基于自适应模糊逻辑系统的一类混沌系统同步控制

针对一类带有未知函数和干扰的混沌系统，进行了基于自适应模糊逻辑系统的自适应同步控制器的设计。首先基于模糊逼近原理，通过对该混沌系统中未知函数的输入输出进行采样，根据采样数据信息设计出具有参数自适应功能的Mamdani型模糊逻辑系统；然后利用该模糊逻辑系统给出一种带有参数自适应的驱动响应同步控制器设计方法；最后通过数值仿真算例表明了该方法的有效性。

Synchronization control for a class of chaotic systems based on adaptivefuzzy logic systems

For a class of chaotic systems with unknown functions and disturbances, a synchronization controller based on the
adaptive fuzzy logic systems is proposed in this paper. Firstly, based on the universal approximation property of fuzzy logic
systems, the Mamdani type fuzzy logic system with the parameter adaptive laws is designed by utilizing the data information
sampled from the inputs and outputs of unknown functions in the chaotic systems. Then this fuzzy logic system is employed
to synthesize the drive-response synchronization controller with parameter adaptive laws. Finally, the simulation shows the
effectiveness of the proposed method.