An observer for the synchronization of chaotic Liouvillian systems: A real-time application to Chua´s oscillator

This work deals with the master-slave synchronization of chaotic oscillators with Liouvillian properties (chaotic Liouvillian system) based on nonlinear observer design. The strategy consists of proposing a polynomial observer (slave system) which tends to follow exponentially the chaotic oscillator (master system). The proposed technique is applied in the synchronization of Chua´s circuit using Matlab-Simulink^® and Matlab^®-LMI programs. Experimental results are shown to visualize and illustrate the effectiveness of the proposed observer.