Linear Time-Periodic System Identification with Grouped Atomic Norm Regularization

Open access
Datum
2020-11Typ
- Conference Paper
ETH Bibliographie
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Abstract
This paper proposes a new methodology in linear time-periodic (LTP) system identification. In contrast to previous methods that totally separate dynamics at different tag times for identification, the method focuses on imposing appropriate structural constraints on the linear time-invariant (LTI) reformulation of LTP systems. This method adopts a periodically-switched truncated infinite impulse response model for LTP systems, where the structural constraints are interpreted as the requirement to place the poles of the non-truncated models at the same locations for all sub-models. This constraint is imposed by combining the atomic norm regularization framework for LTI systems with the group lasso technique in regression. As a result, the estimated system is both uniform and low-order, which is hard to achieve with other existing estimators. Monte Carlo simulation shows that the grouped atomic norm method does not only show better results compared to other regularized methods, but also outperforms the subspace identification method under high noise levels in terms of model fitting. Mehr anzeigen
Persistenter Link
https://doi.org/10.3929/ethz-b-000461410Publikationsstatus
publishedExterne Links
Buchtitel
21st IFAC World CongressZeitschrift / Serie
IFAC-PapersOnLineBand
Seiten / Artikelnummer
Verlag
ElsevierKonferenz
Thema
System identification; regularization; periodic systemsOrganisationseinheit
08814 - Smith, Roy (Tit.-Prof.) (ehemalig) / Smith, Roy (Tit.-Prof.) (former)
Förderung
178890 - Modeling, Identification and Control of Periodic Systems in Energy Applications (SNF)
Zugehörige Publikationen und Daten
Is supplemented by: https://doi.org/10.3929/ethz-b-000463825
Anmerkungen
Due to the Coronavirus (COVID-19) the 21st IFAC World Congress 2020 became the 1st Virtual IFAC World Congress (IFAC-V 2020).ETH Bibliographie
yes
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