Download GTU BE/B.Tech 2019 Winter 6th Sem New 2160104 Basic Control Theory Question Paper

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GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- VI (New) EXAMINATION - WINTER 2019

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Subject Code: 2160104 Date: 11/12/2019
Subject Name: Basic Control Theory
Time: 02:30 PM TO 05:00 PM Total Marks: 70

Instructions:

1. Attempt all questions.

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2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

MARKS

Q.1 (a) Differentiate Open-loop and Closed-loop control system. 03
(b) List rules for Block Diagram Reduction Techniques 04

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(c) Using Mason’s Gain Formula, Find the transfer function C(S)/R(S) for the Signal Flow Graph shown in figure. 07

Q.2 (a) Explain standard test signals. 03
(b) State and explain Mason’s gain formula. 04
(c) Reduce the Block Diagram to its Simple Form and obtain C(S)/R(S). 07

OR

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(c) For the mechanical system shown in figure, (1) Draw the node diagram (2) Write System equations of performance (3) Draw Force to Voltage analogous circuit. 07

Q.3 (a) By means of Routh criterion, determine the stability of the system described by characteristic equation, S⁴ +2S³ +8S²+4S +3 =0 03
(b) Explain types of the system and steady state error constants for the same. 04
(c) Derive transfer function of impulse response. 07

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OR

Q.3 (a) Describe steady state error. 03
(b) Explain ON-OFF controller with neutral zone. 04
(c) A unity feedback control system has G(s) =K/s(s+10)(s²+4s+5) . Determine the Range of K for closed loop system to stable. 07

Q.4 (a) Draw the polar plot of G(s)=1/s 03

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(b) Which two plots constitute Bode plot? What steps are followed to sketch Bode plot? 04
(c) Plot the root locus for given transfer function. G(s) = K/s(s+1)(s+4). 07

OR

Q.4 (a) For a unity feedback control system G(s) = 10/(s²+4s+5) obtain steady state error for step input. 03
(b) Write the rules for drawing root locus 04

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(c) Draw the bode plot for the system having G(s)H(s)=20/s(0.1s+1). Determine the Gain Margin and Phase Margin. 07

Q.5 (a) State Nyquist stability criterion. 03
(b) Compare classical control theory with conventional control theory. 04
(c) Find the eigen values for the following matrix. 07

A = | 0 1 0 |

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| 0 0 1 |
| -6 -11 -6 |

OR

Q.5 (a) Define state and state variables. 03
(b) Obtain second order step response for the under damped case. 04

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(c) Explain PI Controller. List Advantages, Disadvantages and Applications of it. 07

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