# Download GTU B.Tech 2020 Summer 8th Sem 2181705 Advanced Control Theory Question Paper

Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Summer 8th Sem 2181705 Advanced Control Theory Previous Question Paper

Seat No.: ________
Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER?VIII EXAMINATION ? SUMMER 2020
Subject Code: 2181705

Date: 27.10.2020
Subject Name: Advanced Control Theory
Time:02.30 to 05.00 pm Total Marks: 70
Instructions:
1. Attempt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.
Q.1 (a) Discuss the Concept of interaction and decoupling for Multi variable systems.
03

(b) Explain various applications of fuzzy logic control system.
04

(c) 04
How the LTI discrete system can be represented in state space? Discuss on 07
stability aspect in state space domain for the system.

Q.2 (a) List the methods of deriving Inverse Z-transform, explain it with suitable
03
example.

(b) Explain Singular points in detail, with associated diagrams.
04

(c) How the PID controller can be implemented with a digital system? Explain with 07
relevant equations.

OR

(c) Describe in Detail, on Relative Gain Array for Multi variable system Analysis 07
with suitable Example.

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 07
trajectories, for suitable example.

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 07
example, in Discrete Domain.

Q.4 (a) What is the relationship between s and z domain?
03

(b) Discuss on De-fuzzification process.
04

(c) Obtain the describing function of relay with hysteresis type of nonlinearity. 07
Comment on the memory type non-linearity and memory less non-linearity.

OR

Q.4 (a) What is zero order hold? Explain it brief.
03

(b) Make comparison between Describing Function Method and Phase plane 04
method for Non-linear System, based on it's associated Features, Advantages &
Limitations.

(c) State Lyapunov's theorem . Discuss the stability for Non linear system using it 07
and explain it with suitable example.

Q.5 (a) Comments on stability of nonlinear system and concept of limit cycles, with 03
diagrams.
1

(b) What is the Multivariable system? Draw and explain the block diagram of 04
multivariable system with example.

(c) What is Describing Function Method? Explain DF Analysis method for Non- 07
linear System, with suitable example.

OR
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 07
methods to evaluate it, with suitable example.
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This post was last modified on 04 March 2021