由倍周期分叉走向混沌的Logistic Map及其控制器设计  

LOGISTIC MAP OF PERIOD-DOUBLING BIFURCATION LEADING TO CHAOS AND ITS CONTROLLER DESIGN

作　　者：王晓华[1] 敬忠良[1] 姚晓东[1] 邹俊忠[1] 

机构地区：[1]上海交通大学航空航天信息与控制研究所,电子信息学院上海200030

出　　处：《信息与控制》2001年第4期318-321,共4页Information and Control

摘　　要：详细讨论了 L ogistic Map映射由倍周期分叉走向混沌的过程 ,并根据离散系统 Devaney混沌定义 (以μ=4为例 )证明该映射确实发生了混沌 ,最后基于反馈方法提出了一种简单实用的混沌控制方法 .无论对于定值控制 ,还是随动控制 ,仿真结果表明本文提出的控制方法都优于文献The period double bifurcation leading to chaos of Logistic map is discussed in detail. The chaos behavior of Logistic Map for μ =4 is proven according to the chaos definition of Devaney for discrete system. A simple chaos control method is presented based on the feedback control principle. The results of simulation show that the performance of the presented chaos control method is better than that of the inverse system method in \ whether to constant control or to following control.

关 键 词：倍周期分叉 反馈控制 混沌控制 控制器 设计 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]