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IBIEEE-002 1
B.Tech. -VIEP -ELECTRICAL ENGINEERING (BTELVI) Term-End Examination 00816
June, 2016
BIEEE-002 DIGITAL CONTROL SYSTEM
Time: 3 hours Maximum Marks: 70
Note: Attempt any seven questions. All questions carry equal marks. Use of scientific calculator is allowed. Missing data, if any, may be suitably assumed.

1. Consider the sampled data system as shown in the figure with process lag as Td= 0.4. <img src='./qimages/11253-1.jpg'> <br>

Obtain the pulse transfer function. 10

2. Find the inverse Z-transform of 10

f(z) 2z/z^2 1.2z 0.5

3. A discrete time system is described by the transfer function

G(z) a1z a2)

where, a1 a2 1/8
Find the response to the input 10

4. Obtain the state variable model of the given transfer function in first and second companion form 10 4z^3 12z^2 13z .

5. A unity feedback system is characterized by the open loop transfer function

Gho 0.2385(z 0.8760) -0.2644)

The sampling period is T =0.2 sec. Determine the steady state errors for unit step and unit ramp inputs. 10

6. Solve for the equation k 0
where,

r(k) k even
k odd =0. 10

7. Using Jury stability criterion, check if all the roots of the following characteristic equations lie within the unit circle: 10

z^3 1.3 z^2 0.08 z 0.24

8. Prove that the bilinear transformation maps the left half of the s-plane into the unit circle in the z-plane. 10

9. Write short notes on any two of the following: 2x5=10 Controllability and Observability. Max-Min Principle for Optimal Digital Control. Routh Stability Criterion.