Adaptive synchronization control of coupled chaotic neurons in an external electrical stimulation

In this paper we present a combined algorithm for the synchronization control of two gap junction coupled chaotic FitzHugh-Nagumo （FHN） neurons in an external electrical stimulation. The controller consists of a combination of dynam- ical sliding mode control and adaptive backstepping control. The c...

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Bibliographic Details
Published in:Chinese physics B 2013-05, Vol.22 (5), p.620-625
Main Author: 于海涛 王江 邓斌 魏熙乐 陈颖源
Format: Article
Language:English
Subjects:
Adaptive control systems
Algorithms
Chaos theory
Controllers
Joining
Neurons
Sliding mode control
Stimulation
Synchronism
动态滑模控制
混沌
滑模控制器
电刺激
神经元
耦合
自适应同步控制
自适应控制器
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Summary:In this paper we present a combined algorithm for the synchronization control of two gap junction coupled chaotic FitzHugh-Nagumo （FHN） neurons in an external electrical stimulation. The controller consists of a combination of dynam- ical sliding mode control and adaptive backstepping control. The combined algorithm yields an adaptive dynamical sliding mode control law which has the advantage over static sliding mode-based controllers of being chattering-free, i.e., a suffi- ciently smooth control input signal is generated. It is shown that the proposed control scheme can not only compensate for the system uncertainty, but also guarantee the stability of the synchronized error system. In addition, numerical simulations are also performed to demonstrate the effectiveness of the proposed adaptive controller.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/5/058701