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Synchronisation of two different uncertain fractional-order chaotic systems with unknown parameters using a modified adaptive sliding-mode controller

Authors
  • Almatroud, A. Othman1
  • 1 University of Ha’il, Ha’il, Kingdom of Saudi Arabia , Ha’il (Saudi Arabia)
Type
Published Article
Journal
Advances in Difference Equations
Publisher
Springer International Publishing
Publication Date
Feb 19, 2020
Volume
2020
Issue
1
Identifiers
DOI: 10.1186/s13662-020-02548-6
Source
Springer Nature
Keywords
License
Green

Abstract

This article investigates a modified adaptive sliding-mode controller to achieve synchronisation between two different fractional-order chaotic systems with fully unknown parameters. A suitable parameter updating law is designed to tackle the unknown parameters. For constructing the modified adaptive sliding-mode control, a simple sliding surface is designed and the stability of the suggested method is proved using Lyapunov stability theory. Finally, the proposed method is applied to gain chaos synchronisation between two different pairs of fractional-order chaotic systems with uncertain parameters. Numerical simulations are performed to demonstrate the robustness and efficiency of the proposed method.

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