利用模糊逻辑控制实现不确定Hénon映射的同步

Synchronization of uncertain Hénon map by fuzzy logic controller

针对带不确定项和外界扰动的Hénon映射,利用模糊逻辑控制理论和Lyapunov稳定性定理对模糊控制器进行了设计,实现了驱动系统和响应系统的渐进同步。为了克服试凑整定方法获取隶属度函数和模糊规则的局限性,利用误差系统的Lyapunov稳定性条件直接构造模糊规则,使得所设计的控制器具有鲁棒性。仿真结果验证了该方法的有效性和实用性。

For the Hénon map with uncertain factors and external disturbance,the fuzzy logic controller was designed to realize the synchronization of a class of master-slave chaos by using the fuzzy logic control theory and Lyapunov stability theory.To overcome the limitation in obtaining the membership functions and fuzzy rules by trial-and-error tuning in the traditional FLC design,a Lyapunov-based robust FLC of chaos synchronization was studied.The simulation results prove that the methods are useful and effective.