Download GTU BE/B.Tech 2018 Winter 6th Sem New 2160104 Basic Control Theory Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 6th Sem New 2160104 Basic Control Theory Previous Question Paper

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Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ?VI (NEW) EXAMINATION ? WINTER 2018
Subject Code:2160104 Date:30/11/2018

Subject Name:Basic Control Theory

Time: 02:30 PM TO 05:00 PM Total Marks: 70

Instructions:

1. Attempt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

Q-1 (a) Define: SISO, SIMO and MIMO System with examples. 03
(b) What do you mean by analogous system? Explain Force to Voltage Analogy. 04
(c) Explain Closed Loop Control System with one practical example. 07
Q-2 (a) List rules for Block Diagram Reduction Techniques. 03
(b) Compare Signal Flow Graph and Block Diagram Techniques. 04
(c) Obtain the transfer function C(s)/R(s) from signal flow graph of the system given below:

07
OR
(c) Find the transfer function of the system given below through block diagram reduction method:





07
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Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ?VI (NEW) EXAMINATION ? WINTER 2018
Subject Code:2160104 Date:30/11/2018

Subject Name:Basic Control Theory

Time: 02:30 PM TO 05:00 PM Total Marks: 70

Instructions:

1. Attempt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

Q-1 (a) Define: SISO, SIMO and MIMO System with examples. 03
(b) What do you mean by analogous system? Explain Force to Voltage Analogy. 04
(c) Explain Closed Loop Control System with one practical example. 07
Q-2 (a) List rules for Block Diagram Reduction Techniques. 03
(b) Compare Signal Flow Graph and Block Diagram Techniques. 04
(c) Obtain the transfer function C(s)/R(s) from signal flow graph of the system given below:

07
OR
(c) Find the transfer function of the system given below through block diagram reduction method:





07
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Q-3 (a) List equation for steady state errors error constants Kp, Ki and Kd. 03
(b) A unity feedback system is characterized by the open loop transfer function
G(s) =
1
?? (0.5?? +1)(0.2?? +1)
. Determine the steady state errors for unit step, unit ramp and unit
acceleration input.
04
(c) What is transfer function? Gives one advantage and disadvantage of its. Derive transfer
function of impulse response.
07
OR
Q-3 (a) Write down zita (?) value for un damped, under damped, over damped and critically damped
system.
03
(b)
The open loop transfer function of a unity feedback system is G(S) =
4
?? (?? +1)
. Determine the
nature of response of the closed loop system for a unity step input signal. Also determine the
rise time, peak time, peak overshoot, and settling time for 2% and 5%.
04
(c) Distinguish between Conventional Control Theory and Modern Control Theory. 07
Q-4 (a) By using Routh Criterion, Determine the stability of the system described by characteristics
equation: S
4
+ 3S
3
+ 5S
2
+ 6S + 5 = 0.
03
(b)
Draw the Polar Plot of G(s) =
5
?? (?? +1)
.
04
(c)
Draw the root locus of for the given transfer function G(s) =
?? ?? (?? +2)(?? +5)
. Determine the value
of k.
07
OR
Q-4 (a)
Determine Type and Order of the system. G(s) =
10
?? (?? +5)(6?? +1)
.
03
(b) Write the rules for drawing root locus. 04
(c) Draw the bode plot and determine the gain crossover and phase crossover frequencies for the
transfer function G(s) =
12
?? (0.5?? +1)(0.1?? +1)
.
07
Q-5 (a) For a RL circuit, derive the state model of the system. 03
(b) What is different between absolute Stability and Relative Stability? 04
(c) Explain PID Controller. List Advantages, Disadvantages and Applications of it. 07
OR
Q-5 (a) Explain ON OFF Controller. 03
(b) Compare PI, PD and PID Controller. 04
(c) Explain PI Controller. List Advantages, Disadvantages and Applications of it. 07


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