分数阶Lorenz系统的混沌控制方法

A control approach of fractional ordered Lorenz dynamical system

分数阶混沌系统已经引起了人们的广泛关注,论文研究了分数阶Lorenz系统的混沌控制方法,基于分数阶线性系统平衡点渐近稳定性理论,利用反馈控制方法得到了分数阶Lorenz系统混沌控制器设计方案,结合预估校正方法设计算法进行数值仿真,验证了所得方案的有效性.

The chaotic dynamics of fractional ordered systems have attracted much attention recently.The paper considered the control approach of fractional ordered Lorenz dynamical system.Based on the stability of linear fractional systems,utilizing variable feedback control method,the control approach of fractional ordered Lorenz dynamical system was given.By using predictor-corrector numerical methods,simulations on the Lorenz and controlled systems were presented to verify the results.