参数经局部扰动的分数阶混沌Chen系统的自适应追踪控制与同步(英文)

Adaptive Synchronization of Perturbed Chen's Fractional-order Chaotic Systems via Adaptive Feedback Control

针对Chen混沌系统,研究了参数经局部扰动的混沌系统的自适应同步。基于分数阶系统的稳定定理和自适应反馈控制,设计了自适应反馈控制器和未知参数的辨识规则,实现了参数经局部扰动的分数阶Chen混沌系统同给定信号的同步。数值仿真证实了所设计的控制器及未知参数的辨识规则的有效性。

The adaptive synchronization between one fractional-order Chen＇s systems with partly perturbed parameters and the drive system are investigated.Based on the ideas of feedback control and stability theory of fractional-order systems,synchronization between these two chaotic systems is achieved by proposing a new adaptive feedback controller and a parameter estimation update law.Numerical simulations are presented to demonstrate the analytical results.