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This manuscript examines the spacecraft rendezvous pursuit-evasion scenario, employing the relative fuel consumption between two spacecraft as the optimization objective. Anchored in Pontryagin’s Minimum Principle, the saddle point control strategy is deduced, revealing that the control laws converge to be identical at the saddle point. Considering the difficulty caused by discontinuities due to the potential glider coast phase of the aircraft, the time-optimal solution is leveraged as a preliminary solution to enhance the resolution of this issue, followed by the application of the L-BFGS-B algorithm to facilitate further optimization. The simulation outcomes substantiate the efficacy of this approach in addressing the challenge effectively. Additionally, the study elucidates that, when considering relative fuel consumption, one can optimally harness the gliding phase subsequent to the shutdown of propulsion system realizing fuel conservation alongside the attainment of mission goals.

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Saddle-Point Strategy in Spacecraft Pursuit-Evasion Game with Relative Fuel Consumption Consideration

  • 会议论文

  • 发表日期：

    2025年

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  • Yanwei Zhu,
  • Chengming Zhang,
  • Leping Yang

摘要

This manuscript examines the spacecraft rendezvous pursuit-evasion scenario, employing the relative fuel consumption between two spacecraft as the optimization objective. Anchored in Pontryagin’s Minimum Principle, the saddle point control strategy is deduced, revealing that the control laws converge to be identical at the saddle point. Considering the difficulty caused by discontinuities due to the potential glider coast phase of the aircraft, the time-optimal solution is leveraged as a preliminary solution to enhance the resolution of this issue, followed by the application of the L-BFGS-B algorithm to facilitate further optimization. The simulation outcomes substantiate the efficacy of this approach in addressing the challenge effectively. Additionally, the study elucidates that, when considering relative fuel consumption, one can optimally harness the gliding phase subsequent to the shutdown of propulsion system realizing fuel conservation alongside the attainment of mission goals.