超混沌系统自周期轨道链接式控制  

Self Periodic Orbits Linking Control for Hyperchaotic Systems

作　　者：卢元元[1] 胡庆彬[1] 丘水生[2] 

机构地区：[1]深圳大学信息工程学院,广东深圳518060 [2]华南理工大学电子与信息学院,广东广州510640

出　　处：《控制与决策》2001年第6期954-957,961,共5页Control and Decision

基　　金：国家自然科学基金项目 (6 9790 2 2 );教育部博士点基金项目 (970 5 6 116

摘　　要：基于混沌同步和周期轨道理论提出一种超混沌系统自周期轨道链接式控制法。从超混沌系统状态变量的时间序列中提取周期轨道并用于对系统的实时控制 ,可使混沌系统稳定运行于某一周期轨道。将提取的周期轨道经链接组合后用于系统控制 ,可得到大量的大周期轨道。对 4阶蔡氏电路进行数字仿真实验 。Based on the chaotic synchronization and periodic orbits theories, a new control method in which a hyperchaotic system is controlled by its own periodic orbits is proposed. Periodic orbits are extracted out from the time series of state variables of a hyperchaotic system and used to the real time control of the system. A hyperchaotic system could be made to run stably in a certain periodic orbit by this method. A large number of long periodic orbits could be obtained by applying the linking combination of the extracted periodic orbits to control the system. The simulation results for 4 order Chuas circuit are quite satisfactory.

关 键 词：超混沌系统 混沌控制 混沌同步 自周期轨道链式控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]