GTU B.Tech 2020 Winter Question Papers || Gujarat Technological University
Subject Name:Advance Control Theory
Time:02:00 PM TO 04:00 PM Total Marks: 56
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GUJARAT TECHNOLOGICAL UNIVERSITY
BE- SEMESTER-VIII (NEW) EXAMINATION — WINTER 2020
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Subject Code:2181705 Date:28/01/2021Subject Name:Advance Control Theory
Time:02:00 PM TO 04:00 PM Total Marks: 56
Instructions:
- Attempt any FOUR questions out of EIGHT questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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| MARKS | ||
|---|---|---|
| Q.1 | (a) Introduce terms positive definite, negative definite and indefinite function. | 03 |
| (b) Explain the Stability criterion by the Jury test. | 04 | |
| (c) Explain Singular points in detail | 07 | |
| Q.2 | (a) Explain the block diagram of the digital control system. | 03 |
| (b) Write a note on Lyapunov’s direct method | 04 | |
| (c) How the PID controller can be implemented with a digital system? Explain with equations. | 07 | |
| Q.3 | (a) State sampling theorem. | 03 |
| (b) Write a note on state feedback design for discrete time system. | 04 | |
| (c) Brief about stability in the z-domain. Explain with example | 07 | |
| Q.4 | (a) Comment on describing function analysis for nonlinear systems. | 03 |
| (b) Obtain the z-transform of Unit -Step function and unit ramp function | 04 | |
| (c) Obtain discrete time state and output equations when the sampling period T=1s of the following continuous time system G(s)=— --- Content provided by FirstRanker.com --- s(s+2) | 07 | |
| Q.5 | (a) Derive the relationship between z and s-domain. Also explain the mapping of s-domain in to-z-domain. | 03 |
| (b) List out the properties of z-transform and explain any two. | 04 | |
| (c) Obtain the describing function of relay with dead zone type of non- linearity. | 07 | |
| Q.6 | (a) Give the application of fuzzy logic in control system. | 03 |
| (b) Explain phase plane method & construction of phase trajectories. | 04 | |
| (c) Find the z-transform of ()&% 2Q)ka™' ; k=1 (3)k%a*!; k>1 | 07 | |
| Q.7 | (a) What is two degrees of freedom control? | 03 |
| b) What are fuzzy membership function and its types | 04 | |
| (c) Explain Relative Gain Array | 07 | |
| Q.8 | (a) Describe Discretization of continuous time system. | 03 |
| (b) What are fuzzy membership function and its types | 04 | |
| (c) Explain multivariable systems with example. What is interacting and non-interacting systems? | 07 |
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