Seat No.:
Subject Code: 2181705
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Enrolment No.
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-VIII EXAMINATION — SUMMER 2020
Subject Name: Advanced Control Theory
Time: 02.30 to 05.00 pm Total Marks: 70
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Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
Q.1 (a) Discuss the Concept of interaction and decoupling for Multi variable systems. 03
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(b) Explain various applications of fuzzy logic control system. 04
(c) How the LTI discrete system can be represented in state space? Discuss on stability aspect in state space domain for the system. 07
Q.2 (a) List the methods of deriving Inverse Z-transform, explain it with suitable example. 03
(b) Explain Singular points in detail, with associated diagrams. 04
(c) How the PID controller can be implemented with a digital system? Explain with relevant equations. 07
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OR
(c) Describe in Detail, on Relative Gain Array for Multi variable system Analysis with suitable Example. 07
Q.3 (a) Discuss on fuzzification process. 03
(b) What is two degree of freedom control? Explain in brief. 04
(c) Explain phase plane method. Show the procedure of construction of phase trajectories, for suitable example. 07
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OR
Q.3 (a) Discuss the Effect of sample time on systems stability 03
(b) Define nonlinear system. Classify various types of nonlinearities. 04
(c) Describe the design of state feedback controller & state observer, with suitable example, in Discrete Domain. 07
Q.4 (a) What is the relationship between s and z domain? 03
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(b) Discuss on De-fuzzification process. 04
(c) Obtain the describing function of relay with hysteresis type of nonlinearity. Comment on the memory type non-linearity and memory less non-linearity. 07
OR
Q.4 (a) What is zero order hold? Explain it brief. 03
(b) Make comparison between Describing Function Method and Phase plane method for Non-linear System, based on it’s associated Features, Advantages & Limitations. 04
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(c) State Lyapunov’s theorem. Discuss the stability for Non linear system using it and explain it with suitable example. 07
Q.5 (a) Comments on stability of nonlinear system and concept of limit cycles, with diagrams. 03
(b) Explain multivariable system with example. 04
(c) What is Describing Function Method? Explain DF Analysis method for Non-linear System, with suitable example. 07
OR
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Q.5 (a) Describe the process of Discretization of continuous time system. 03
(b) Explain membership functions for fuzzy logic based systems. 04
(c) Discuss in Brief, about the stability in the z-domain. Explain the various methods to evaluate it, with suitable example. 07
Date: 27.10.2020
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This download link is referred from the post: GTU BE 2020 Summer Question Papers || Gujarat Technological University
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