Schmitz, PhilippPhilippSchmitzFaulwasser, TimmTimmFaulwasserWorthmann, KarlKarlWorthmann2024-02-142024-02-142022-03-22IEEE Control Systems Letters 6: 2443-2448 (2022-03-22)https://hdl.handle.net/11420/45665In this letter we investigate data-driven predictive control of discrete-time linear descriptor systems. Specifically, we give a tailored variant of Willems' fundamental lemma, which shows that for descriptor systems the non-parametric modeling via a Hankel matrix requires less data compared to linear time-invariant systems without algebraic constraints. Moreover, we use this description to propose a data-driven framework for optimal control and predictive control of discrete-time linear descriptor systems. For the latter, we provide a sufficient stability condition for receding-horizon control before we illustrate our findings with an example.en2475-1456202224432448Institute of Electrical and Electronics Engineers Inc.Data-driven controldescriptor systemsdiscrete timeHankel matrixMPCnon-parametric system descriptionoptimal controlpredictive controlWillems-fundamental lemmaPhysicsJournal Article10.1109/LCSYS.2022.3161054Journal Article