GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- IV EXAMINATION — SUMMER 2020
--- Content provided by FirstRanker.com ---
Subject Code: 3141708 Date:27/10/2020
Subject Name: Control Theory
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
--- Content provided by FirstRanker.com ---
MARKS
Q.1 (a) Differentiate between open loop and close loop system 03
(b) For mechanical translational system. Write the analogous 04 electrical elements in force voltage and force-current analogy.
--- Content provided by FirstRanker.com ---
(c) Explain standard Test signals & derive equation of steady state 07
Q.2 (a) Define transfer function and Explain importance of Laplace 03 transform in control system.
(b) Explain following terms with necessary diagrams. (1) Delay Time 04 (2) Rise Time (3) Peak Time (4) Steady state error
(c) For the given mechanical system Write down differential 07 equations, mechanical circuit diagram and obtain force-current analogy.
--- Content provided by FirstRanker.com ---
OR
(c) What is force voltage analogous system? Which are the analogues 07 quantities according to this method?
Q.3 (a) State the limitation of Routh criterion and how these limitations 03 are overcome by Root Locus.
(b) Explain the mathematical model of thermal system. 04
(c) A linear feedback control system has the block diagram shown in 07 Figure. Using block diagram reduction rules, obtain overall transfer function C(S)/R (S).
--- Content provided by FirstRanker.com ---
OR
Q.3 (a) Derive unit step response of a first order system. 03
(b) By means of Routh criterion, determine the stability of the system 04 described by characteristic equations.
--- Content provided by FirstRanker.com ---
S4+8S3+18S2+16S+5=0
Comment on location of the roots.
(c) For the signal flow graph shown in Figure, using Masson’s gain 07 formula determine the overall transfer function C/ R.
Q.4 (a) Define pole, zero and order of a system. 03
--- Content provided by FirstRanker.com ---
(b) Explain Performance Indices. 04
(c) List all the rules to construct a root locus and explain. 07
OR
Q.4 (a) Derive expression of Kp, Kv, Ka for Type ‘0’ control system 03
(b) Define and explain following terms with respect to frequency 04 response (1) Gain Margin (ii) Phase Margin
--- Content provided by FirstRanker.com ---
(c) Explain Sensitivity of Control Systems to Parameter Variations. 07
Q.5 (a) Define: 1) state variable, 2) state vector, 3) state space 03
(b) With example explain the location of the roots of characteristics 04 equation for the stable control system.
(c) Sketch the root locus for the given open loop transfer function 07 G(s)H(s)=K /s (s +2)(s.+ 3)
OR
--- Content provided by FirstRanker.com ---
Q.5 (a) Explain the Nyquist stability criterion. 03
(b) Sketch polar plot for the system with open loop transfer function 04 is G(s)H(s)=1/(s +4)(s + 2)
(c) Sketch the Bode plot and determine the gain margin and phase 07 margin for the given unity feedback control system.
G(s)H(s)=k /s (1+0.02s)(1 + 0.04s).
--- Content provided by FirstRanker.com ---
This download link is referred from the post: GTU BE 2020 Summer Question Papers || Gujarat Technological University
--- Content provided by FirstRanker.com ---