滑模控制实现受噪声干扰超混沌Lorenz-Stenflo系统的同步

摘要

This paper investigates the synchronization problem between two unidirectionally-coupled LorenzStenflo hyperchaotic system with noise perturbation. It is proved theoretically that the synchronization between such noise-perturbed systems can be implemented by choosing a novel proportional-integral sliding mode surface and designing a sliding mode controller. Numerical simulations show the effectiveness of the theoretical analysis, being robust to the dismatched noise disturbances.%对受噪声干扰的超混沌Lorenz-Stenflo系统的同步问题进行了研究.在设计一种新型比例积分滑模流形的基础上,选取了只含一个控制项的滑膜控制器,根据滑模控制理论证明在此控制器下受噪声干扰的超混沌Lorenz-Stenflo系统能实现同步,并用陡峭的连续饱和函数代替不连续的符号函数,消除了同步过程中的抖动.数值模拟结果表明:该滑模控制器能有效实现混沌同步,且对不匹配的噪声干扰具有强的鲁棒性.