Details
| Original language | English |
|---|---|
| Pages (from-to) | 916-921 |
| Number of pages | 6 |
| Journal | IEEE Control Systems Letters |
| Volume | 8 |
| Publication status | Published - 27 May 2024 |
Abstract
We illustrate a novel version of Willems’ lemma for data-based representation of continuous-time systems. The main novelties compared to previous works are two. First, the proposed framework relies only on measured input-output trajectories from the system and no internal (state) information is required. Second, our system representation makes use of exact system trajectories, without resorting to orthogonal bases representations and consequent approximations. We first establish sufficient and necessary conditions for data-based generation of system trajectories in terms of suitable latent variables. Subsequently, we reformulate these conditions using measured input-output data and show how to span the full behavior of the system. Furthermore, we show how to use the developed framework to solve the data-based continuous-time simulation problem.
Keywords
- continuous-time systems, Control design, Data-based representation, Discrete-time systems, Europe, linear systems, Polynomials, System dynamics, Trajectory, Vectors
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Mathematics(all)
- Control and Optimization
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In: IEEE Control Systems Letters, Vol. 8, 27.05.2024, p. 916-921.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An Input-Output Continuous-Time Version of Willems’ Lemma
AU - Lopez, Victor G.
AU - Muller, Matthias A.
AU - Rapisarda, Paolo
N1 - Publisher Copyright: © 2017 IEEE.
PY - 2024/5/27
Y1 - 2024/5/27
N2 - We illustrate a novel version of Willems’ lemma for data-based representation of continuous-time systems. The main novelties compared to previous works are two. First, the proposed framework relies only on measured input-output trajectories from the system and no internal (state) information is required. Second, our system representation makes use of exact system trajectories, without resorting to orthogonal bases representations and consequent approximations. We first establish sufficient and necessary conditions for data-based generation of system trajectories in terms of suitable latent variables. Subsequently, we reformulate these conditions using measured input-output data and show how to span the full behavior of the system. Furthermore, we show how to use the developed framework to solve the data-based continuous-time simulation problem.
AB - We illustrate a novel version of Willems’ lemma for data-based representation of continuous-time systems. The main novelties compared to previous works are two. First, the proposed framework relies only on measured input-output trajectories from the system and no internal (state) information is required. Second, our system representation makes use of exact system trajectories, without resorting to orthogonal bases representations and consequent approximations. We first establish sufficient and necessary conditions for data-based generation of system trajectories in terms of suitable latent variables. Subsequently, we reformulate these conditions using measured input-output data and show how to span the full behavior of the system. Furthermore, we show how to use the developed framework to solve the data-based continuous-time simulation problem.
KW - continuous-time systems
KW - Control design
KW - Data-based representation
KW - Discrete-time systems
KW - Europe
KW - linear systems
KW - Polynomials
KW - System dynamics
KW - Trajectory
KW - Vectors
UR - http://www.scopus.com/inward/record.url?scp=85194852386&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2405.15482
DO - 10.48550/arXiv.2405.15482
M3 - Article
AN - SCOPUS:85194852386
VL - 8
SP - 916
EP - 921
JO - IEEE Control Systems Letters
JF - IEEE Control Systems Letters
ER -