Chaotic synchronization between oscillators using robust GPI control

We tackle the problem of synchronization of two oscillators as a control problem. The system to control is taken as a chain of integrators control where the remainder of the dynamics is considered as an additive disturbance. This disturbance is locally approximated by a m-order time polynomial and then it is cancelled out by means of a robust Generalized Proportional Integral controller. Two examples are shown. The first one is a Duffing system as a reference and a controlled Van Der Pol as a tracker, and the second example is the synchronization of two Rosslerpsilas systems. Some numerical results are shown.