Synchronization of the Extended Bonhoffer-Van der Pol Oscillators

被引：0
|
作者：
Zribi, Mohamed [1 ]
Alshamali, Saleh [1 ]
机构：
[1] Kuwait Univ, Dept Elect Engn, Safat 13060, Kuwait
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2012年 / 2012卷
关键词：
BACKSTEPPING CONTROL; CHAOS; SYSTEMS;
D O I：
10.1155/2012/962680
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper deals with the synchronization of two extended Bonhoffer-Van der Pol (B-VDP) oscillators. A Lyapunov-based controller and a sliding mode controller are proposed for the synchronization of the oscillators. Both design schemes use a single input controller acting on one state only. Asymptotic stability results for the closed-loop system are derived using Lyapunov theory. It is shown that the proposed controllers effectively synchronize the driver and the response systems for the case when nominal values of the system parameters are used, and for the case when parameter perturbations are introduced. Simulation results are presented to show the effectiveness of the proposed controllers.
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页数：14
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