PTU B.Tech ECE 5th Semester May 2019 58022 NON LINEAR AND SAMPLED DATA CONTROL SYSTEMS Question Papers

PTU Punjab Technical University B-Tech May 2019 Question Papers 5th Semester Electronic and Communication Engineering (ECE-EIE)

Roll No.
Total No. of Pages : 02
Total No. of Questions : 09
B.Tech.(EIE) (2011 & Onwards) (Sem.?5)
NON LINEAR AND SAMPLED DATA CONTROL SYSTEMS
Subject Code : EI-303
M.Code : 58022
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1.
SECTION-A is COMPULSORY consisting of TEN questions carrying T WO marks
each.
2.
SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3.
SECTION-C contains T HREE questions carrying T EN marks each and students
have to attempt any T WO questions.

SECTION-A
1.
Answer briefly :

(a) What are the advantages of state space over transfer function?

(b) Discuss the effect of pole-zero cancellation on the system observability.

(c) State the conditions for completely controllable system.

(d) A simple mass, spring and viscous friction system shown in figure 1. Comments on its

stability.
x
k
m
b

Fig.l.

(e) Write down the advantages of digital control system.

(f) Define state transition matrix

(g) If f(t) =sin (t), what is its Laplace and Z-transform?

(h) Define Backlash, Dead zone, and Saturation.

(i) What is meant by adaptive control?
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(j) What are the limitations of Piecewise linear approximation and phase plane method.
SECTION-B
Q2. A feedback system is characterized by the closed-loop transfer function :
s 6
T (s)

(s 3) (s 2)

Draw and state variable diagram for this system and obtained state space model by series
decomposition.
Q3. Find the inverse Z transform of :
2
4z 2z
Y (z)

3
2
z 5z 8z 4
Q4. Explain the Krasovskii's method of constructing Liapunov functions for Nonlinear systems.
Q5. Obtain the transfer function and frequency response of zero order hold?
Q.6. Check if all the roots of characteristic equation lie within the unit circle?
2z4 ? 7z3 + 10z2 + 4z +1 = 0

SECTION-C
Q7. Define observability of the system. List down the methods used for the testing of
observability. Comment on the observability of the system described the following state
equation :
x
0
1
0 x 0
1
1






x
0
0
1
x
0 u
2
2






x
0 2 3 x 1
3

3

Q8. State and prove the direct method of Liapunov for stability analysis of linear system. Find
out the stability of the system defined by the following equation using Liapunov direct
method.
1

2
x
x


1
4



Q9. Write a short note on :

(a) Fuzzy Logic Controller

(b) Describing Function
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.
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