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arXiv · 2311.07140

A Linear Parameter-Varying Approach to Data Predictive Control

Chris Verhoek·Julian Berberich·Sofie Haesaert·Roland Tóth·Hossam S. Abbas
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Abstract

By means of the linear parameter-varying (LPV) Fundamental Lemma, we derive novel data-driven predictive control (DPC) methods for LPV systems. In particular, we present output-feedback and state-feedback-based LPV-DPC methods with terminal ingredients, which guarantee exponential stability and recursive feasibility. We provide methods for the data-based computation of these terminal ingredients. Furthermore, an in-depth analysis of the application and implementation aspects of the LPV-DPC schemes is given, including application for nonlinear systems and handling noisy data. We compare and demonstrate the performance of the proposed methods in a detailed simulation example involving a nonlinear unbalanced disc system.

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Chris Verhoek, Julian Berberich, Sofie Haesaert, Roland Tóth, Hossam S. Abbas. 2023-11-13. A Linear Parameter-Varying Approach to Data Predictive Control. https://doi.org/10.1109/tac.2025.3626955

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