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Yu, Haitao; Wang, Jiang; Deng, Bin; Wei, Xile; Che, Yanqiu; Wong, Y. K.; Chan, W. L.; Tsang, K. M.

Adaptive backstepping sliding mode control for chaos synchronization of two coupled neurons in the external electrical stimulation. (English) Zbl 1239.93059

Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1344-1354 (2012).
Summary: 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.

Cited in 12 Documents

MSC:

93C40 Adaptive control/observation systems
93B12 Variable structure systems
34H10 Chaos control for problems involving ordinary differential equations

Keywords:

chaos synchronization; FitzHugh-Nagumo (FHN) model; gap junction; adaptive backstepping sliding mode control
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References:

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