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

SUN Xi-ping,FU Youg-zhi(Hubei Automobile Industries Institute,Shiyan 442002,China)  
We suggest a slide mode design-based approach for chaos办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 synchronize 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.
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