Research on tracking control method for chaotic signal with random perturbations

Using adaptive tracking control, we investigate a class of the perturbed chaotic systems with unknown parameters based on Lyapunov stability theory, where both the bound of random perturbations of chaotic signal and the feedback strength of the controller are estimated through an adaptive control process respectively, so they are not necessarily known in advance. It is shown that this adaptive approach makes the perturbed chaotic signal track any desired reference signal. In the end, the perturbed Lorenz chaotic system is simulated to verify the effectiveness of the proposed scheme.