Download GTU B.Tech 2020 Summer 6th Sem 2161707 Control System Design Question Paper

Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Summer 6th Sem 2161707 Control System Design Previous Question Paper

Seat No.: ________
Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER? VI EXAMINATION ? SUMMER 2020
Subject Code: 2161707 Date:27/10/2020
Subject Name: Control System Design
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) Explain state, state variable and state vector with reference to
03
state space.

(b) Compare lead and lag compensation techniques in frequency
04
domain.

(c) Find state space model for RLC series circuit. Consider voltage
07
across capacitor as an output with R = 1K, C=5F and L=2H.
Q.2 (a) Explain diagonal canonical form in state space.
03

(b) Find controllable and observable canonical form for the system
04
with transfer function 2 .
(+1)

(c) Derive condition for complete state controllability of the system.
07
Also find controllability for the system x = Ax + Bu and y =
0
1
0
cx with A=[
], B=[ ] and C = [0 1].
-1 -2
1


OR


(c) Derive condition for complete state observability of the system.
07
Also find observability for the system x = Ax + Bu and y =
0
1
1
Cx with A=[
] , B=[ ] and C=[0 1].
-2 -3
0
Q.3 (a) Find Eigen value for the system x = Ax + Bu and y = cx with
03
A= 0 1
[
].
2
4

(b) Compare conventional and modern control theory.
04

(c) Explain dead beat response with suitable example.
07


OR

Q.3 (a) Explain linear dependence and independence of vectors.
03

(b) Explain lag compensation using root locus technique.
04

(c) Design a suitable compensator for the unity feedback system
07
with open loop transfer function
K
G(s) =
, to meet the
S(S+1)(S+3)
following specifications:
a. Phase margin at least 52 degree
b. Gain margin at least 8 db
c. Velocity error constant at least 6 sec-1
Q.4 (a) Explain need of linear quadratic regulator.
03

(b) Explain lead compensation using root locus technique.
04

(c) Find transfer function of system with following state space
07
representation. Also comment on stability of the system.
0
1
0
A
B C 0
1 D .
1 2
0
1
1

---

OR

Q.4 (a) Explain optimal control system.
03

(b) Explain Lyapunov stability criteria.
04

(c) Discuss about the design of state observer with diagram and
07
equations.
Q.5 (a) Explain the need of robust PID controller.
03

(b) Discuss factors to be considered while designing robust control
04
system.

(c) Find state transition matrix of system with following state space
07
representation. Also state property of state transition matrix.
0
1
0
A
B C 0
1 D .
4
6
0
1


OR
Q.5 (a) Explain Riccatti Equation.
03
(b) Discuss Lag-Lead Compensator design in frequency domain.
04
(c) Discuss design steps for pole placement using Ackerman's
07
formula.

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2

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