分数阶四翼超混沌系统的控制与同步

四翼混沌吸引子的系统信号具有较宽的频谱带宽,在保密通信领域中具有重要的应用价值,研究四翼混沌吸引子的同步问题具有重要的意义;研究了一个新的分数阶四翼超混沌系统的控制与同步;基于分数阶系统稳定性定理,设计了非线性控制器实现了系统的镇定;通过构造合适的非线性观测器作为响应系统设计了一个系统同步方案,理论分析与数值模拟均验证了所得结果的准确性与有效性.

Control and Synchronization of Fractional Order Four-winged Hyperchaotic System

The system signal of a four-winged chaotic attractor has relatively wider frequency bandwidth and has important application value in the secret communication field, as a result, the research on the synchronization of four-winged chaotic attractor is of important significance.This paper studies the control and synchronization of a new fractional order four-winged hyperchaotic system, designs a nonlinear controller to implement the stabilization of this system based on the stability theorem of fractional order, and designs a synchronization scheme of this system via constructing a proper nonlinear observer as a response system. Both theoretical analysis and numerical simulation prove the accuracy and validity of the received results.