Chaos Synchronization of a fractional-order Modified Van der Pol-Duffing System via New Linear Control, Backstepping Control and Takagi-Sugeno Fuzzy Approaches

被引：29

作者：

Matouk, Ahmed Ezzat ^{[1
]}

机构：

[1] Hail Univ, Fac Sci, Dept Math, Hail 2440, Saudi Arabia

来源：

COMPLEXITY | 2016年 / 21卷 / S1期

关键词：

fractional-order; modified Van der Pol-Duffing system; synchronization; linear control; backstepping technique; Takagi-Sugeno fuzzy model; FEEDBACK-CONTROL; MODEL; BIFURCATIONS; BEHAVIOR; CIRCUIT;

D O I：

10.1002/cplx.21719

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, based on the stability theory of fractional-order systems, chaos synchronization is achieved in the fractional-order modified Van der Pol-Duffing system via a new linear control approach. A fractional backstepping controller is also designed to achieve chaos synchronization in the proposed system. Takagi-Sugeno fuzzy models-based are also presented to achieve chaos synchronization in the fractional-order modified Van der Pol-Duffing system via linear control technique. Numerical simulations are used to verify the effectiveness of the synchronization schemes. (C) 2015 Wiley Periodicals, Inc.

引用

页码：116 / 124

页数：9

共 43 条

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