基于内力的卫星编队飞行动力学建模

Flying dynamic modeling of satellite formation with internal forces

基于内力的卫星编队飞行凭借良好的性能正日益受到重视,但由于该类编队的控制力对卫星间的相对位置和相对姿态均高度敏感,并且控制力和控制力矩之间存在耦合,给动力学建模带来了很大的挑战.首先,建立了六自由度的内力编队姿轨耦合动力学模型,该动力学模型利用了控制力和控制力矩的耦合效应,可以同时针对编队卫星的相对位置和相应姿态设计相应的控制律,从而实现编队的六自由度协同控制.最后,通过采用伪谱法求解编队构型的重构问题,对该动力学模型进行了验证.

Satellite formation flying with internal forces has attracted great attention for its high performance. How-ever,the control force is highly sensitive to the relative position and relative attitude between satellites,and coupling effect exists between control forces and control torques,both of which pose challenges to building the dynamic model for formations with internal forces.A 6-dof （degree of freedom） relative translational and rotational dynamic model is established in this paper,considering the coupling between control forces and control torques.The cooperative control of relative states between the satellites is realized by designing the control law for both relative position and relative attitude. Finally, the dynamic model is testified through the simulation of formation reconfiguration using the pseudospectral method.