Equal-collision-probability-curve method for safe spacecraft close-range proximity maneuvers
| Autor: | Xiaoqian Chen, Gianmarco Radice, Yi Wang, Qing Ni, Yuzhu Bai, Jianjun Xing |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Lyapunov function
Atmospheric Science Computer science Aerospace Engineering 02 engineering and technology Linear-quadratic regulator 01 natural sciences Stability (probability) symbols.namesake 0203 mechanical engineering Control theory 0103 physical sciences 010303 astronomy & astrophysics 020301 aerospace & aeronautics Collision avoidance (spacecraft) Spacecraft business.industry Astronomy and Astrophysics Auxiliary function Function (mathematics) Geophysics Space and Planetary Science symbols Trajectory General Earth and Planetary Sciences business |
| Zdroj: | Advances in Space Research. 62:2599-2619 |
| ISSN: | 0273-1177 |
| Popis: | An equal-collision-probability-curve (ECPC) method is developed in this paper to address the problem of safe spacecraft proximity maneuvers. Considering the uncertainties’ influence, the ECPC, which represents the curve of equal-collision-probability-points in the space around the target spacecraft, is firstly established. It is optimal to maneuver along the gradient direction of the ECPC, which is the fastest change in the ECPC. To calculate this direction, a novel auxiliary function, which has the same gradient direction as the collision probability function, is proposed. Compared to traditional collision probability functions, the proposed function does not contain transcendental elements and hence the computational burden can be greatly decreased while maintaining the necessary accuracy. Then, the safe close-range proximity maneuver generated by ECPC method can be implemented along the estimated gradient direction. Analytical validation is performed to assess the use of such collision avoidance scheme for safety critical operations. Furthermore, an improved Linear Quadratic Regulator (LQR) is designed to track the reference trajectory and a Lyapunov-based analysis verifies the stability of the overall closed-loop system. Numerical simulations show that the novel ECPC method is more computationally efficient than traditional methods while maintaining the same accuracy. Moreover, the novel scheme can be easily validated to guarantee the safety of the mission. |
| Databáze: | OpenAIRE |
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