基于非线性反馈控制的高维混沌系统同步

Synchronization of High Dimensional Chaotic System Based Nonlinear Feedback Control

采用非线性控制系统的微分几何理论 ,将原混沌系统进行输入 输出部分线性化 ,并结合极点配置方法 ,在一定的假设前提下 ,设计了一个实现高维混沌系统同步控制的反馈控制器 ,该方法可用于同步由单个状态变量或多个状态变量线性或非线性组合形成的多输出信号的同步·所提出的控制器的设计方法简单、直观 ,并且具有相当的灵活性 ,可适用于相当广泛的非线性系统 。

By making the original system partial input output linearized, a controller based on differential geometry theory of nonlinear control system and pole placement method was designed and applied to synchronize multi output signals of high dimensional chaotic system. By using the proposed method, the multi output signals comprising linear or nonlinear composition of single or multiple state variables of the chaotic system can be synchronized. The controller is easy to practice and adaptive to a lot of nonlinear systems. The effectiveness of the proposed method was tested by computer simulation.