GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-1V (NEW) EXAMINATION - WINTER 2018
--- Content provided by FirstRanker.com ---
Subject Code:2141708 Date:28/11/2018
Subject Name:Control System
Time: 02:30 PM TO 05:00 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) Explain Initial value theorem and Final Theorem in Laplace Transformation. 03
(b) Find the inverse Laplace Transform of the following function: 04
--- Content provided by FirstRanker.com ---
F(s) = (5s+3) / (s^2 + 6s + 5)
(c) Explain in detail open loop and closed loop control system along with example, advantages and disadvantages. 07
Q.2 (a) Write advantages and disadvantages of polar plot. 03
(b) Explain constant-M circle. 04
(c) Sketch the bode plot and determine the gain cross-over and phase cross over frequencies for the following transfer function. 07
--- Content provided by FirstRanker.com ---
G(s) = 10 / (s(1+0.5s)(1+0.1s))
OR
(c) Draw the Bode plot for a system having 07
G(s)H(s) = 100 / (s(s+1)(s+2))
Find gain margin, phase margin.
--- Content provided by FirstRanker.com ---
Q.3 (a) Obtain the transfer function of following electrical system. 03
(Diagram of electrical system here)
(b) Derive force-voltage and force-current analogy. 04
(c) Obtain the transfer function from the given signal flow graph. 07
(Signal flow graph here)
--- Content provided by FirstRanker.com ---
OR
Q.3 (a) Explain absolute stability, relative stability and BIBO stability. 03
(b) Determine the transfer function of a system whose block diagram is given below. 04
(Block diagram here)
(c) Derive the transfer function of armature-controlled DC motor. 07
--- Content provided by FirstRanker.com ---
Q.4 (a) A unity feedback system has transfer function 03
G(s) = K(2s+1) / (s(4s + 1)(s+ 1))
Determine the value of K, if the steady state value of error to be less than 0.1 when an input r(t) = 1 + 5t is applied.
(b) State the rules for construction of root locus. 04
(c) Draw the root-locus for open-loop transfer function 07
--- Content provided by FirstRanker.com ---
G(s)H(s) = K / (s(s+3)(s^2+ 2s+2))
when K is varied from 0 to infinity.
OR
Q.4 (a) Derive steady state errors for unit step, unit ramp and unit parabolic input. 03
(b) A unity feedback system is given by open loop transfer function 04
--- Content provided by FirstRanker.com ---
G(s) = K / (s(s+ 10))
Determine the gain K with damping factor of 0.5. Also determine settling time, peak overshoot and peak time for a unit step input with the obtained K.
(c) The open loop transfer function of a feedback control system is 07
G(s)H(s) = K / (s(s+4)(s^2 + 4s + 20))
Find the root locus as K is varied from 0 to infinity.
--- Content provided by FirstRanker.com ---
Q.5 (a) Consider the characteristic equation 03
s^4 + 8s^3 + 18s^2 + 16s + 5 = 0
Find out the stability using Hurwitz’s criterion.
(b) Compute eAt if 04
(Matrix A here)
--- Content provided by FirstRanker.com ---
using laplace transform method.
Q.5 (a) Obtain the transfer function of the system having following state transition equations. 07
(State transition equations here)
OR
(a) What are the advantages of state variable analysis over classical methods? 03
--- Content provided by FirstRanker.com ---
(b) Using Routh’s test determine the stability of a system whose characteristic equation is given by 04
s^6 + 2s^5 + 8s^4 + 12s^3 + 20s^2 + 16s + 16 = 0
(c) Obtain the state equations for the following system. 07
(System diagram here)
--- Content provided by FirstRanker.com ---
This download link is referred from the post: GTU BE/B.Tech 2018 Winter Question Papers || Gujarat Technological University
--- Content provided by FirstRanker.com ---