The system described by the equations (a) Use (2-89) to solve for x(k), k 0. (b) Find
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The system described by the equations![x(*+1) = 10 0 0.5 (1) + [2]) 1](https://dsd5zvtm8ll6.cloudfront.net/images/question_images/1705/4/0/5/60465a66ca491f921705405603515.jpg)
![y(k)= [1 2]x(k) is excited by the initial conditions x(0)=[-1 2 with u(k) = 0 for all k.](https://dsd5zvtm8ll6.cloudfront.net/images/question_images/1705/4/0/5/64565a66ccdae31f1705405644684.jpg)
(a) Use (2-89) to solve for x(k), k ≥0.
(b) Find the output y(z) .
(c) Show that Φ(k) in (a) satisfies the property Φ(0) = I.
(d) Show that the solution in part (a) satisfies the given initial conditions.
(e) Use an iterative solution of the state equations to show that the values y(k) , for k = 0, 1, 2, and 3, in part (b) are correct.
Equation 2-89
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z11 1 A 03 zI A A z 11z 03z05z06 a zIA 21A 03211 k 221A 5 ...View the full answer
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Related Book For 
Digital Control System Analysis And Design
ISBN: 9780132938310
4th Edition
Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty
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