Predictive control of fractional-order chaotic systems

Stabilizing an unstable equilibrium point in a fractional-order chaotic system is studied using prediction-based feedback method in this paper. Sufficient conditions for stabilization of equilibrium points are explicitly given and rigorously proven. The proposed approach is effective and easy to be...

Full description

Saved in:
Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2016-06, Vol.87, p.307-313
Main Authors: Zheng, Yongai, Ji, Zhilin
Format: Article
Language:English
Subjects:
Chaotic systems
Equilibrium point
Fractional calculus
Predictive control
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Stabilizing an unstable equilibrium point in a fractional-order chaotic system is studied using prediction-based feedback method in this paper. Sufficient conditions for stabilization of equilibrium points are explicitly given and rigorously proven. The proposed approach is effective and easy to be implemented, but its application is limited to systems with no external disturbances and uncertainties in the model description. Numerical simulations show the effectiveness of the method.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2016.04.014