> 00000AE407121906 Pages: 2

Reg No.: Name:
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

Seventh Semester B.Tech Degree Examination (Regular and Supplementary), December 2020

Course Code: AE407
Course Name: DIGITAL CONTROL SYSTEM
Max. Marks: 100 Duration: 3 Hours
PARTA
Answer any two full questions, each carries 15 marks. Marks

1 a) Explain the difference between analog control system and digital control (5)

b) ‏مس‎ following difference equation by use of Z transform method. (5)
x(k +2) = x(k + 1) + x(k) where x(0) = Gand x(1) = 1

c) Explain the sample and hold device using a suitable diagram. (5)

2 a) Derive the transfer function of first order hold. (7)

b) Explain the mathematical modelling of the sampling process. (8)

3 9) Explain in detail about the mapping between the 5 plane and Z plane for (9)
different loci.
b) Find the inverse Z transform of a causal LTI system with the following transfer (6)

function.
-1 + 22 7
[2] = ರ
− Pod − a2
PART B
Answer any two full questions, each carries 15 marks.
4 ஐ Derive the pulse transfer function of the following system (7)

R(S) Es) = ஈடு G(s) 05)

(8)

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