Details
| Original language | English |
|---|---|
| Pages (from-to) | 2629 - 2634 |
| Journal | IEEE Control Systems Letters |
| Volume | 7 |
| Publication status | Published - 16 Jun 2023 |
Abstract
In the context of data-driven control, persistence of excitation (PE) of an input sequence is defined in terms of a rank condition on the Hankel matrix of the input data. For nonlinear systems, recent results employed rank conditions involving collected input and state/output data, for which no guidelines are available on how to satisfy them a priori. In this letter, we first show that a set of discrete impulses is guaranteed to be persistently exciting for any controllable LTI system. Based on this result, for certain classes of nonlinear systems, we guarantee persistence of excitation of sequences of basis functions a priori, by design of the physical input only.
Keywords
- Data-driven control, identification for control, persistence of excitation
ASJC Scopus subject areas
- Mathematics(all)
- Control and Optimization
- Engineering(all)
- Control and Systems Engineering
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In: IEEE Control Systems Letters, Vol. 7, 16.06.2023, p. 2629 - 2634.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the design of persistently exciting inputs for data-driven control of linear and nonlinear systems
AU - Alsalti, Mohammad Salahaldeen Ahmad
AU - Lopez Mejia, Victor Gabriel
AU - Müller, Matthias A.
N1 - Funding Information: This work was supported by the European Research Council (ERC) through the European Union's Horizon 2020 Research and Innovation Programme under Grant 948679.
PY - 2023/6/16
Y1 - 2023/6/16
N2 - In the context of data-driven control, persistence of excitation (PE) of an input sequence is defined in terms of a rank condition on the Hankel matrix of the input data. For nonlinear systems, recent results employed rank conditions involving collected input and state/output data, for which no guidelines are available on how to satisfy them a priori. In this letter, we first show that a set of discrete impulses is guaranteed to be persistently exciting for any controllable LTI system. Based on this result, for certain classes of nonlinear systems, we guarantee persistence of excitation of sequences of basis functions a priori, by design of the physical input only.
AB - In the context of data-driven control, persistence of excitation (PE) of an input sequence is defined in terms of a rank condition on the Hankel matrix of the input data. For nonlinear systems, recent results employed rank conditions involving collected input and state/output data, for which no guidelines are available on how to satisfy them a priori. In this letter, we first show that a set of discrete impulses is guaranteed to be persistently exciting for any controllable LTI system. Based on this result, for certain classes of nonlinear systems, we guarantee persistence of excitation of sequences of basis functions a priori, by design of the physical input only.
KW - Data-driven control
KW - identification for control
KW - persistence of excitation
UR - http://www.scopus.com/inward/record.url?scp=85162620158&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2303.08707
DO - 10.48550/arXiv.2303.08707
M3 - Article
VL - 7
SP - 2629
EP - 2634
JO - IEEE Control Systems Letters
JF - IEEE Control Systems Letters
ER -