Question: Consider the system described by (a) Find the transfer function Y(z)/U(z). (b) Using any similarity transformation, find a different state model for this system. (c)

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

1 (* + 1) = [ 0 ]*(*) + [ (*) 3 y (k) = [-2 1] x(k)

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