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  4. Willems' fundamental lemma for linear descriptor systems and its use for data-driven output-feedback MPC
 
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Willems' fundamental lemma for linear descriptor systems and its use for data-driven output-feedback MPC

Publikationstyp
Journal Article
Date Issued
2022-03-22
Sprache
English
Author(s)
Schmitz, Philipp
Faulwasser, Timm  
Worthmann, Karl  
TORE-URI
https://hdl.handle.net/11420/45665
Journal
IEEE control systems letters  
Volume
6
Start Page
2443
End Page
2448
Citation
IEEE Control Systems Letters 6: 2443-2448 (2022-03-22)
Publisher DOI
10.1109/LCSYS.2022.3161054
Scopus ID
2-s2.0-85126890341
Publisher
Institute of Electrical and Electronics Engineers Inc.
In 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.
Subjects
Data-driven control
descriptor systems
discrete time
Hankel matrix
MPC
non-parametric system description
optimal control
predictive control
Willems-fundamental lemma
DDC Class
530: Physics
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