控制噪声环境中的超混沌与混沌系统（英文）

Controlling Hyper-Chaotic and Chaotic Dynamics in Noisy Environment

中文关键词  混沌  超混沌  最优控制  噪声  扰动

英文关键词  chaos  hyper chaos  optimal control  noise  perturbations

中文摘要

      考虑了噪声环境中的超混沌与混沌的离散动力系统的控制问题, 提出了一种普遍适用的控制方法. 基于混沌吸引子里的轨道的遍历性质, 利用最优控制方法快速引导系统轨道进入给定的目标轨道的邻域里; 同时增加一个反馈校正器以抑制噪声的干扰, 使得系统的轨道不至于偏离最优参考轨道太远. 当系统轨道进入给定的目标轨道的邻域后, 再设计一个简单的小扰动控制器稳定控制系统运行在目标轨道上. 仿真表明, 本文的综合控制方法快速、有效.

英文摘要

      We consider the problem concerning the control of the discrete time chaotic and hyper chaotic dynamical systems in noisy environment. Due to the ergodicity property of orbits in the chaotic attractors, including chaos and hyper chaos, an optimal control is presented to direct the orbit of the discrete time chaotic dynamical system quickly towards a pre specified neighbourhood of the target, and feedback correction is added to deal with noise. After entering the neighbourhood in which the local controller is effective, the controller consisting of small perturbations is used to stabilize the orbit in the system. The numerical simulations of controlling two typical chaotic dynamical systems, one chaotic and the other hyper chaotic, show that the combined method is effective for a wide range of discrete time chaotic and hyper chaotic dynamics.