一个基于标量观测辨识Lorenz混沌系统参数的滑动模设计方法

A Slide Mode Design Method for Estimating Parameter From a Scalar Time Series for Lorenz Chaotic System

提出一种利用Brunowsky规范形来设计合适的滑模解决基于标量观测辨识Lorenz混沌系统参数问题。把系统状态方程变为一般Brunowsky规范形,利用该规范形和估计参数的相对度设计合适的滑模观测器,该观测器能与主系统实现完全同步或部分变元同步,从而获得参数的自适应估计。

We suggest a slide mode design--based approach for chaos ~, synchronization and parameter estimation from a scalar time series for nonlinear dynamical systems. A prerequisite, We transform the master system into a general Brunowsky canonical form, where the scalar time series functions as the model output. Then we construct a slaver to syn- chronize partially with the master by using slide mode design method and prove that the slide mode can be reached, and keep the partial variables on this slide mode. Step by step, the designed observer variables synchronize with the corresponding master variables within finite times as desired.