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Q.3
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The weighting sequence of a linear discrete data system is given as | |
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| with T = 1 second | ||
| (i) determine G(z) and (ii) with the input r(kT) equal to kT find C (z). |
(7+7) | |
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Q.4 a.
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Discuss the different methods used for determining the stability of digital control systems. | (6) |
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b.
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The characteristic equation of a certain closed loop system
is given as |
(8) |
| Determine whether or not any of the roots of P(z) lie outside the unit circle in the z plane. Use bilinear transformation and modified Routh's stability criterion. | ||
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Q.5 a.
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Using Jury's test examine the stability of a closed loop discrete
system whose characteristic equation is given as  |
(14) |
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Q.6
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For the closed loop system given in Fig.4 design a suitable
controller that gives dead beat response for unit step input, with  |
(14) |
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PART II
Answer any THREE Questions. Each question carries 14 marks. |
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Q.7
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The state space description of a certain discrete-time system is given as | |
 |
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where  |
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| (i) Examine the complete observability of the system. (ii) Determine the transfer function  by
first obtaining  .
Thus give comments on the sufficient condition for complete observability.
|
(8+6) | |
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3
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