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Periodic impulsive parameter perturbations control for chaotic ship steering
船舶混沌运动的周期脉冲参数微扰控制

Keywords: chaotic ship steering,chaos control,impulsive control,parameter perturbation,Melnikov method
船舶混沌运动
,混沌控制,脉冲控制,参数微扰,Melnikov方法

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Abstract:

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.

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