非合作目标自主交会对接的椭圆蔓叶线势函数制导

Ellipse Cissoid-Based Potential Function Guidance for Autonomous Rendezvous and Docking with Non-Cooperative Target

针对非合作式航天器自主交会对接任务的安全性要求,提出了一种基于椭圆蔓叶线的人工势函数制导方法。首先根据视线坐标系建立了相对动力学方程与状态方程。进而应用人工势函数制导方法解决了非合作目标航天器自主交会对接与静态障碍物躲避问题,并且把势函数方法与椭圆蔓叶线函数相结合,解决了追踪航天器在接近目标航天器时运行在安全走廊中的安全性要求。应用Lyapunov稳定性理论证明了在所提出的制导方法控制下系统的稳定性。最后,用精确的数学模型进行了计算机数值仿真,验证了所提出的制导控制方法的正确性和有效性。

An Ellipse Cissoid-based artificial potential function guidance method is proposed in consideration of security of autonomous rendezvous and docking with a non-cooperative target spacecraft in this paper. The relative dynamics and equations of state are described in a line-of-sight coordinate frame. Artificial potential function guidance is used for autonomous rendzvous and docking with no-cooperative target and static obstacles avoidance. Then the guidance method is combined with Ellipse Cissoid to ensure the security that a chaser spacecraft approaches to a non-cooperative target within safe approaching corridor. Stability of the proposed method is analyzed and proved by Lyapunov’s theory. Finally,the numerical simulation results based on a accurate mathematic model demonstrate validity and effectiveness of the guidance approach proposed.