Generalized synchronization in reduced-order by quasi-continuous high-order sliding-mode controllers

In this paper, the interest is the generalized synchronization in reduced-order for chaotic systems, i.e. the synchronization of the states of a slave system with a canonical projection of a different master system. A control approach, which involves an exact robust differentiator and a quasi-continuous high-order sliding mode-controller, is proposed for the above purpose. In this manner, the generalized synchronization in reduced-order is achieved in spite of mismatches between master and slave models. Results of the synchronization scheme performance are illustrated by means of simulations.