一个新混沌系统的自适应模糊同步

本文基于Takagi-Sugeno(T-S)模糊模型,研究了混沌系统的自适应同步。基于T-S模糊模型重构了混沌系统,推导了在衰减率α下,自适应同步全局渐近稳定的充分条件;同时,在驱动系统参数未知的情况下,使用自适应参数调节律,得到响应系统参数的估计值。设计的模糊控制器均由线性函数构成,结构简单,规则少,有利于实际应用中构造控制器。数值仿真结果验证了方法的有效性。

The Adaptive Fuzzy Synchronization Method for a New Chaotic System

Based on the Takagi-Sugeno(T-S) fuzzy model,an adaptive approach for the synchronization of new chaotic systems,with unknown parameters,is studied.A T-S fuzzy dynamical model is employed to reconstruct the chaotic drive and response systems.The sufficient conditions of global asymptotic stability,by giving the definition of decay rate α,are deduced from two reconstructed chaotic systems,of which the structures are the same.Meanwhile,since the parameters of the drive system are assumed unknown,we design the response system that estimate the parameters of the drive system by an adaptive strategy.In addition,since the designed fuzzy controllers are composed of linear functions,with few rules and simple structures,it is easy to construct such controllers in actual applications.Satisfied numerical simulations show the effectiveness and validity of the adaptive fuzzy synchronization method proposed in this paper.