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Phys. Rev. E 71, 047203 (2005) [4 pages]

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

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Ubiratan S. Freitas1 *, Elbert E. N. Macau1 †, and Celso Grebogi2
1Laboratório Associado de Computação e Matemática Aplicada, Instituto Nacional de Pesquisas Espaciais, Caixa Postal 515, 12227-010, São José dos Campos, São Paulo, Brazil
2Instituto de Física, Universidade de São Paulo, 05315-970 São Paulo, São Paulo, Brazil

Received 1 October 2004; published 27 April 2005

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.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevE.71.047203
DOI: 10.1103/PhysRevE.71.047203
PACS: 05.45.Gg, 05.45.Xt

* Electronic address: ubiratan@lac.inpe.br
† Electronic address: elbert@lac.inpe.br

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