Repeat Problem 5.4-1 for each of the transfer functions

Problem 5.4-1

Given a closed-loop system described by the transfer function

(a) Express c(k) as a function of r(k), as a single difference equation.

(b) Find a set of state equations for this system.

(c) Calculate the transfer function from the results of part (b), to verify these results.

(d) Verify the results in part (c) using MATLAB.

Transcribed Image Text:

(a) (c) C(z) 0.1z R(z) z - 0.9 c(z) 0.22- R(z) 0.2z - 0.05 Z-0.9 (b) c(z). R(2) 0.1 z - 0.9 C(z) (d) R(z) 0.8z + 0.7 z -1.6z+0.8 2