Using Chaotic Attractors to Simulate the Wave Effect on the Ship

摘要

Abstract The paper features the simulation of wave forces and moments acting on the ship for synthesizing the motion control algorithms. The available approaches to describing the wave forces and moments are shown so have some weak points. An alternative approach to wave simulation is proposed, based on chaotic oscillations generated in the dynamical systems of chaotic attractor type. The wave spectral characteristics are analyzed, and criteria to define the major frequency range of the signal spectrum are proposed. It is proposed to compare the major frequency range, signal variance, and distribution characteristics of the simulated process and the wave of the preset frequency and average height under comparison. The known Arneodo and Chen attractors are considered, their spectral properties are studied, and phase patterns are constructed. It is proposed to use an attractor phase coordinate as a magnitude modeling the wave. The vehicle mathematical model is supplemented with the attractor equations, and the process becomes quasistochastic due to the attractor features. The adequacy of the proposed wave model is estimated using the estimates of spectra and distributions. The ship rolling has been simulated using the described approach.