Synchronization of chaotic dynamic systems via nonlinear observers

The main goal of this chapter is to introduce some nonlinear techniques for the synchronization of a class of chaotic oscillator under the framework of observer design from control theory. The proposed methodologies are applied under the assumption of a masterslave synchronization configuration for nonlinear oscillators with the same topological structure. The named slave system is analyzed as a state observer where corresponding measured output injection or feedback tries to cancel the upper bounds of the corresponding nonlinearities and imposing the corresponding trajectories of the master system in order to achieve the synchronization. To illustrate the performance of the considered synchronization methodologies, numerical experiments were carried out to show the performance of the proposal.