Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/17025
Title: Adaptive backstepping sliding mode control for chaos synchronization of two coupled neurons in the external electrical stimulation
Authors: Yu, H
Wang, J
Deng, B
Wei, X
Che, Y
Wong, YK
Chan, WL 
Tsang, KM 
Keywords: Adaptive backstepping sliding mode control
Chaos synchronization
FitzHugh-Nagumo (FHN) model
Gap junction
Issue Date: 2012
Publisher: Elsevier Science Bv
Source: Communications in nonlinear science and numerical simulation, 2012, v. 17, no. 3, p. 1344-1354 How to cite?
Journal: Communications in Nonlinear Science and Numerical Simulation 
Abstract: 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.
URI: http://hdl.handle.net/10397/17025
DOI: 10.1016/j.cnsns.2011.07.009
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