摘要
基于混沌细胞模型理论,提出适用于单核单涡旋混沌系统的定平面折返控制法.让混沌系统的运动轨线在确定的平面折返,并用一线性系统取代混沌系统作折返运动,从而大大降低了系统的随机性.适当选择折返平面,可控制混沌系统稳定运行于某些周期轨道上.用该控制方法对多个典型混沌系统进行数字仿真实验,获得了稳定的周期1、周期2和周期4轨道.
Based on the cell model theory of chaotic systems, a new control method for the chaotic system with 1-core single-scroll attractor is proposed. Making chaotic system orbits recurve from a determinate plane and replacing the system with a linear system for the recurving movement will greatly reduce the randoms of chaotic system movement. By choosing properly recurving planes, the system can run stably in some periodic orbits. The method is verified by the simulations of many typical chaotic systems. The period-1 orbits, period-2 orbits and period-4 orbits are obtained from the simulation experiments.
出处
《控制与决策》
EI
CSCD
北大核心
2005年第1期113-116,共4页
Control and Decision
基金
国家自然科学基金项目(90207012)
深圳市科技项目(200330).
关键词
混沌细胞模型
混沌控制
周期轨道
折返控制
Computer simulation
Linear systems
Numerical methods
Recursive functions