Reg No.:

Max. Marks: 100

ری

a)

b)

०)

8)

b)

a)

b)

a)

b)

a)

b)

00000AE4071218)3ime:
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
Seventh semester B.Tech examinations (S), September 2020

Course Code: AE407
Course Name: -DIGITAL CONTROL SYSTEM

PART A
Answer any two full questions, each carries 15 marks.
What is a discrete data control system? Briefly explain such a system with the

help of a block diagram.
What is zero order hold? Derive the expression for transfer function of zero
order hold.
State sampling theorem. What is the significance of Nyquist frequency in
sampling process?
Draw the input output relation and the quantization error plot for an 8-bit
truncation quantizer and explain the following terms.
1. Quantization

11. Quantization level

111. Quantization error
State and prove the final value theorem in z-transform.
Solve the difference equation y(k + 2)+0.4y(k + 1) + 0.11(4) = (0.5൦ using z-
transform. Given y(0) = 0, y(1) = 0.

k
Find the 2 transform of the sequence (4) = 6 for k=0, 1,2

‎..٠‏ ولل و1 و

‎PART B
Answer any two full questions, each carries 15 marks.
Determine the stability of the system using Jury’s stability test for the

‎characteristic equation P(z) = z* —1.2z* + 0.072 +0.32- 0.08 = 0

‎Write short note on the stability analysis of digital control system using Routh-
Hurwitz criterion.

‎Derive the expression for acceleration error constant and velocity error constant
of a Type 0 digital system.

‎Explain the procedure for stability analysis using Bode plot.

‎Page lof2

‎Duration: 3 Hours

‎Marks

‎(5)

‎(7)

‎(3)

‎(10)

‎(5)
‎(9)

‎(6)

‎(10)

‎(5)

‎(10)

‎(5)