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Main Authors: Bae, Juho, Bai, Ji Hoon, Lee, Byung-Yoon, Lee, Jun-Yong
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.14304
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author Bae, Juho
Bai, Ji Hoon
Lee, Byung-Yoon
Lee, Jun-Yong
author_facet Bae, Juho
Bai, Ji Hoon
Lee, Byung-Yoon
Lee, Jun-Yong
contents This paper presents an enhanced direct-method-based approach for the real-time solution of optimal control problems to handle path constraints, such as obstacles. The principal contributions of this work are twofold: first, the existing methods for constructing reachability sets in the literature are extended to derive the envelope of these sets, which determines the region swept by all feasible trajectories between adjacent sample points. Second, we propose a novel method to guarantee constraint violation-free between discrete states in two dimensions through mesh refinement approach. To illustrate the effectiveness of the proposed methodology, numerical simulations are conducted on real-time path planning for fixed-wing unmanned aerial vehicles.
format Preprint
id arxiv_https___arxiv_org_abs_2401_14304
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Constraint-Aware Mesh Refinement Method by Reachability Set Envelope of Curvature Bounded Paths
Bae, Juho
Bai, Ji Hoon
Lee, Byung-Yoon
Lee, Jun-Yong
Systems and Control
This paper presents an enhanced direct-method-based approach for the real-time solution of optimal control problems to handle path constraints, such as obstacles. The principal contributions of this work are twofold: first, the existing methods for constructing reachability sets in the literature are extended to derive the envelope of these sets, which determines the region swept by all feasible trajectories between adjacent sample points. Second, we propose a novel method to guarantee constraint violation-free between discrete states in two dimensions through mesh refinement approach. To illustrate the effectiveness of the proposed methodology, numerical simulations are conducted on real-time path planning for fixed-wing unmanned aerial vehicles.
title Constraint-Aware Mesh Refinement Method by Reachability Set Envelope of Curvature Bounded Paths
topic Systems and Control
url https://arxiv.org/abs/2401.14304