Two new techniques to synchronize phase planar systems using discontinuous feedback

We present two algorithms to synchronize second order systems that can be described by phase state variables, we call them phase planar systems. We use the master slave configuration and the synchronization objective is to obtain identical synchronization between the master and slave systems in spite of the existence of external perturbations and parametric variations. We use discontinuous control techniques to design the coupling signal that produce sliding modes of first and second order. These discontinuous controllers render the closed loop system robust with respect to matched bounded disturbances and to terms produced by parametric variations. The performance of the proposed synchronization techniques are illustrated experimentally.