Details
| Original language | English |
|---|---|
| Title of host publication | 2022 IEEE 61st Conference on Decision and Control, CDC 2022 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 2759-2764 |
| Number of pages | 6 |
| ISBN (electronic) | 9781665467612 |
| ISBN (print) | 978-1-6654-6760-5, 978-1-6654-6762-9 |
| Publication status | Published - 2022 |
| Event | 61st IEEE Conference on Decision and Control, CDC 2022 - Cancun, Mexico Duration: 6 Dec 2022 → 9 Dec 2022 |
Publication series
| Name | Proceedings of the IEEE Conference on Decision and Control |
|---|---|
| Volume | 2022-December |
| ISSN (Print) | 0743-1546 |
| ISSN (electronic) | 2576-2370 |
Abstract
In this paper, a method to represent every input-output trajectory of a continuous-time linear system in terms of previously collected data is presented. This corresponds to a continuous-time version of the well-known Willems' lemma. The result is obtained by sampling the continuous signals at regular intervals, and constructing Hankel-like structures that closely resemble their discrete-time counterparts. Then, it is shown how to use measured persistently excited data to design a time-varying vector of parameters that allows the generation of arbitrary piecewise differentiable trajectories. A class of input signals that satisfies the conditions for persistence of excitation is also provided.
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Mathematics(all)
- Modelling and Simulation
- Mathematics(all)
- Control and Optimization
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2022 IEEE 61st Conference on Decision and Control, CDC 2022. Institute of Electrical and Electronics Engineers Inc., 2022. p. 2759-2764 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2022-December).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - On a Continuous-Time Version of Willems' Lemma
AU - Lopez, Victor G.
AU - Muller, Matthias A.
N1 - Funding Information: This work received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 948679).
PY - 2022
Y1 - 2022
N2 - In this paper, a method to represent every input-output trajectory of a continuous-time linear system in terms of previously collected data is presented. This corresponds to a continuous-time version of the well-known Willems' lemma. The result is obtained by sampling the continuous signals at regular intervals, and constructing Hankel-like structures that closely resemble their discrete-time counterparts. Then, it is shown how to use measured persistently excited data to design a time-varying vector of parameters that allows the generation of arbitrary piecewise differentiable trajectories. A class of input signals that satisfies the conditions for persistence of excitation is also provided.
AB - In this paper, a method to represent every input-output trajectory of a continuous-time linear system in terms of previously collected data is presented. This corresponds to a continuous-time version of the well-known Willems' lemma. The result is obtained by sampling the continuous signals at regular intervals, and constructing Hankel-like structures that closely resemble their discrete-time counterparts. Then, it is shown how to use measured persistently excited data to design a time-varying vector of parameters that allows the generation of arbitrary piecewise differentiable trajectories. A class of input signals that satisfies the conditions for persistence of excitation is also provided.
UR - http://www.scopus.com/inward/record.url?scp=85146970729&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2203.03702
DO - 10.48550/arXiv.2203.03702
M3 - Conference contribution
AN - SCOPUS:85146970729
SN - 978-1-6654-6760-5
SN - 978-1-6654-6762-9
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 2759
EP - 2764
BT - 2022 IEEE 61st Conference on Decision and Control, CDC 2022
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 61st IEEE Conference on Decision and Control, CDC 2022
Y2 - 6 December 2022 through 9 December 2022
ER -