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

Haitao Yu, Jiang Wang, Bin Deng, Xile Wei, Yanqiu Che, Y. K. Wong, Wai Lok Chan, K. M. Tsang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

51 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)1344-1354
Number of pages11
JournalCommunications in Nonlinear Science and Numerical Simulation
Issue number3
Publication statusPublished - 1 Mar 2012


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

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

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