title: Using geometric control and chaotic synchronization to estimate an unknown model parameter.
abstract: 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.
authors.affiliation: Laboratório Associado de Computação e Matemática Aplicada, Instituto Nacional de Pesquisas Espaciais, Caixa Postal 515, 12227-010, São José dos Campos, São Paulo, Brazil. ubiratan@lac.inpe.br
authors.forename: Ubiratan S
authors.initials: US
authors.lastname: Freitas
authors.forename: Elbert E N
authors.initials: EE
authors.lastname: Macau
authors.forename: Celso
authors.initials: C
authors.lastname: Grebogi