Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems

被引：2

作者：

Wang, Chenhui ^{[1
]}

机构：

[1] Xiamen Univ Technol, Coll Appl Math, Xiamen 361024, Peoples R China

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2018年 / 2018卷

基金：

中国国家自然科学基金;

关键词：

STABILITY ANALYSIS;

D O I：

10.1155/2018/3545083

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Some sufficient conditions, which are valid for stability check of fractional-order nonlinear systems, are given in this paper. Based on these results, the synchronization of two fractional-order chaotic systems is investigated. A novel fractional-order sliding surface, which is composed of a synchronization error and its fractional-order integral, is introduced. The asymptotical stability of the synchronization error dynamical system can be guaranteed by the proposed fractional-order sliding mode controller. Finally, two numerical examples are given to show the feasibility of the proposed methods.

引用

页数：9

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