期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 17, 期 3, 页码 1344-1354出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2011.07.009
关键词
Chaos synchronization; FitzHugh-Nagumo (FHN) model; Gap junction; Adaptive backstepping sliding mode control
类别
资金
- National Natural Science Foundation of China [61072012, 50707020, 60901035, 50907044]
- Hong Kong Polytechnic University [G-U488]
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.
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