The Impact of Fractional Order Control on Multivariable Systems

In this work a fractional order filter proportional integer (FOF-PI) controller is proposed for the control of multivariable system which is a distillation column model. In addition to the design of fractional controller, a comparison between integer controller employing the most used method the biggest log modulus (BLT) and the internal model control (IMC) with the fractional method. The purpose of this comparison is to improve the quality control and show the superiority and the increase of flexibility by the additional fractional parameter of the fractional control. An analyzed study between performance indices of the three methods as the overshoot, settling time, integral absolute error (IAE) and rise time is exhibited. The simulation graphs of the outputs provided by the three used controllers are presented to confirm the results and show the improvement in the control of multivariable system domain by the fractional method.