Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 7th Sem New 2172007 Modern Control Systems Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? VII (New) EXAMINATION ? WINTER 2019
Subject Code: 2172007 Date: 30/11/2019
Subject Name: Modern Control Systems
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) List advantages of feedback control systems. 03
(b) Explain (i) steady state response (ii) transient response of control systems. 04
(c) What is cascade compensation in control system? Why such compensations
are needed?
07
Q.2 (a) Explain effect of addition of open loop zero on control systems. 03
(b) What is compensation in control systems? Which compensation techniques
are used in practice?
04
(c) Explain design procedure to design cascade lag compensation using root
locus technique.
07
OR
(c) Explain design procedure to design cascade lead compensation using bode
plot technique.
07
Q.3 (a) Explain angle of departure in root locus technique. 03
(b) Explain with suitable example that how stability of a control system can be
determined using root locus of a given control system.
04
(c) Explain various steps to design a lag compensator for a given control system
using bode plot technique.
07
OR
Q.3 (a) Explain phase margin and gain margin. 03
(b) Give comparison between frequency response analysis and time response
analysis of control systems.
04
(c) Consider a unity feedback system with open loop transfer function
?? (?? ) =
?? ?? (?? +2)
Draw root locus of uncompensated system and also design a lead
compensator using root locus technique to meet the following specifications.
(1) Damping ratio = 0.5
(2) Damped natural frequency = 4 rad/sec
07
Q.4 (a) Explain disadvantages of conventional control theory. 03
(b) Explain about state space modeling. 04
(c) Obtain transfer function from the following system.
?? = [
?3 1
0 ?1
] ; ?? = [
1
1
]; C=[1 1]; D=0
07
OR
Q.4 (a) Explain model matrix. 03
(b) Explain the method to derive transfer function for a system from given state
space model.
04
(c) Derive the solution of state equation by Laplace transform technique. 07
Q.5 (a) Derive z-transform of sampled exponential function x(t) = ?? ?????
03
(b) State and prove final value theorem of the z-transform. 04
FirstRanker.com - FirstRanker's Choice
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? VII (New) EXAMINATION ? WINTER 2019
Subject Code: 2172007 Date: 30/11/2019
Subject Name: Modern Control Systems
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) List advantages of feedback control systems. 03
(b) Explain (i) steady state response (ii) transient response of control systems. 04
(c) What is cascade compensation in control system? Why such compensations
are needed?
07
Q.2 (a) Explain effect of addition of open loop zero on control systems. 03
(b) What is compensation in control systems? Which compensation techniques
are used in practice?
04
(c) Explain design procedure to design cascade lag compensation using root
locus technique.
07
OR
(c) Explain design procedure to design cascade lead compensation using bode
plot technique.
07
Q.3 (a) Explain angle of departure in root locus technique. 03
(b) Explain with suitable example that how stability of a control system can be
determined using root locus of a given control system.
04
(c) Explain various steps to design a lag compensator for a given control system
using bode plot technique.
07
OR
Q.3 (a) Explain phase margin and gain margin. 03
(b) Give comparison between frequency response analysis and time response
analysis of control systems.
04
(c) Consider a unity feedback system with open loop transfer function
?? (?? ) =
?? ?? (?? +2)
Draw root locus of uncompensated system and also design a lead
compensator using root locus technique to meet the following specifications.
(1) Damping ratio = 0.5
(2) Damped natural frequency = 4 rad/sec
07
Q.4 (a) Explain disadvantages of conventional control theory. 03
(b) Explain about state space modeling. 04
(c) Obtain transfer function from the following system.
?? = [
?3 1
0 ?1
] ; ?? = [
1
1
]; C=[1 1]; D=0
07
OR
Q.4 (a) Explain model matrix. 03
(b) Explain the method to derive transfer function for a system from given state
space model.
04
(c) Derive the solution of state equation by Laplace transform technique. 07
Q.5 (a) Derive z-transform of sampled exponential function x(t) = ?? ?????
03
(b) State and prove final value theorem of the z-transform. 04
2
(c) Explain the stability analysis of sampled Data control system using mapping
theorem.
07
OR
Q.5 (a) Explain relationship between z-domain and s-domain. 03
(b) Explain stability determination of a control system in z-plane. 04
(c) Explain pole placement design using state feedback. 07
*************
FirstRanker.com - FirstRanker's Choice
This post was last modified on 20 February 2020