GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- IV (New) EXAMINATION - WINTER 2019
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Subject Code: 2142003
Subject Name: Control Theory
Time: 10:30 AM TO 01:00 PM
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q.1 (a) | Differentiate between open loop and close loop system. | MARKS 03 |
Q.1 (b) | Define and explain the following terms related to the transfer function of a system. Poles, Zeros, Characteristic equation, order. | 04 |
Q.1 (c) | Explain open loop and closed loop control system with suitable example & gives its advantages and disadvantages. | 07 |
Q.2 (a) | Explain the mathematical model of thermometer. | 03 |
Q.2 (b) | Discuss translational element. | 04 |
Q.2 (c) | Derive the transfer function of simple liquid level system with interaction. OR Explain the analysis of gear train with inertia and friction. | 07 |
Q.3 (a) | Explain various standard inputs used in the control system analysis. | 03 |
Q.3 (b) | Explain the critical rules. | 04 |
Q.3 (c) | What is force voltage analogous system? Which are the analogues quantities according to this method? --- Content provided by FirstRanker.com --- ORDerive the expression for Peak overshoot. | 07 |
Q.4 (a) | Define the following terms related to SFG. Non-touching loops, Dummy node; Loop gain, self-loop | 03 |
Q.4 (b) | Rules of Block Diagram Reduction. | 04 |
Q.4 (c) | Explain the following terms: Delay time, Rise time, Peak time. | 07 |
Q.5 (a) | Define and Explain the following terms. State variable, State vector, State trajectory, State space. | 03 |
Q.5 (b) | Derive the expression for unit step response of underdamped second order system. OR Explain static error co-efficient method to obtain steady state error. | 04 |
Q.5 (c) | Define the following terms. Stable systems, Unstable system, Critically stable system, Conditionally stable system. | 07 |
Q.6 (a) | List all the rules to construct a root locus and explain. | 03 |
Q.6 (b) | What is polar plot? Explain. | 04 |
Q.6 (c) | Explain: G.M., P.M., ogc, opc. | 07 |
Q.7 (a) | List all the steps to sketch the Bode plot. OR --- Content provided by FirstRanker.com --- Explain Routh’s stability criterion with example. | 03 |
Q.7 (b) | What is corner frequency? Explain. | 04 |
Q.7 (c) | How to determine gain margin and phase margin from the Polar plot and Nyquist plot? | 07 |
Date: 12/12/2019
Total Marks: 70
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