Download GTU B.Tech 2020 Winter 8th Sem 2181705 Advance Control Theory Question Paper

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

Seat No.: ________
Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE- SEMESTER?VIII (NEW) EXAMINATION ? WINTER 2020
Subject Code:2181705 Date:28/01/2021
Subject Name:Advance Control Theory
Time:02:00 PM TO 04:00 PM Total Marks: 56
Instructions:
1. Attempt any FOUR questions out of EIGHT questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.


MARKS
Q.1 (a) Introduce terms positive definite, negative definite and indefinite
03
function.

(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?
07

Explain with equations.






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
07
period T=1s of the following continuous time system
1
G(s)

s(s 2)
Q.5 (a) Derive the relationship between z and s-domain. Also explain the
03
mapping of s-domain in to z-domain.

(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-
07
linearity.



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 (1)k2 (2)kak-1 ; k1 (3)k2ak-1 ; k1
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
07
non-interacting systems?
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