Download GTU BE/B.Tech 2019 Winter 4th Sem New 2142003 Control Theory Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 4th Sem New 2142003 Control Theory Previous Question Paper

1
Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ? IV (New) EXAMINATION ? WINTER 2019
Subject Code: 2142003 Date: 12/12/2019

Subject Name: Control Theory

Time10:30 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) Differentiate between open loop and close loop system. 03
(b) Define and explain the following terms related to the transfer function
of a system. Poles, Zeros, Characteristic equation, order.
04
(c) Explain open loop and closed loop control system with suitable example
& gives its advantages and disadvantages.
07
Q.2 (a) Explain the mathematical model of thermometer. 03
(b) Discuss translational element. 04
(c) Derive the transfer function of simple liquid level system with
interaction.
07
OR
(c) Explain the analysis of gear train with inertia and friction. 07
Q.3 (a) Explain various standard inputs used in the control system analysis. 03
(b) Explain the critical rules. 04
(c) What is force voltage analogous system? Which are the analogues
quantities according to this method?
07
OR
Q.3 (a) Derive the expression for Peak overshoot. 03
(b) Define the following terms related to SFG.
Non-touching loops, Dummy node, Loop gain, self-loop
04
(c) Rules of Block Diagram Reduction. 07
Q.4 (a) Explain the following terms: Delay time, Rise time, Peak time. 03
(b) Define and Explain the following terms.
State variable, State vector, State trajectory, State space.
04
(c) Derive the expression for unit step response of underdamped second
order system.
07
OR
Q.4 (a) Explain static error co-efficient method to obtain steady state error. 03
(b) Define the following terms.
Stable systems, Unstable system, Critically stable system,
Conditionally stable system.
04
(c) List all the rules to construct a root locus and explain. 07
Q.5 (a) What is polar plot? Explain. 03
(b) Explain: G.M., P.M., ?gc, ?pc. 04
(c) List all the steps to sketch the Bode plot. 07
OR

Q.5 (a) Explain Routh?s stability criterion with example. 03
(b) What is corner frequency? Explain. 04
(c) How to determine gain margin and phase margin from the Polar plot
and Nyquist plot?
07
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