MATLAB: How to represent a multiple input and single output (MISO) transfer function in MATLAB

Question

An example is a tf model of the form y(t)=(0.3s-10)/(s^2+21.8s+60) u_1 (t) + (0.8s+72.3)/(s^2+21.8s+60) u_2 (t). y(t) is the system output while u_1 (t) and u_2 (t) are both system inputs.

Answer 1

You can create your model as below:

 Numerator = {[0.3 -1] [0.8 72.3]}; %Numerators of u_1 and u_2
 Denominator = {[1 21.8 60] [1 21.8 60]}; %Denominators of u_1 and u_2
 H = tf(Numerator,Denominator); %creates a transfer function

You can check more examples here: https://www.mathworks.com/help/control/ug/mimo-transfer-function-models.html