Synchronization of uncertain chaotic systems with perturbation based on variable structure control

Synchronization of uncertain nonlinear chaotic systems with perturbation based on variable structure control is investigated. The controller is designed directly for nonlinear system via appropriate switching surface selection such that the system state reaches it in finite time. The estimation of the bounds on system uncertainties and disturbances is given. The proposed controller has strong robustness with respect to perturbation. Simulation results are proposed to demonstrate the effectiveness of the method.