Synchronization of perturbed chaotic systems via nonlinear control

Chaos synchronization of systems with perturbations was investigated. A generic nonlinear control scheme to realize chaos synchronization of systems was proposed. This control scheme is flexible and practicable, and gives more freedom in designing controllers in order to achieve some desired performance. With the aid of Lyapunov stability theorem and partial stability theory, two cases were presented: 1) Chaos synchronization of the system without perturbation or with vanishing perturbations; 2) The boundness of the error state for the system with nonvanishing perturbations satisfying some conditions. Finally, several simulations for Lorenz system were provided to verify the effectiveness and feasibility of our method. Compared numerically with the existing results of linear feedback control scheme, the results are sharper than the existing ones.