Trajectory Optimization with Global Yaw Parameterization for Field-of-View Constrained Autonomous Flight

Fuente: arXiv
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Hauptverfasser: Wu, Yuwei, Tao, Yuezhan, Spasojevic, Igor, Kumar, Vijay
Format: Preprint
Veröffentlicht: 2024
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author Wu, Yuwei
Tao, Yuezhan
Spasojevic, Igor
Kumar, Vijay
author_facet Wu, Yuwei
Tao, Yuezhan
Spasojevic, Igor
Kumar, Vijay
contents Trajectory generation for quadrotors with limited field-of-view sensors has numerous applications such as aerial exploration, coverage, inspection, videography, and target tracking. Most previous works simplify the task of optimizing yaw trajectories by either aligning the heading of the robot with its velocity, or potentially restricting the feasible space of candidate trajectories by using a limited yaw domain to circumvent angular singularities. In this paper, we propose a novel \textit{global} yaw parameterization method for trajectory optimization that allows a 360-degree yaw variation as demanded by the underlying algorithm. This approach effectively bypasses inherent singularities by including supplementary quadratic constraints and transforming the final decision variables into the desired state representation. This method significantly reduces the needed control effort, and improves optimization feasibility. Furthermore, we apply the method to several examples of different applications that require jointly optimizing over both the yaw and position trajectories. Ultimately, we present a comprehensive numerical analysis and evaluation of our proposed method in both simulation and real-world experiments.
format Preprint
id arxiv_https___arxiv_org_abs_2403_17067
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Trajectory Optimization with Global Yaw Parameterization for Field-of-View Constrained Autonomous Flight
Wu, Yuwei
Tao, Yuezhan
Spasojevic, Igor
Kumar, Vijay
Robotics
Trajectory generation for quadrotors with limited field-of-view sensors has numerous applications such as aerial exploration, coverage, inspection, videography, and target tracking. Most previous works simplify the task of optimizing yaw trajectories by either aligning the heading of the robot with its velocity, or potentially restricting the feasible space of candidate trajectories by using a limited yaw domain to circumvent angular singularities. In this paper, we propose a novel \textit{global} yaw parameterization method for trajectory optimization that allows a 360-degree yaw variation as demanded by the underlying algorithm. This approach effectively bypasses inherent singularities by including supplementary quadratic constraints and transforming the final decision variables into the desired state representation. This method significantly reduces the needed control effort, and improves optimization feasibility. Furthermore, we apply the method to several examples of different applications that require jointly optimizing over both the yaw and position trajectories. Ultimately, we present a comprehensive numerical analysis and evaluation of our proposed method in both simulation and real-world experiments.
title Trajectory Optimization with Global Yaw Parameterization for Field-of-View Constrained Autonomous Flight
topic Robotics
url https://arxiv.org/abs/2403.17067