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Loewner-based Data-driven Iterative Structured Control Design

Bouteau, Basile ; Kergus, Pauline LU and Vuillemin, Pierre (2021) 2021 European Control Conference, ECC 2021 p.113-118
Abstract

Stability enforcement remains a challenge in data-driven control paradigms, where no parametrised model of the system is available. In the Loewner Data-Driven Control framework (L-DDC) [1] for instance, the system's instabilities are estimated in order to enforce a closed-loop stability constraint on the controller reduction step. In order to avoid this preliminary estimation of instabilities, this paper proposes to embed a closed-loop stability constraint in the design. To that extent, an optimization problem is formulated in order to improve matching between the reference model and the closed-loop while maintaining internal stability. The proposed iterative procedure to solve this problem is illustrated on two numerical examples.

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author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2021 European Control Conference, ECC 2021
pages
6 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
2021 European Control Conference, ECC 2021
conference location
Delft, Netherlands
conference dates
2021-06-29 - 2021-07-02
external identifiers
  • scopus:85124912156
ISBN
9789463842365
DOI
10.23919/ECC54610.2021.9655099
project
Scalable Control of Interconnected Systems
language
English
LU publication?
yes
id
f0804f0d-148f-4e09-b9ae-0b4dce574647
date added to LUP
2022-04-12 09:03:47
date last changed
2022-05-11 13:00:56
@inproceedings{f0804f0d-148f-4e09-b9ae-0b4dce574647,
  abstract     = {{<p>Stability enforcement remains a challenge in data-driven control paradigms, where no parametrised model of the system is available. In the Loewner Data-Driven Control framework (L-DDC) [1] for instance, the system's instabilities are estimated in order to enforce a closed-loop stability constraint on the controller reduction step. In order to avoid this preliminary estimation of instabilities, this paper proposes to embed a closed-loop stability constraint in the design. To that extent, an optimization problem is formulated in order to improve matching between the reference model and the closed-loop while maintaining internal stability. The proposed iterative procedure to solve this problem is illustrated on two numerical examples. </p>}},
  author       = {{Bouteau, Basile and Kergus, Pauline and Vuillemin, Pierre}},
  booktitle    = {{2021 European Control Conference, ECC 2021}},
  isbn         = {{9789463842365}},
  language     = {{eng}},
  pages        = {{113--118}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Loewner-based Data-driven Iterative Structured Control Design}},
  url          = {{http://dx.doi.org/10.23919/ECC54610.2021.9655099}},
  doi          = {{10.23919/ECC54610.2021.9655099}},
  year         = {{2021}},
}