Experimental Synchronization by Means of Observers

Abstract

In this paper we deal with the experimental synchronization of the Colpitts oscillator in a real-time implementation. Ourapproach is based on observer design theory in a master-slave configuration thus, a chaos synchronization problemcan be posed as an observer design procedure, where the coupling signal is viewed as a measurable output and aslave system is regarded as an observer. A polynomial observer is used for synchronizing the Colpitts oscillatoremploying linear matrix inequalities. Finally, a comparison with a reduced order observer and a high gain observer isgiven to assess the performance of the proposed observer.