GTU BE 2020 Summer Question Papers || Gujarat Technological University
Subject Name: Control System
Time: 10:30 AM TO 01:00 PM Total Marks: 70
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- IV EXAMINATION — SUMMER 2020
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Subject Code: 2141708 Date:02/11/2020Subject Name: Control System
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.
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| MARKS | ||
| Q.1 | (a) Draw and explain block diagram of open loop control system with suitable example. | 03 |
| (b) Enlist advantages and disadvantages of closed loop control system over open loop control system. | 04 | |
| (c) Find out transfer function of electrical lead network. | 07 | |
| Q.2 | (a) Define the following terms:
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| (b) Find out inverse Laplace transform for F(s): | 04 | |
| (c) Derive transfer function of field controlled dc motor. | 07 | |
| OR | ||
| (c) Obtain F-I and F-V analogy for given mechanical network | 07 | |
| Q.3 | (a) Define following terms of Signal Flow Graph. Node, Loop, Self Loop | 03 |
| (b) Derive state model for series RLC circuit. | 04 | |
| (c) Write the rules for block diagram Reduction technique | 07 | |
| OR | ||
| Q.3 | (a) Define state transition matrix using equation. | 03 |
| (b) Draw the step response of second order system for values of damping ratio (i) C>1 (ii) C<1 (iii) 0 < C <1 (iv) C=0 | 04 | |
| (c) Obtain the overall transfer function using Mason’s gain formula for the signal flow graph shown in Fig. | 07 | |
| Q.4 | (a) What are the advantages of state variable analysis over classical methods? | 03 |
| (b) Derive first order step response. | 04 | |
| (c) The closed loop transfer function of a second order system is given by G(s) = %. Determine damping ratio, peak overshoot, settling time, rise time, peak time. | 07 | |
| OR | ||
| Q.4 | (a) Define position error constant, velocity error constant, Acceleration error constant. | 03 |
| (b) Explain standard test signals. | 04 | |
| (c) s6 +4s5 +3s4 -16s3 -64s -48 = 0 Check the stability of the given characteristic equation using R-H method. | 07 | |
| Q.5 | (a) What is M circle and N circles in Nyquist plot. | 03 |
| (b) Define the following terms with respect to frequency response (i) Gain Margin (ii) Phase Margin (iii) Gain cross-over frequency (iv) Phase crossover Frequency | 04 | |
| (c) Draw the Bode plot for a system transfer function G(s)H(s) = 100 / s(s+1)(s+2) | 07 | |
| OR | ||
| Q.5 | (a) Explain polar plot in brief. | 03 |
| (b) Explain Nyquist stability criteria in brief. | 04 | |
| (c) Draw the root locus for the open loop transfer function of a unity feedback control system is G(S) = k / s(s+6)(s+9) | 07 |
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