引导混沌运动到周期运动的自适应控制策略

提出一种自适应控制策略，对控制参数作线性反馈将非线性动力系统由混沌运动引导到指定的周期运动．所解决的关键问题是将反馈控制强度的确定转化为扩维相空间中的极点配置问题．给出了将该策略用于控制Ｌｏｇｉｓｔｉｃ映射和受迫Ｄｕｆｉｎｇ振子的仿真．

AN ADAPTIVE CONTROL STRATEGY FOR DIRECTING CHAOTIC MOTION TO PERIODIC MOTION

The paper presents an adaptive control strategy for directing the chaotic motion of a nonlinear system to a periodic motion through the linear feedback of a control parameter. The key problem solved is to choose the control stiffness in the feedback by means of the pole assignment of linearized controlled system in an extended state space spanned by the system state and the system parameter. The paper gives the simulations of recovering the fixed point of the Logistic map and the periodic orbit of a harmonically forced Duffing oscillator from the chaos due to a large disturbance in the control parameter. The simulations demonstrate well the efficacy and the advantages of the adaptive control strategy.