对提出的新型超混沌Lü系统,研究了其分数阶混沌系统,通过数值仿真和电路实验,证实了分数阶超混沌Lü系统的混沌行为.利用分数阶系统稳定性理论,设计简单的线性反馈控制器,成功地实现了分数阶超混沌Lü系统的所有状态向量与正弦信号和任意不动点的追踪控制.仿真结果表明了该方法的有效性.
This paper studies the fractional-order Lü system which has been presented recently,and designed an electronic circuit to realize it. The hyper-chaotic behavior of the fractional-order Lü system is verified by numerical simulation and circuit experiment. Based on the stability theory of the fractional-order system,a simple linear feedback controller is designed to make full states of a fractional order Lü system to track control sinusoidal waves or arbitrarily fixed point. The simulation results are presented to demonstrate the effectiveness of the proposed method.