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Learning Neural Feedback Linearization for Data-driven Systems via Augmented Lagrangian

Summary

Researchers propose a data-driven framework that learns a feedback linearizing controller by embedding relative-degree conditions directly into training, replacing conventional controller components with neural Lie derivatives. They derive practical closed-loop stability conditions under bounded identification error and validate the approach on an armature-controlled DC motor.

SourcearXiv Machine LearningAuthor: Lakshmi Priya P. K., Andreas Schwung
Learning Neural Feedback Linearization for Data-driven Systems via Augmented Lagrangian
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[Submitted on 21 Sep 2026]

Title:Learning Neural Feedback Linearization for Data-driven Systems via Augmented Lagrangian

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Abstract:The paper proposes a novel data-driven framework for designing and training a feedback linearizing controller by explicitly incorporating relative degree based conditions into the learning process. This enables the conventional feedback controller components to be replaced by neural Lie derivatives, thereby facilitating a fully data-driven feedback linearization framework. Furthermore, practical closed-loop stability is established by deriving sufficient conditions under which bounded identification errors lead to bounded tracking errors. The derived theoretical results are validated through their application to an armature controlled DC motor.

Subjects:

Machine Learning (cs.LG)

Cite as: arXiv:2609.25163 [cs.LG]

(or arXiv:2609.25163v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2609.25163

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Lakshmipriya P.K. [view email] [v1] Mon, 21 Sep 2026 11:51:04 UTC (1,048 KB)

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Key points and analysis

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Key points

  • The method incorporates relative degree conditions into learning to train a feedback linearizing controller directly from data.
  • Neural Lie derivatives replace conventional feedback controller components, enabling fully data-driven feedback linearization.
  • Sufficient conditions show bounded identification errors lead to bounded tracking errors, supporting closed-loop stability.
  • Theoretical results are validated on an armature-controlled DC motor.

Highlights and analysis are generated automatically and may contain errors. Check the original source.