基于能量最优的多约束小卫星碰撞规避控制

Collision Avoidance Control of Small Satellites with Multiple Constraints Based on Energy Optimization

针对小卫星间近距离碰撞的问题,提出一种多约束下的能量最优的碰撞规避控制。采用轨道力学和数学表征法建立惯性系下的小卫星轨道动力学模型和约束模型,根据上述模型制定碰撞规避策略,通过数值分析给出最优的轨道系下的控制方向和控制时刻,利用坐标系变换获得惯性系的控制方向,依据霍曼变轨理论给出最优条件下的速度增量。数学仿真给出有约束的碰撞规避轨迹,证明设计的碰撞规避算法的有效性和可行性。

A multi-constrained collision avoidance control based on energy optimal is proposed to solve the problem of small satellite collision. Orbital dynamic model and constrained model of small satellite in the inertial system were established based on orbital mechanics and mathematical characterization, collision avoidance strategy was formulated according to the constraint model. The optimal control direction and control moment in the orbital coordinates were given by numerical analysis, then the control direction of inertial system was determined by coordinate transformation. The velocity increment under the optimal condition was given according to the Hohmann orbit theory. The simulation results show the constrained collision avoidance trajectory, which proves the effectiveness and feasibility of the collision avoidance algorithm.