Majors simulation softwares like Scilab/Xcos or MAtlab/Simulink work with state-space model. So write a state-space model of your controller and implement it this way.

I cannot be more precise without more details.

I think that the response to your question may be in this Book Edited by Jose Rodriguez et al

PREDICTIVE CONTROL OF POWER CONVERTERS AND ELECTRICAL DRIVES

Jose Rodriguez and Patricio Cortes

you can use Arduino due or st discovery card or Dspace which is easier than the others