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Download GTU BE/B.Tech 2019 Winter 8th Sem New 2181705 Advance Control Theory Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 8th Sem New 2181705 Advance Control Theory Previous Question Paper

This post was last modified on 20 February 2020

GTU BE/B.Tech 2019 Winter Question Papers || Gujarat Technological University


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Subject Code: 2181705

GUJARAT TECHNOLOGICAL UNIVERSITY

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BE - SEMESTER- VIII (New) EXAMINATION — WINTER 2019
Subject Name: Advance Control Theory
Date: 29/11/2019
Time: 02:30 PM TO 05:00 PM
Total Marks: 70

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Instructions:

  1. Attempt all questions.
  2. Make suitable assumptions wherever necessary.
  3. Figures to the right indicate full marks.
Q.1 (a) Describe Discretization of continuous time system. 03
(b) Draw and explain the block diagram of linear time-invariant discrete time control system in state space. 04
(c) What is nonlinear system? Classify various types of nonlinearities 07
OR
Q.2 (a) Explain the describing function analysis method. 03
(b) Explain phase plane method & construction of phase trajectories. 04
(c) Define local stability, asymptotically stable, asymptotically stable at large and limit cycles for nonlinear system 07
OR
Q.3 (a) Consider the system described by

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Y (k)-0.6y(k-1)-0.81y(k-2)+0.67y(k-3)-0.12y(k-4)=x(k)
Where x(k) is the input and y(k) is the output of the system. Determine the stability of the system.
03
(b) Write a short note on fuzzification. 04
(c) Comment on membership function and its types.
Explain in details applications of fuzzy logic to control systems.
07
OR
Q.4 (a) Brief about stability in the z-domain. 03
(b) How the PID controller can be implemented with a digital system? 04
(c) Define singular point. Explain in detail
Derive describing function for a relay with dead zone.
07
OR
Q.4 (a) Explain relative gain array formultivariable system. 03
(b) Obtain the phase trajectory for the system shown below having relay with dead zone non linearity. Compare and comment with respect to the phase trajectory obtained with dead zone nonlinearity absent in the same system.

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