How to write the matlab codes for the following transfer function

T(z)=(5-G(z)*z^-5)/(1-5*G(z)*z^-5);

where G(z) is a separate transfer function in Z domain.

Answer 1

[Aquatris]

Assuming G(z) is a SISO(single input-single output) system, here is the code;

z = tf('z');
G = z/(z+1);
T = minreal(5-G*z^-5)/(1-5*G*z^-5);

You need to specify the sample time of the system by simply modifying the code;

z = tf('z',dt)