Unified Feedback Linearization for Nonlinear Systems with Dexterous and Energy-Saving Modes

Fuente: arXiv
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Auteurs principaux: Mizzoni, Mirko, van Goor, Pieter, Franchi, Antonio
Format: Preprint
Publié: 2025
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author Mizzoni, Mirko
van Goor, Pieter
Franchi, Antonio
author_facet Mizzoni, Mirko
van Goor, Pieter
Franchi, Antonio
contents Systems with a high number of inputs compared to the degrees of freedom (e.g. a mobile robot with Mecanum wheels) often have a minimal set of energy-efficient inputs needed to achieve a main task (e.g. position tracking) and a set of energy-intense inputs needed to achieve an additional auxiliary task (e.g. orientation tracking). This letter presents a unified control scheme, derived through feedback linearization, that can switch between two modes: an energy-saving mode, which tracks the main task using only the energy-efficient inputs while forcing the energy-intense inputs to zero, and a dexterous mode, which also uses the energy-intense inputs to track the auxiliary task as needed. The proposed control guarantees the exponential tracking of the main task and that the dynamics associated with the main task evolve independently of the a priori unknown switching signal. When the control is operating in dexterous mode, the exponential tracking of the auxiliary task is also guaranteed. Numerical simulations on an omnidirectional Mecanum wheel robot validate the effectiveness of the proposed approach and demonstrate the effect of the switching signal on the exponential tracking behavior of the main and auxiliary tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2502_20524
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unified Feedback Linearization for Nonlinear Systems with Dexterous and Energy-Saving Modes
Mizzoni, Mirko
van Goor, Pieter
Franchi, Antonio
Robotics
Optimization and Control
Systems with a high number of inputs compared to the degrees of freedom (e.g. a mobile robot with Mecanum wheels) often have a minimal set of energy-efficient inputs needed to achieve a main task (e.g. position tracking) and a set of energy-intense inputs needed to achieve an additional auxiliary task (e.g. orientation tracking). This letter presents a unified control scheme, derived through feedback linearization, that can switch between two modes: an energy-saving mode, which tracks the main task using only the energy-efficient inputs while forcing the energy-intense inputs to zero, and a dexterous mode, which also uses the energy-intense inputs to track the auxiliary task as needed. The proposed control guarantees the exponential tracking of the main task and that the dynamics associated with the main task evolve independently of the a priori unknown switching signal. When the control is operating in dexterous mode, the exponential tracking of the auxiliary task is also guaranteed. Numerical simulations on an omnidirectional Mecanum wheel robot validate the effectiveness of the proposed approach and demonstrate the effect of the switching signal on the exponential tracking behavior of the main and auxiliary tasks.
title Unified Feedback Linearization for Nonlinear Systems with Dexterous and Energy-Saving Modes
topic Robotics
Optimization and Control
url https://arxiv.org/abs/2502.20524