多旋翼固定翼无人机多体动力学建模

Modeling and Simulation for Multi-Rotor Fixed-Wing UAV Based on Multibody Dynamics

精确的动力学模型将为无人机的设计与控制提供指导。对多旋翼固定翼无人机进行动力学建模,基于多体动力学思路将其划分为机翼、机体、多旋翼、垂尾、平尾和舵面的多刚体系统,分别针对每个刚体进行动力学建模,通过虚功形式将各刚体质心处的力和力矩导入第二类拉格朗日方程,选取四元数作为广义坐标,引入拉格朗日乘子推导并建立该无人机动力学模型,最终通过数值仿真与实验结果对比表明该动力学模型能够准确反映无人机动态变化过程,为该无人机的控制提供指导。

Accurate dynamic modeling lays foundation for design and control of UAV. The dynamic model for the multi-rotor fixed-wing UAV was looked into and it was divided into fuselage, air-body, multi-rotors, vertical fin, vertical tail and control surfaces, based on the multibody dynamics. The force and moment model for each body was established and derived into the Lagrange equation of the second king by virtual work. By electing quaternion as generalized coordinate and introducing Lagrangian multiplier, the dynamic modeling was deduced and established. Finally, the comparison between the simulation results and the experimental can be found that the present dynamic model accurately describes the process of dynamic change of this UAV and lay foundation for the control of UAV.