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arXiv · 2609.07241

A Continuous-Time Generalization of the LPV Fundamental Lemma

Philipp Schmitz·Chris Verhoek
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Abstract

Controller design for physical systems directly from data is of tremendous interest in both the industry and academia. However, the research on direct data-driven control has thus far mainly focused on discrete-time linear time-invariant systems. To make the highly non-trivial step to continuous-time nonlinear systems, this paper explores an intermediate route through the framework of linear parameter-varying (LPV) systems. LPV systems can be used as a convenient surrogate for nonlinear systems to achieve systematic analysis and controller design. In this work, we generalize the LPV Fundamental Lemma for discrete-time systems towards a class of continuous-time LPV systems, achieving data-driven representations that can be used to design continuous-time LPV controllers.

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Philipp Schmitz, Chris Verhoek. 2026-09-07. A Continuous-Time Generalization of the LPV Fundamental Lemma. https://arxiv.org/abs/2609.07241

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