Exponential nonlinear observer for parametric identification and synchronization of chaotic systems

Lizeth Torres (1, 2) , Gildas Besancon (2, 3) , Didier Georges (2) , Cristina Verde (1)

1 Instituto de Ingeniería [Mexico]
2 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité
3 IUF - Institut universitaire de France

This work proposes the use of a new exponential nonlinear observer for the purpose of parametric identification and synchronization of chaotic systems. The exponential convergence of the observer is guaranteed by a persistent excitation condition. This approach is shown to be suitable for a wide variety of chaotic systems. In order to illustrate the observer design procedure, several examples with simulation results are presented.

Mots clés: Chaotic systems; Parameter estimation; Synchronization; Extended Kalman filter; High gain observer

Domaines: Automatique / Robotique

Lizeth Torres, Gildas Besancon, Didier Georges, Cristina Verde. Exponential nonlinear observer for parametric identification and synchronization of chaotic systems. Mathematics and Computers in Simulation, 2012, 82 (5), pp.836-846. ⟨10.1016/j.matcom.2011.12.003⟩. ⟨hal-00756209⟩