Adaptive chaotic synchronization through decentralized extended Kalman-type observers

This paper deals with the problem of adaptive observer-based synchronization of chaotic dynamical systems. The proposed approach consists in estimating the states and the unknown parameters in a separate way to reduce computational requirements. A rigorous stability analysis is performed and a judicious parametrization of the algorithm is proposed to enlarge the bassin of attraction with high tracking ability. The results are illustrated by numerical examples of adaptive synchronization of Chua´s system with application to the problem of encoded signal transmission in secure communications.