Synchronizing chaotic dynamics with uncertainties using a predictable synchronization delay design

This paper deals with synchronization and optimization problems of second-order chaotic oscillators by applying a novel control scheme. The approach developed considers incomplete state measurements and no detailed model of the systems to guarantee robust stability. This approach includes an uncertainty estimator and leads to a robust predictable feedback control scheme. The synchronization of the ϕ6-Duffing and ϕ6-Van der Pol oscillators was used as an illustrative example. A fairly good agreement is obtained between the analytical and numerical results.