Task Hierarchical Control via Null-Space Projection and Path Integral Approach

Fuente: arXiv
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Main Authors: Patil, Apurva, Funada, Riku, Tanaka, Takashi, Sentis, Luis
Format: Preprint
Published: 2025
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author Patil, Apurva
Funada, Riku
Tanaka, Takashi
Sentis, Luis
author_facet Patil, Apurva
Funada, Riku
Tanaka, Takashi
Sentis, Luis
contents This paper addresses the problem of hierarchical task control, where a robotic system must perform multiple subtasks with varying levels of priority. A commonly used approach for hierarchical control is the null-space projection technique, which ensures that higher-priority tasks are executed without interference from lower-priority ones. While effective, the state-of-the-art implementations of this method rely on low-level controllers, such as PID controllers, which can be prone to suboptimal solutions in complex tasks. This paper presents a novel framework for hierarchical task control, integrating the null-space projection technique with the path integral control method. Our approach leverages Monte Carlo simulations for real-time computation of optimal control inputs, allowing for the seamless integration of simpler PID-like controllers with a more sophisticated optimal control technique. Through simulation studies, we demonstrate the effectiveness of this combined approach, showing how it overcomes the limitations of traditional
format Preprint
id arxiv_https___arxiv_org_abs_2503_22574
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Task Hierarchical Control via Null-Space Projection and Path Integral Approach
Patil, Apurva
Funada, Riku
Tanaka, Takashi
Sentis, Luis
Robotics
Systems and Control
This paper addresses the problem of hierarchical task control, where a robotic system must perform multiple subtasks with varying levels of priority. A commonly used approach for hierarchical control is the null-space projection technique, which ensures that higher-priority tasks are executed without interference from lower-priority ones. While effective, the state-of-the-art implementations of this method rely on low-level controllers, such as PID controllers, which can be prone to suboptimal solutions in complex tasks. This paper presents a novel framework for hierarchical task control, integrating the null-space projection technique with the path integral control method. Our approach leverages Monte Carlo simulations for real-time computation of optimal control inputs, allowing for the seamless integration of simpler PID-like controllers with a more sophisticated optimal control technique. Through simulation studies, we demonstrate the effectiveness of this combined approach, showing how it overcomes the limitations of traditional
title Task Hierarchical Control via Null-Space Projection and Path Integral Approach
topic Robotics
Systems and Control
url https://arxiv.org/abs/2503.22574