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

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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2

This post was last modified on 04 March 2021