剛体ペイロードの協調軌道輸送に向けた分散型二層最適化
Decentralized Bi-Level Optimization for Cooperative Orbital Transportation of a Rigid Payload
小型宇宙機群で大型物体を軌道上輸送するため、推力を内側の凸最適化、ペイロードのトルク軌道を外側探索とする分散型二層フレームワークを提案し、厳密な勾配で燃料効率良く解き、故障からの復帰も検証した。
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著者: Sidhdharth D. Sikka, Revathy Ravuri, Hei Yin Jowett Chan, Tim Echtermeyer, Shaoshuai Mou
分類: eess.SY, cs.MA, cs.RO
原文アブストラクト
The rapid growth of the space economy, alongside increasing orbital congestion and debris, is driving demand for reliable on-orbit transportation of large and non-cooperative objects. Performing such transportation with a swarm of small spacecraft distributes risk and removes the single point of failure inherent to monolithic architectures, but requires solving a non-convex trajectory optimization coupling every agent's cone-constrained thrust to the payload's rotational dynamics. Existing approaches span decentralized control laws with asymptotic guarantees but limited constraint enforcement, and centralized and partially centralized planners that reintroduce a single point of failure. In this work, we present a decentralized bi-level framework driven by exact gradients: the problem is split into an inner convex thrust allocation and an outer search over payload torque trajectories. This decomposition yields fuel-efficient solutions quickly, without requiring full NLP convergence, and at short timescales its performance scales with the number of agents. Theoretical convergence guarantees are established, and the method is validated through extensive Monte Carlo simulation, including closed-loop recovery from in-flight faults. These properties make the framework well suited to spacecraft swarm applications.