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This work presents a solution for continuous low-thrust Collision Avoidance Maneuver (CAM) by using the Gauss pseudospectral method, considering the position error and constrained by the Square Mahalanobis Distance (SMD). To simplify the CAM model, the error covariance matrix in the natural state is used to replace the covariance matrix which changes in real time during iteration. Then the feasibility of this alternative scheme is verified by defining the directional similarity and shape similarity between the two covariance matrices. Finally, according to SMD and 3σ ellipse, the algorithm of optimal control path guessing and the endpoint constraints of state variables are designed to improve the computational efficiency. A simulation example is presented, and the results meet the corresponding constraints.

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Low-Thrust Collision Avoidance Maneuver Design Considering Square Mahalanobis Distance Constraint

  • 会议论文

  • 发表日期：

    2025年

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  • Mengdie Huang,
  • Shuang Li

摘要

This work presents a solution for continuous low-thrust Collision Avoidance Maneuver (CAM) by using the Gauss pseudospectral method, considering the position error and constrained by the Square Mahalanobis Distance (SMD). To simplify the CAM model, the error covariance matrix in the natural state is used to replace the covariance matrix which changes in real time during iteration. Then the feasibility of this alternative scheme is verified by defining the directional similarity and shape similarity between the two covariance matrices. Finally, according to SMD and 3σ ellipse, the algorithm of optimal control path guessing and the endpoint constraints of state variables are designed to improve the computational efficiency. A simulation example is presented, and the results meet the corresponding constraints.