Samenvatting
In this article, we present a data-driven representation for linear parameter-varying (LPV) systems, which can be used for direct data-driven analysis and control of such systems. Specifically, we use the behavioral approach to develop a data-driven representation of the finite-horizon behavior of LPV systems for which there exists a kernel representation with shifted-affine scheduling dependence. Moreover, we provide a necessary and sufficient rank-based test on the available data that concludes whether the data fully represents the finite-horizon LPV behavior. Using the proposed data-driven representation, we also solve the data-driven simulation problem for LPV systems. Through multiple examples, we demonstrate that the results in this article allow us to formulate a novel set of direct data-driven analysis and control methods for LPV systems, which are also applicable for LPV embeddings of nonlinear systems.
| Originele taal-2 | Engels |
|---|---|
| Artikelnummer | 11177019 |
| Pagina's (van-tot) | 1616-1629 |
| Aantal pagina's | 14 |
| Tijdschrift | IEEE Transactions on Automatic Control |
| Volume | 71 |
| Nummer van het tijdschrift | 3 |
| Vroegere onlinedatum | 24 sep. 2025 |
| DOI's | |
| Status | Gepubliceerd - mrt. 2026 |
Financiering
This work has been supported by The MathWorks Inc. and by the European Union within the framework of the National Laboratory for Autonomous Systems (RRF-2.3.1-21-2022-00002). Opinions, findings, conclusions or recommendations expressed in this paper are those of the authors and do not necessarily reflect the views of the MathWorks Inc. or the European Union.
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