Physics-informed Learning for Passivity-based Tracking Control

Fuente: arXiv
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Autori principali: Beckers, Thomas, Colombo, Leonardo
Natura: Preprint
Pubblicazione: 2025
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author Beckers, Thomas
Colombo, Leonardo
author_facet Beckers, Thomas
Colombo, Leonardo
contents Passivity-based control ensures system stability by leveraging dissipative properties and is widely applied in electrical and mechanical systems. Port-Hamiltonian systems (PHS), in particular, are well-suited for interconnection and damping assignment passivity-based control (IDA-PBC) due to their structured, energy-centric modeling approach. However, current IDA-PBC faces two key challenges: (i) it requires precise system knowledge, which is often unavailable due to model uncertainties, and (ii) it is typically limited to set-point control. To address these limitations, we propose a data-driven tracking control approach based on a physics-informed model, namely Gaussian process Port-Hamiltonian systems, along with the modified matching equation. By leveraging the Bayesian nature of the model, we establish probabilistic stability and passivity guarantees. A simulation demonstrates the effectiveness of our approach.
format Preprint
id arxiv_https___arxiv_org_abs_2505_01569
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Physics-informed Learning for Passivity-based Tracking Control
Beckers, Thomas
Colombo, Leonardo
Systems and Control
Passivity-based control ensures system stability by leveraging dissipative properties and is widely applied in electrical and mechanical systems. Port-Hamiltonian systems (PHS), in particular, are well-suited for interconnection and damping assignment passivity-based control (IDA-PBC) due to their structured, energy-centric modeling approach. However, current IDA-PBC faces two key challenges: (i) it requires precise system knowledge, which is often unavailable due to model uncertainties, and (ii) it is typically limited to set-point control. To address these limitations, we propose a data-driven tracking control approach based on a physics-informed model, namely Gaussian process Port-Hamiltonian systems, along with the modified matching equation. By leveraging the Bayesian nature of the model, we establish probabilistic stability and passivity guarantees. A simulation demonstrates the effectiveness of our approach.
title Physics-informed Learning for Passivity-based Tracking Control
topic Systems and Control
url https://arxiv.org/abs/2505.01569