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.
| Original language | English |
|---|---|
| Pages (from-to) | 1344-1354 |
| Number of pages | 11 |
| Journal | Communications in Nonlinear Science and Numerical Simulation |
| Volume | 17 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Mar 2012 |
Keywords
- Adaptive backstepping sliding mode control
- Chaos synchronization
- FitzHugh-Nagumo (FHN) model
- Gap junction
ASJC Scopus subject areas
- Numerical Analysis
- Modelling and Simulation
- Applied Mathematics