Question: Repeat Problem 2.10-2 for the system described by (a) Find the transfer function Y(z)/U(z). (b) Using any similarity transformation, find a different state model for

Repeat Problem 2.10-2 for the system described by10 2 (6 85 / (4) + / 3 /-(4) 0 0.5 x (k+ 1) = y (k)=[ 1 2 ]x (k)


(a) Find the transfer function Y(z)/U(z).


(b) Using any similarity transformation, find a different state model for this system.


(c) Find the transfer function of the system from the transformed state equations.


(d) Verify that A given and Aw derived in part

(b) satisfy the first three properties of similarity transformations. The fourth property was verified in part (c).


Problem 2.10-2

Consider the system described by1 (* + 1) = [ 0 ] (*) + [ (*) 3 y (k)=[-2 1 ]x(k)


10 2 (6 85 / (4) + / 7 / 0(4) 0 0.5 x (k+ 1) = y (k)=[ 1 2 ]x (k)

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