Download PTU B.Tech 2020 March EEE 7th and 8th Sem Non Linear And Digital Control System Question Paper

Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) ) BE/BTech EEE (Electrical And Electronics Engineering) 2020 March 7th and 8th Sem Non Linear And Digital Control System Previous Question Paper

1 | M-57056 (S2)-2772
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
B.Tech. (EEE) (Sem.?8)
NON-LINEAR AND DIGITAL CONTROL SYSTEM
Subject Code : EE-404
M.Code : 57056
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION-A
1. Write briefly :
a) Discuss the advantages of state space approach over transfer function approach.
b) Explain the term Observability.
c) Write down the condition for a system to be Controllable.
d) Discuss any two properties of nonlinear systems.
e) What are limit cycles?
f) Draw the characteristics of an ideal and an actual relay.
g) Explain dead zone with a suitable example.
h) What do you mean by a positive definite function?
i) How can you convert an analog signal into a digital signal?
j) What are the limitations of Z transform?

SECTION-B
2. Draw the state diagram and obtain the state equation for the following transfer function :
G(s) =
4( 2)
( 3)( 4)
s
s s s
?
? ?

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1 | M-57056 (S2)-2772
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
B.Tech. (EEE) (Sem.?8)
NON-LINEAR AND DIGITAL CONTROL SYSTEM
Subject Code : EE-404
M.Code : 57056
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION-A
1. Write briefly :
a) Discuss the advantages of state space approach over transfer function approach.
b) Explain the term Observability.
c) Write down the condition for a system to be Controllable.
d) Discuss any two properties of nonlinear systems.
e) What are limit cycles?
f) Draw the characteristics of an ideal and an actual relay.
g) Explain dead zone with a suitable example.
h) What do you mean by a positive definite function?
i) How can you convert an analog signal into a digital signal?
j) What are the limitations of Z transform?

SECTION-B
2. Draw the state diagram and obtain the state equation for the following transfer function :
G(s) =
4( 2)
( 3)( 4)
s
s s s
?
? ?

2 | M-57056 (S2)-2772
3. Draw the phase portrait of the following system :
0.5 0 ? ? ? ? ? ?
? ? ?

4. Find out the describing function for deadzone nonlinearity.
5. An autonomous system is expressed as follows :
1 2
x x ? ?
2 1 2 2 1
? ? x m x m x ? ?
Study the stability of the system using Lyapunov?s method and considering the
Lyapunov?s function as :
2 2
1 2
W x x ? ?
6. Write a short note on Jury?s stability test.

SECTION-C
7. A closed loop control system is shown below :

Fig.1
Determine the output in discrete form when a unit step is applied to the input.
8. a) How can you find out Lyapunov?s function by with Variable gradient method?
b) Write a short note on discrete form of PID controller.
9. Write short notes on :
a) Sampled data systems
b) Phase plane analysis
NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
ZOH
1
+1 s
1
s
Sampler with
T = 1s
r t ( )
e t ( )
+
?
o t ( )
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