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
收藏
页码：116 / 124
页数：9
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