Options
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)
Journal
Volume
6
Start Page
2443
End Page
2448
Citation
IEEE Control Systems Letters 6: 2443-2448 (2022-03-22)
Publisher DOI
Scopus ID
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