船舶混沌运动的周期脉冲参数微扰控制

针对海上航行船舶非线性运动中存在的混沌现象,为实现对航行船舶的高精度航向控制,本文将脉冲参数微扰方法与横截同宿点理论相结合,提出了一种基于Melnikov方法的简捷船舶混沌运动周期脉冲参数微扰控制方法.该控制方法利用Melnikov函数确定控制脉冲参量关系及取值范围,基于该方法设计的控制器克服了脉冲参量取值难以确定的不足.仿真结果表明,本文所提方法能将混沌系统快速稳定到不同的周期轨道,具有较好的控制效果.

Periodic impulsive parameter perturbations control for chaotic ship steering

To achieve the high-precision ship course control in chaos conditions existing in nonlinear maneuvering of the sailing ship, we propose a simple periodic impulsive parameter perturbation control based on Melnikov method. Combining the impulsive parameter perturbation method with the transversal homoclinic point theory, we can use Melnikov function to obtain the relationship between the control pulse parameters and their value ranges. The controller based on the proposed method eliminates the disadvantage of unable to determine the values of control pulse parameters. Simulation results are demonstrated, showing that the proposed control method can rapidly stabilize the chaotic system on different periodic orbits.