Elaboration of a generalized approach to control and to synchronize the fractional-order chaotic systems

被引：5

作者：

Soukkou, Ammar ^{[1
]}

Leulmi, Salah ^{[2
]}

机构：

[1] Jijel Univ, Fac Sci & Technol, Dept Elect, Jijel, Algeria

[2] Univ August 20th, Dept Elect Power Engn, Fac Technol, Skikda Elect Power Syst Lab, Skikda, Algeria

来源：

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS | 2017年 / 46卷 / 08期

关键词：

Fractional-order controller; BIBO stability; small gain theorem; network controllers; fractional-order hyperchaotic systems; multiobjective optimization; PROJECTIVE SYNCHRONIZATION; DIFFERENTIAL-EQUATIONS; STABILITY ANALYSIS; STABILIZATION; ALGORITHM; DESIGN;

D O I：

10.1080/03081079.2017.1324854

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, a new general optimal structure and parameters of the fractional-order feedback control law (OSP-FoF) is developed for controlling and synchronizing a large class of fractional-order chaotic systems (FoCS). The design of the OSP-FoF model is based on bounded-input bounded-output stabilization arguments, small gain theorem (SGT), and the matrix norms. The proposed model is theoretically rigorous and represents a powerful and simple approach which provides a reasonable trade-off between computational overhead, storage space, numerical accuracy and stability analysis for control and synchronization purposes of FoCS. Simulation results for the stabilization and synchronization of fractional-order hyperchaotic systems demonstrate the effectiveness of this newly proposed approach.

引用

页码：853 / 878

页数：26