船舶航向保持中的混沌运动控制

Chaotic ship maneuvering control in course-keeping

针对船舶航行中的混沌运动控制问题,从船舶操纵运动非线性模型入手,提出了一种基于受控混沌系统Melnikov函数的矩形脉冲微扰控制方法。控制方法利用矩形脉冲对混沌系统参量进行微扰控制。通过求解混沌系统的同宿轨道,构造受控混沌系统的Melnikov函数,结合Melnikov函数简单零点出现的边界条件以数学的方法确定微扰脉冲参数的取值,避免了实施混沌控制时控制脉冲参数选择的盲目性。船舶混沌运动控制的仿真实验显示,所提方法能将系统混沌运动快速稳定至周期轨道上,且其振幅降为原混沌系统的8.5%;同时实验结果表明了所提方法在船舶混沌运动控制中的有效性。

Concerning the problem of chaotic maneuvering control for sailing ship, a rectangular impulsive parametric perturbation control method based on the Melnikov function of controlled chaotic system was proposed through the non-linear ship steering model. The proposed method perturbed the chaotic system parameters by using rectangular pulse. Through solving the chaotic system＇s homoclinic orbit and constructing the Melnikov function of controlled chaotic system, the value range of the pulse parameters was fixed by mathematic method with reference to the simple zero boundary conditions of Melnikov function, and this method avoided blindly choosing the pulse parameters when controlling chaos. The experiments for the chaotic ship steering control show that, the proposed method can stabilize the chaotic system to periodic orbits, and amplitude of the stabilized system is only 8.5% of the original system. The experimental results demonstrate the effectiveness of the proposed method for the chaotic ship steering control.