A Bi-Level Optimization Method for Redundant Dual-Arm Minimum Time Problems

Fuente: arXiv
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Autori principali: Fried, Jonathan, Paternain, Santiago
Natura: Preprint
Pubblicazione: 2025
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author Fried, Jonathan
Paternain, Santiago
author_facet Fried, Jonathan
Paternain, Santiago
contents In this work, we present a method for minimizing the time required for a redundant dual-arm robot to follow a desired relative Cartesian path at constant path speed by optimizing its joint trajectories, subject to position, velocity, and acceleration limits. The problem is reformulated as a bi-level optimization whose lower level is a convex, closed-form subproblem that maximizes path speed for a fixed trajectory, while the upper level updates the trajectory using a single-chain kinematic formulation and the subgradient of the lower-level value. Numerical results demonstrate the effectiveness of the proposed approach.
format Preprint
id arxiv_https___arxiv_org_abs_2506_03982
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Bi-Level Optimization Method for Redundant Dual-Arm Minimum Time Problems
Fried, Jonathan
Paternain, Santiago
Robotics
Optimization and Control
In this work, we present a method for minimizing the time required for a redundant dual-arm robot to follow a desired relative Cartesian path at constant path speed by optimizing its joint trajectories, subject to position, velocity, and acceleration limits. The problem is reformulated as a bi-level optimization whose lower level is a convex, closed-form subproblem that maximizes path speed for a fixed trajectory, while the upper level updates the trajectory using a single-chain kinematic formulation and the subgradient of the lower-level value. Numerical results demonstrate the effectiveness of the proposed approach.
title A Bi-Level Optimization Method for Redundant Dual-Arm Minimum Time Problems
topic Robotics
Optimization and Control
url https://arxiv.org/abs/2506.03982