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 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 by

Transcribed Image Text:

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