Asymptotic analysis of the mathematical model of a wind-powered vehicle

作者：Klimina Liubov^*; Dosaev Marat; Selyutskiy Yury

来源：Applied Mathematical Modelling, 2017, 46: 691-697.

DOI：10.1016/j.apm.2016.06.022

• Mathematical model
• Wind-powered vehicle
• Dynamical system
• Periodic trajectories
• Stability
• Poincare-Pontryagin approach

Mathematical model of a wind-powered vehicle is proposed. The vehicle uses a wing to convert the energy of an upcoming wind flow into the energy of the mechanical motion in such a way that the vehicle goes against the wind. The corresponding dynamical system is constructed. Parametric analysis of the system is carried out using the Poincare-Pontryagin asymptotic approach. The existence of an attracting steady regime is shown. Boundaries of applicability of asymptotic estimations are analyzed using numerical simulation. Results of the parametric analysis were used for construction of a prototype of such a vehicle. Experiments with this prototype qualitatively agree with the mathematical modeling.

• 出版日期2017-6