% define the LTI system by tf
% G(z)=(z+1)/(z-1)/(z-0.5) 
% and then draw the step response

% define the coef of the numerator of the tf
num_z=[1 1];
den_z=[1 -1.5 0.5];
Ts1=0.5;
G_z=tf(num_z,den_z,Ts1);

Tf=10;
figure
step(G_z,Tf)
hold on
grid on