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Synchronization of Fractional-Order Chaotic Systems with Model Uncertainty and External Disturbance

被引：8
|
作者：
Guo, Rongwei [1 ]
Zhang, Yaru [1 ]
Jiang, Cuimei [1 ,2 ]
机构：
[1] Qilu Univ Technol, Sch Math & Stat, Shandong Acad Sci, Jinan 250353, Peoples R China
[2] Qilu Univ Technol, Natl Supercomp Ctr Jina, Shandong Artificial Intelligence Inst, Shandong Acad Sci,Shandong Comp Sci Ctr, Jinan 250101, Peoples R China
来源：
MATHEMATICS | 2021年 / 9卷 / 08期
关键词：
complete synchronization; fractional-order systems; uncertainty; disturbance; dynamic feedback control method; STABILIZATION; HYPERCHAOS;
D O I：
10.3390/math9080877
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with complete synchronization of fractional-order chaotic systems with both model uncertainty and external disturbance. Firstly, we propose a new dynamic feedback control method for complete synchronization of fractional-order nominal systems (without both uncertainty and disturbance). Then, a new uncertainty and disturbance estimator (UDE)-based dynamic feedback control method for the fractional-order systems with both uncertainty and disturbance is presented, by which the synchronization problem of such fractional-order chaotic systems is realized. Finally, the fractional-order Lorenz system is used to demonstrate the practicability of the proposed results.
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收藏
页数：12
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