【摘要】 针对一个新型四维整数阶混沌系统,设计合适的线性反馈控制器,实现分数阶超混沌系统的所有状态向量与不同信号的追踪同步,并以追踪三角波信号、任意不动点以及整数阶超混沌Qi系统等为例,将分数阶混沌信号控制到期望的周期轨道或平衡点,以及实现分数阶混沌系统与整数阶混沌系统的异结构追踪同步,这为混沌系统在保密通信等方面的应用提供了技术基础.另外,基于Multisim10电路软件,设计分数阶超混沌系统的电路图以及反馈控制器的电路模块,进行电路模拟,从而证实了理论分析和数值仿真的有效性.更多还原

【Abstract】 In this paper,a new fractional-order four dimensional system is firstly investigated numerically by using frequency domain technique.Based on the stability theory of the fractional-order system,a linear feedback controller is designed to make full states of the fractional order system to track control all kinds of signals,including chaotic signals and non-chaotic signals.Here sinusoidal waves,arbitrarily fixed point and Qi chaotic system are chosen as examples.The technique provides a foundation for the application of chaotic system in secure communications.In addition,the electronic circuits are designed to realize the tracking control for this novel fractional system using Multisim10.The results are presented to demonstrate the effectiveness of the proposed method.更多还原