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

U S Freitas, E E N Macau, C Grebogi

Research output: Contribution to journalArticle

34 Citations (Scopus)


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.

Original languageEnglish
Article number047203
Number of pages4
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Issue number4
Publication statusPublished - Apr 2005



  • time-series
  • systems

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