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

被引：3
|
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.
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收藏
页数：9
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