multiply mimo transfer function in Simulink

Dear all,

I would like to know how I could multiply a matrix to a transfer function as shown in fig1 (essentially connect 2 mimo blocks). R is a 2x2 matrix and G is 2x2 transfer function matrix. Should it be explicitly done as shown in fig2 (where gain blocks are elements of the R matrix)?

Also, I learnt in my control lectures that for mimo systems, if 2 blocks, say R and G are connected in series(in this order), then, their combined block is G*R.

So how do I ensure this is done in simulink?

Answer 1

[M]

In figure 1, EGR is not the sum of the outputs of R11 and R12, but is a vector made of [outputR11 output R12].

So in your simulink file, you don't need the sum component, but just connect the output of R11 to the input of R11, R12 to R21 etc...