FOMCON (“Frac­tion­al-Order Mod­el­ing and CON­trol”) tool­box for MATLAB is a result of my research of appli­ca­tions of frac­tion­al-order cal­cu­lus to auto­mat­ic control.

The tool­box con­tains sev­er­al mod­ules each pro­vid­ing par­tic­u­lar func­tion­al­i­ty. Apart from the core mod­ule that also con­tains some util­i­ties that could be use­ful even out­side the func­tion­al­i­ty of the tool­box the fol­low­ing mod­ules are available:

  1. The iden­ti­fi­ca­tion mod­ule allows to iden­ti­fy frac­tion­al-order trans­fer func­tion mod­els based on time series or fre­quen­cy domain data;
  2. The con­trol mod­ule that allows to tune frac­tion­al-order PID (pro­por­tion­al-inte­gral-deriv­a­tive) type controllers;
  3. The imple­men­ta­tion mod­ule which helps to deploy the result­ing mod­els and/or con­trollers into actu­al con­trol loops.

Graph­i­cal user inter­faces are imple­ment­ed to sup­port the most impor­tant func­tions of the tool­box. A Simulink block library is also available.

Offi­cial web­site:

Math­Works File Exchange link to the tool­box: