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Posted By: Sree.... Member Level: Diamond Posted Date: 06 Feb 2008
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2007 Andhra Pradesh State Jawaharlal Nehru Technological University B.Tech DIGITAL CONTROL SYSTEMS Set No. 1 Question paper
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Code No: RR420201 Set No. 1
IV B.Tech II Semester Supplementary Examinations, June 2007
DIGITAL CONTROL SYSTEMS
(Electrical & Electronic Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) Explain clearly the advantages and disadvantages of digital control systems.
(b) Draw the schematic diagram of basic digital control scheme and explain the
same.
(c) With suitable diagram explain the weighted resistor digital to analog con-
verter. [5+5+6]
2. (a) Find the Z-transform of the following:
i. f(t) = t2,
ii. f(t) =e- tsin?t
(b) What are the popular methods are used to find the inverse z-transform? Ex-
plain briefly each of them. [8+8]
3. (a) Find Y (z) for the sampled-data closed-loop system of Figure 1.
Figure 1:
(b) Determine the pulse transfer function of two cascaded systems, each described
by the difference equation
y (k) = 0.5y(k-1) + r(k). [8+8]
4. Compare the characteristics of time-domain responses of continuous - time and
discrete - time systems. [16]
5. Consider the digital control system whose transfer function is given by
GH(z) = 0.0952Kz
(z-1)(z-0.905) . Draw the Nyquist plot and determine its stability. [16]
6. (a) Explain the design procedure of digital controller through bilinear transfor-
mation.
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Code No: RR420201 Set No. 1
(b) Explain the digital PID controllers. [8+8]
7. Find state model for the following difference equation. Obtain different canonical
forms. Also draw state diagram for each.
y(k+3) + 5y(k+2) + 7y(k+1) + 3y(k) = 0 [16]
8. (a) Develop relationship between controllability, observability and transfer func-
tions.
(b) Consider a discrete linear discrete - data control system, whose input - output
relation is described by the difference equation
y(k+2)+2y(k+1)+y(k)=u(k+1)+u(k). Test for state controllable and output
controllable. [6+10]
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