参数未知的分数阶混沌系统的自适应追踪控制

Adaptive Tracking Control of Fractional Order Chaotic Systems with Unknown Parameters

针对一类参数未知的分数阶混沌系统,基于分数阶系统稳定性理论,通过设计控制器和未知参数辨识规则,研究了混沌系统的自适应追踪控制同步问题;并以分数阶Newton-Leipnik系统为例进行了数值模拟,验证了方法的可行性和有效性。

Based on stability theory of fractional order system, focusing on a class of unknown fractional order chaotic systems, this paper studies adaptive tracking control and synchronization of chaotic systems by designing the controller and unknown parameter identification rules. With numerical simulation of fractional order such as Newton- Leipnik system, the results verifies the feasibility and validity of the method.