基于脉冲同步的混沌系统自适应参数估计

Adaptive Parameter Estimation of Chaotic Systems Based on Impulsive Synchronization

针对一类参数不确定混沌系统,提出了一种基于脉冲同步的自适应参数估计方法,给出了脉冲控制增益和参数自适应律的解析表达式,从理论上证明了该方法可以准确估计出参数不确定混沌系统的所有未知参数.以Lorenz混沌和Ueda振荡器系统为例,数值模拟证明了该方法的有效性.

An adaptive parameter estimation method based on impulsive synchronization is proposed for a class of chaotic systems with uncertain parameters. Analytical expressions of the adaptive rules for impulsive controlling gain and parameters are obtained, and it is proved theoretically that the proposed method can accurately estimate all unknown parameters of the chaotic systems with uncertain parameters. The Lorenz system and Ueda oscillator system are taken as examples to illustrate the effectiveness of the proposed method through numerical simulations.