Adaptive backstepping sliding mode control for chaos synchronization of two coupled neurons in the external electrical stimulation

被引：47

作者：

Yu, Haitao ^{[1
]}

Wang, Jiang ^{[1
]}

Deng, Bin ^{[1
]}

Wei, Xile ^{[1
]}

Che, Yanqiu ^{[1
]}

Wong, Y. K. ^{[2
]}

Chan, W. L. ^{[2
]}

Tsang, K. M. ^{[2
]}

机构：

[1] Tianjin Univ, Sch Elect Engn & Automat, Tianjin 300072, Peoples R China

[2] Hong Kong Polytech Univ, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Chaos synchronization; FitzHugh-Nagumo (FHN) model; Gap junction; Adaptive backstepping sliding mode control;

D O I：

10.1016/j.cnsns.2011.07.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a robust control system combining backstepping and sliding mode control techniques is used to realize the synchronization of two gap junction coupled chaotic FitzHugh-Nagumo (FHN) neurons in the external electrical stimulation. A backstepping sliding mode approach is applied firstly to compensate the uncertainty which occur in the control system. However, the bound of uncertainty is necessary in the design of the backstepping sliding mode controller. To relax the requirement for the bound of uncertainty, an adaptive backstepping sliding mode controller with a simple adaptive law to adapt the uncertainty in real time is designed. The adaptive backstepping sliding mode control system is robust for time-varying external disturbances. The simulation results demonstrate the effectiveness of the control scheme. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1344 / 1354

页数：11

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