Output observer for chaos synchronization applications

This article introduces the concept of output observer to chaos synchronisation applications. Here output observer is understood as a low order system designed to estimate a single measured variable of a higher order system only. In this work we show how this notion can be used to evaluate nonlinear systems with single output, being a chaotic state variable used as an example. Following this point a Duffing oscillator is used as a model. We show how a lower order observer can be employed to accurately estimate nonlinear time series dynamics.