vector 03
(b) Discuss various standard inputs used in the control system analysis. 04
(c) Explain the mathematical modelling of fundamentals components of 07
mechanical rotational system.
OR
Q.3 (a) Define Type and order of the system 03
(b) Derive the expression for static error coefficients. 04
(c) What is force voltage analogous system? Which are analogous quantities 07
according to this method?
Q.4 (a) Define: (1) Undamped system (2) Damped frequency of oscillation (3) 03
Natural frequency of oscillation
(b) Analyze necessary conditions for Hurwitz’s criterion. 04
(c) Sketch the root locus of the system whose open loop transfer function is 07
G(s) = K / s (s+2) (s+4). Find the value of K so that the damping ratio of
the closed loop system is 0.5.
OR
Q.4 (a) Define: (1) Peak overshoot (2) Settling time (2) Delay time 03
(b) Analyze Routh’s stability criterion. 04
(c) Discuss general steps to solve the problem on root locus. 07

1
Q.5 (a) Define: (1) Conditional stable system (2) Unstable system (3) Marginally 03
stable system
(b) Discuss steps to sketch the bode plot. 04
(c) Explain the following controllers (1) P controller (2) PI controller (3) PID 07
controller
OR
Q.5 (a) Define: (1) Gain margin (2) Phase margin (3) cut-off frequency 03
(b) Consider a system with open loop transfer function as G(s)H(s) = 10 / s, 04
obtain its polar plot.
(c) A unity feedback control system has 07
G(s) = 80 / s (s+2) (s+20). Draw the bode plot.

**************

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