Robust Fractional Order Controller for Chaotic Systems

Djalil Boudjehem and BadreddineBoudjehem.

Volume 49, Issue 9, 2016

IFAC-PapersOnLine

https://doi.org/10.1016/j.ifacol.2016.07.525

Abstract

In this paper, we propose a robust fractional controller structure to control chaotic systems. The fractional controller structure is based on the predictive control of chaotic systems. The parameters of the controller are obtained by minimizing the error state energy. 

Simulation results on Chen and Lorenz chaotic systems show the effectiveness of the proposed controller to reject the noise and the disturbance injected to these systems states. These results show also that the proposed controller gives better results than the standard predictive control.

Keywords

Fractional calculus,predictive control,chaotic systems,noise perturbation rejection