Constrained multivariable dynamic matrix control for a class of fractional-order system

The aim of this paper is to control a fractional-order system with model predictive controller by using numerical calculations. In this article, we propose a numerical method based on the Mittag-Leffler function for obtaining the step response of the fractional-order system, then a dynamic matrix controller (DMC) is designed for a multivariate fractional-order system, which is a two-input and two-output system to show the effect of the controller. To perform better tracking and small overshoot the constrained DMC is used. Constraints are based on limiting the outputs and control efforts. The numerical calculations and the controllers design are developed using MATLAB tool. Finally, it is shown that a fractional-order system can be controlled with a DMC controller.