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軌道計画arXiv:2304.10954

3次元レーストラックにおけるオンライン時間最適軌道計画

Online Time-Optimal Trajectory Planning on Three-Dimensional Race Tracks

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3次元トラック形状や速度制限を考慮し、車両状態から時間最適な軌道をオンラインで生成する手法を提案。オフラインのレーシングラインと同等のラップタイムを再現し、追い抜き時などにも対応可能。

著者: Matthias Rowold, Levent Ögretmen, Ulf Kasolowsky, Boris Lohmann

分類: cs.RO

原文アブストラクト

We propose an online planning approach for racing that generates the time-optimal trajectory for the upcoming track section. The resulting trajectory takes the current vehicle state, effects caused by \acl{3D} track geometries, and speed limits dictated by the race rules into account. In each planning step, an optimal control problem is solved, making a quasi-steady-state assumption with a point mass model constrained by gg-diagrams. For its online applicability, we propose an efficient representation of the gg-diagrams and identify negligible terms to reduce the computational effort. We demonstrate that the online planning approach can reproduce the lap times of an offline-generated racing line during single vehicle racing. Moreover, it finds a new time-optimal solution when a deviation from the original racing line is necessary, e.g., during an overtaking maneuver. Motivated by the application in a rule-based race, we also consider the scenario of a speed limit lower than the current vehicle velocity. We introduce an initializable slack variable to generate feasible trajectories despite the constraint violation while reducing the velocity to comply with the rules.

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