A novel fractional sliding mode control configuration for synchronizing disturbed fractional-order chaotic systems

被引：22

作者：

Rabah, Karima ^{[1
]}

Ladaci, Samir ^{[2
]}

Lashab, Mohamed ^{[3
]}

机构：

[1] 20th August 1955 Univ Skikda, Dept Elect Engn, Skikda 21000, Algeria

[2] Natl Polytech Sch Constantine, Dept EEA, BP 75A, Ali Mendjeli 25100, Constantine, Algeria

[3] Univ Larbi Ben MHidi Oum El Bouaghi, Dept Sci & Technol, Oum El Bouaghi 04000, Algeria

来源：

PRAMANA-JOURNAL OF PHYSICS | 2017年 / 89卷 / 03期

关键词：

Sliding mode control; chaos synchronization; fractional-order chaotic system; Lyapunov stability; DYNAMICS; DESIGN;

D O I：

10.1007/s12043-017-1443-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a new design of fractional-order sliding mode control scheme is proposed for the synchronization of a class of nonlinear fractional-order systems with chaotic behaviour. The considered design approach provides a set of fractional-order laws that guarantee asymptotic stability of fractional-order chaotic systems in the sense of the Lyapunov stability theorem. Two illustrative simulation examples on the fractional-order Genesio-Tesi chaotic systems and the fractional-order modified Jerk systems are provided. These examples show the effectiveness and robustness of this control solution.

引用

页数：13

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