分数阶Froude摆系统的混沌同步

Chaos Synchronization of Fractional-Order Froude Pendulum Systems

以Lyapunov稳定性理论和分数阶微积分为理论基础,研究了分数阶Froude摆系统的同步问题,给出了实现系统同步的方案。在该方案下,适当地选取控制律,可以使分数阶Froude摆系统的主从系统取得混沌同步,给出的数值仿真表明可行性和有效性。

Based on Lyapunov stability theory and fractional calculus theory,the synchronization problem of fractional Froude pendulum systems is studied.The research conclusion illustrated that the master-slave systems for fractional-order Froude systems is chaos synchronization under proper conditions.Numerical simulations example of chaotic system verify the effectiveness of the proposed method.