Design of synchronization based on adaptive observer using an augmented error

Abstract

This paper considers the problem of signal transmission by means of a pair of synchronized chaotic systems. The authors introduce a design method of an adaptive observer for estimating the unknown parameters and discuss a new method to realize a stable system that sends the message with an arbitrary relative degree. To realize the new method, they propose an augmented error method. The results are illustrated by an example based on Chua's circuits.