集合値測定不確かさを考慮した推定認識型軌道最適化
Estimation-Aware Trajectory Optimization with Set-Valued Measurement Uncertainties
状態依存の集合値測定不確かさを考慮し、推定精度を最大化する軌道を生成する最適化フレームワークを提案。視覚推定や衛星ランデブーに応用。
著者: Aditya Deole, Mehran Mesbahi
分類: math.OC, cs.RO, cs.SY, eess.SY
原文アブストラクト
In this paper, an optimization-based framework for generating estimation-aware trajectories is presented. In this setup, measurement (output) uncertainties are state-dependent and set-valued. Enveloping ellipsoids are employed to characterize state-dependent uncertainties with unknown distributions. The concept of regularity for set-valued output maps is then introduced, facilitating the formulation of the estimation-aware trajectory generation problem. Specifically, it is demonstrated that for output-regular maps, one can utilize a set-valued observability measure that is concave with respect to the finite horizon state trajectories. By maximizing this measure, estimation-aware trajectories can then be synthesized for a broad class of systems. Trajectory planning routines are also examined in this work, by which the observability measure is optimized for systems with locally linearized dynamics. To illustrate the effectiveness of the proposed approach, representative examples in the context of trajectory planning with vision-based estimation are presented. Moreover, the paper presents estimation-aware planning for an uncooperative Target-Rendezvous problem, where an Ego-satellite employs an onboard machine learning (ML)-based estimation module to realize the rendezvous trajectory.