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arXiv · 2407.17944

Time-Optimal Planning for Long-Range Quadrotor Flights: An Automatic Optimal Synthesis Approach

Chao Qin·Jingxiang Chen·Yifan Lin·Abhishek Goudar·Angela P. Schoellig·Hugh H. -T. Liu
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Abstract

Time-critical tasks such as drone racing typically cover large operation areas. However, it is difficult and computationally intensive for current time-optimal motion planners to accommodate long flight distances since a large yet unknown number of knot points is required to represent the trajectory. We present a polynomial-based automatic optimal synthesis (AOS) approach that can address this challenge. Our method not only achieves superior time optimality but also maintains a consistently low computational cost across different ranges while considering the full quadrotor dynamics. First, we analyze the properties of time-optimal quadrotor maneuvers to determine the minimal number of polynomial pieces required to capture the dominant structure of time-optimal trajectories. This enables us to represent substantially long minimum-time trajectories with a minimal set of variables. Then, a robust optimization scheme is developed to handle arbitrary start and end conditions as well as intermediate waypoints. Extensive comparisons show that our approach is faster than the state-of-the-art approach by orders of magnitude with comparable time optimality. Real-world experiments further validate the quality of the resulting trajectories, demonstrating aggressive time-optimal maneuvers with a peak velocity of 8.86 m/s.

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Chao Qin, Jingxiang Chen, Yifan Lin, Abhishek Goudar, Angela P. Schoellig, Hugh H. -T. Liu. 2024-07-25. Time-Optimal Planning for Long-Range Quadrotor Flights: An Automatic Optimal Synthesis Approach. https://arxiv.org/abs/2407.17944

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