R-LGP: A Reachability-guided Logic-geometric Programming Framework for Optimal Task and Motion Planning on Mobile Manipulators

Fuente: arXiv
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Main Authors: Ly, Kim Tien, Semenov, Valeriy, Risiglione, Mattia, Merkt, Wolfgang, Havoutis, Ioannis
Format: Preprint
Published: 2023
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author Ly, Kim Tien
Semenov, Valeriy
Risiglione, Mattia
Merkt, Wolfgang
Havoutis, Ioannis
author_facet Ly, Kim Tien
Semenov, Valeriy
Risiglione, Mattia
Merkt, Wolfgang
Havoutis, Ioannis
contents This paper presents an optimization-based solution to task and motion planning (TAMP) on mobile manipulators. Logic-geometric programming (LGP) has shown promising capabilities for optimally dealing with hybrid TAMP problems that involve abstract and geometric constraints. However, LGP does not scale well to high-dimensional systems (e.g. mobile manipulators) and can suffer from obstacle avoidance issues due to local minima. In this work, we extend LGP with a sampling-based reachability graph to enable solving optimal TAMP on high-DoF mobile manipulators. The proposed reachability graph can incorporate environmental information (obstacles) to provide the planner with sufficient geometric constraints. This reachability-aware heuristic efficiently prunes infeasible sequences of actions in the continuous domain, hence, it reduces replanning by securing feasibility at the final full path trajectory optimization. Our framework proves to be time-efficient in computing optimal and collision-free solutions, while outperforming the current state of the art on metrics of success rate, planning time, path length and number of steps. We validate our framework on the physical Toyota HSR robot and report comparisons on a series of mobile manipulation tasks of increasing difficulty. Videos of the experiments are available at https://youtu.be/NEVVHEhQnOQ.
format Preprint
id arxiv_https___arxiv_org_abs_2310_02791
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle R-LGP: A Reachability-guided Logic-geometric Programming Framework for Optimal Task and Motion Planning on Mobile Manipulators
Ly, Kim Tien
Semenov, Valeriy
Risiglione, Mattia
Merkt, Wolfgang
Havoutis, Ioannis
Robotics
This paper presents an optimization-based solution to task and motion planning (TAMP) on mobile manipulators. Logic-geometric programming (LGP) has shown promising capabilities for optimally dealing with hybrid TAMP problems that involve abstract and geometric constraints. However, LGP does not scale well to high-dimensional systems (e.g. mobile manipulators) and can suffer from obstacle avoidance issues due to local minima. In this work, we extend LGP with a sampling-based reachability graph to enable solving optimal TAMP on high-DoF mobile manipulators. The proposed reachability graph can incorporate environmental information (obstacles) to provide the planner with sufficient geometric constraints. This reachability-aware heuristic efficiently prunes infeasible sequences of actions in the continuous domain, hence, it reduces replanning by securing feasibility at the final full path trajectory optimization. Our framework proves to be time-efficient in computing optimal and collision-free solutions, while outperforming the current state of the art on metrics of success rate, planning time, path length and number of steps. We validate our framework on the physical Toyota HSR robot and report comparisons on a series of mobile manipulation tasks of increasing difficulty. Videos of the experiments are available at https://youtu.be/NEVVHEhQnOQ.
title R-LGP: A Reachability-guided Logic-geometric Programming Framework for Optimal Task and Motion Planning on Mobile Manipulators
topic Robotics
url https://arxiv.org/abs/2310.02791