A combined approach for the identification of continuous non‐linear systems | Zendy

Voss H. U. | Zendy; Rust H. | Zendy; Horbelt W. | Zendy; Timmer J. | Zendy

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A combined approach for the identification of continuous non‐linear systems

Author(s) -

Voss H. U.,

Rust H.,

Horbelt W.,

Timmer J.

Publication year - 2003

Publication title -

international journal of adaptive control and signal processing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.73

H-Index - 66

eISSN - 1099-1115

pISSN - 0890-6327

DOI - 10.1002/acs.750

Subject(s) - identification (biology) , computer science , system identification , data mining , biology , botany , measure (data warehouse)

The identification of a non‐linear 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 non‐parametric modelling based on non‐linear regression and parametric modelling based on a multiple shooting algorithm is proposed. This strategy to determine non‐linear differential equations is exemplified on experimental data from a chaotic circuit where an accurate reconstruction of the observed attractor is obtained. Copyright © 2003 John Wiley & Sons, Ltd.

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