Synchronization of chaotic neurons via variable universe adaptive fuzzy sliding mode control

Author

Che, Yan-Qiu ; Wang, Jiang ; Chan, Wai-Lok ; Tsang, Kai-Ming ; Wei, Xi-Le ; Deng, Bin

Author_Institution

Fac. of Sch. of Electr. Eng. & Autom., Tianjin Univ., Tianjin, China

fYear

2009

Firstpage

577

Lastpage

582

Abstract

In this paper, a hybrid control strategy, variable universe adaptive fuzzy sliding mode control, is proposed to realize the chaos synchronization of two gap junction coupled FitzHugh-Nagumo (FHN) neurons under external electrical stimulation. According to the Lyapunov stability theory, the stability of the closed error system is guaranteed. The control scheme is robust to the uncertainties such as approximate error, ionic channel noise and external disturbances. Chaos synchronization are obtained by proper choice of the control parameters. The simulation results demonstrate the effectiveness of the proposed control method.

Keywords

Lyapunov methods; adaptive control; fuzzy control; neurocontrollers; stability; synchronisation; time-varying systems; uncertain systems; variable structure systems; Lyapunov stability theory; approximate error; chaotic neuron synchronization; closed error system; external disturbance; hybrid control strategy; ionic channel noise; variable universe adaptive fuzzy sliding mode control; Adaptive control; Chaos; Electric variables control; Electrical stimulation; Fuzzy control; Hybrid junctions; Lyapunov method; Neurons; Programmable control; Sliding mode control;

fLanguage

English

Publisher

ieee

Conference_Titel

Asian Control Conference, 2009. ASCC 2009. 7th

Conference_Location

Hong Kong

Print_ISBN

978-89-956056-2-2

Electronic_ISBN

978-89-956056-9-1

Type

conf

Filename

5276291