Obtaining state space from transfer functions

[Liferider]

1. The problem statement
I have a MIMO system with two inputs and two outputs. I have all transfer functions between inputs and outputs. I want to obtain a state space model that describes this system. All transfer functions are of 3rd degree.

Homework Equations

"Transfer matrix":
H_P(s)=[H11, H12; H21, H22]

H11=\frac{1}{100s^3+80s^2+17s+1}

H12=\frac{0.5}{100s^3+80s^2+17s+1}

H21=\frac{4.8}{5s^3+13.5s^2+7.5s+1 }

H22=\frac{16}{5s^3+13.5s^2+7.5s+1 }

 

[Liferider]

Solved it :-D

I created two equations for the outputs which resulted in two 3rd degree ODE's. From these two equations I created 6 states, where only two of them was of any interest to me, so I put those two states in the measurment equation of the state space model.