Using predictive control to synchronize chaotic systems

A method of synchronization of several identical chaotic systems using a new type of control was proposed. It is based on predicting the trajectories of each of the nonlinear systems and correcting them by the deviation of the prediction from the desired value. Three types of control with global interaction between the systems, local interaction between the systems, and one leading oscillator affecting the rest of them were proposed. After synchronization, all systems make identical chaotic motions. This method features low level of the control action; in principle, control may be made arbitrarily small. Numerical modeling bore out efficiency of this method for any number of oscillators.

Presented by the member of Editorial Board: L. B. Rapoport