Two systems with transfer functions

are connected in parallel.

(a) Use MATLAB to determine the transfer function H(z)of the over-all system.

(b) Use the function tf2ssto obtain state-variable representations for  H₁ (z) and H₂ (z), and the use ss2tfto verify these transfer functions are the transfer functions obtained from the models.

(c) Obtain a state-variable representation for H(z) and compare it  with the one you would obtain from the state variable models  for H₁ (z) and H₂ (z).

0.8 – 0.2z + 0.5z¯ 0.2 Н (2) - Н (2) -1 -2 1+0.5z