Robust Synchronization of Fractional-Order Arneodo Chaotic Systems Using a Fractional Sliding Mode Control Strategy-Reference-Cited by-同舟云学术

Robust Synchronization of Fractional-Order Arneodo Chaotic Systems Using a Fractional Sliding Mode Control Strategy

Published:2018 Issue: Volume: Page:1-22
ISSN:2327-039X
Container-title:Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems
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Author:

Ladaci Samir¹,Rabah Karima²,Lashab Mohamed³

Affiliation:

1. National Polytechnic School of Constantine, Algeria

2. 20th August 1955 University of Skikda, Algeria

3. University Larbi Ben M'Hidi of Oum El-Bouaghi, Algeria

Abstract

This chapter investigates a new control design methodology for the synchronization of fractional-order Arneodo chaotic systems using a fractional-order sliding mode control configuration. This class of nonlinear fractional-order systems shows a chaotic behavior for a set of model parameters. The stability analysis of the proposed fractional-order sliding mode control law is performed by means of the Lyapunov stability theory. Simulation examples on fractional-order Arneodo chaotic systems synchronization are provided in presence of disturbances and noises. These results illustrate the effectiveness and robustness of this control design approach.

Publisher

IGI Global

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