A combined approach for the identification of continuous nonlinear systems

نویسندگان

  • H. U. Voss
  • H. Rust
  • W. Horbelt
  • J. Timmer
چکیده

The identification of a nonlinear continuous output-only system from a time series is considered for the case that the functional form of the model is not known beforehand. To estimate both functions and parameters, a combination of nonparametric modeling based on nonlinear regression and parametric modeling based on a multiple shooting algorithm is proposed. This strategy to determine nonlinear differential equations is exemplified on experimental data from a chaotic circuit where an accurate reconstruction of the observed attractor is obtained.

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تاریخ انتشار 2003