Using geometric control and chaotic synchronization to estimate an unknown model parameter

We present a new parameter estimation procedure for nonlinear systems. Such technique is based on the synchronization between the model and the system whose unknown parameter is wanted. Synchronization is accomplished by controlling the model to make it follow the system. We use geometric nonlinear...

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Veröffentlicht in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2005-04, Vol.71 (4 Pt 2), p.047203-047203, Article 047203
Hauptverfasser: Freitas, Ubiratan S, Macau, Elbert E N, Grebogi, Celso
Format: Artikel
Sprache:eng
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Zusammenfassung:We present a new parameter estimation procedure for nonlinear systems. Such technique is based on the synchronization between the model and the system whose unknown parameter is wanted. Synchronization is accomplished by controlling the model to make it follow the system. We use geometric nonlinear control techniques to design the control system. These techniques allow us to derive sufficient conditions for synchronization and hence for proper parameter estimation. As an example, this procedure is used to estimate a parameter of an example serving as a model.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.71.047203