Identification of 4D Lu hyper-chaotic system using identical systems synchronization and fractional adaptation law

被引：5
作者：
Abedini, Mohammad [1 ]
Gomroki, Mehdi [1 ]
Salarieh, Hassan [1 ]
Meghdari, Ali [1 ]
机构：
[1] Sharif Univ Technol, Ctr Excellence Design Robot & Automat, Dept Mech Engn, Tehran, Iran
来源：
APPLIED MATHEMATICAL MODELLING | 2014年 / 38卷 / 19-20期
关键词：
System identification; Chaos synchronization; Fractional order dynamics; Lu hyper-chaotic system; Adaptive control; PARAMETER-IDENTIFICATION; ADAPTIVE SYNCHRONIZATION;
D O I：
10.1016/j.apm.2014.03.020
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the parameters of a 4D Lu hyper-chaotic system are identified via synchronization of two identical systems. Unknown parameters of the drive system are identified by an adaptive method. Stability of the closed-loop system with one state feedback controller is studied by using the Lyapunov theorem. Also the convergence of the parameters to their true values is proved. Then a fractional adaptation law is applied to reduce the time of parameter convergence. Finally the results of both integer and fractional methods are compared. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：4652 / 4661
页数：10
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