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.
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页码：4652 / 4661
页数：10
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