基于参数自适应延时反馈的混沌系统控制及应用

针对延迟反馈法参数较难确定的问题,给出了一种自适应调节反馈系数方法来控制非线性Lorenz混沌系统的方案.数值仿真结果表明,选择适当的延迟时间和反馈系数能够控制系统的不稳定周期轨道、消除混沌,并能使系统从失稳状态进入稳定状态.由于不需要外加参考信号,可以在混沌态的任意时刻施加控制,所以该方法简单易行.同时将以上控制效果应用于动画的控制中,对指定动画角色行为进行控制,使其可以运动到混沌的轨道上或者某一个特殊的轨迹上.

Chaotic system control based on self adapted parameter time delayed feedback and its application

Aiming at the problem that the time-delayed feedback parameters are not easily confirmed,this paper presented a control scheme,i.e.,time-delayed feedback control through the self-adapted method of adjusting feedback coefficient,to control the nonlinear Lorenz chaotic system.Numerical simulation results showed that the unstable periodic orbits of the system could be ballasted,the chaos could be eliminated via choosing proper delayed time and gain coefficient,and the system could be changed from unstable to stable.Because the additional reference signal is not necessary,and because the control actions can be exerted at any time in the chaotic state,so the presented method is simple and easy to implement.At the same time,the presented control scheme was applied to the control of animation,and the various cartoon roles could be controlled and moved along chaotic orbits or a certain special track.