Robust Chaos Synchronization for Chua’s Circuits via Active Sliding Mode Control

In this paper, we construct, in presence of model uncertainties and external disturbances, a robust active sliding controller to achieve master slave synchronization for Chua’s circuits. The master circuit is considered as a nominal system whereas parameter uncertainties affect the slave system. Using a Lyapunov approach and a reaching condition in the sliding surface, it will be shown that finite time synchronization can be guaranteed under an explicit relation between control parameters and the level of uncertainties. Numerical simulations are presented to estimate robustness of the proposed approach.