Truncation of fractional derivative for online system identification - Archive ouverte HAL Access content directly
Journal Articles IFAC-PapersOnLine Year : 2022

Truncation of fractional derivative for online system identification

Abstract

Fractional derivatives are non local operators that has compacity property in terms of parameter number for modeling diffusive phenomenon with very few parameters. One of its main properties is its non-local behavior, as it can be exploited to model long-memory phenomena such as heat transfers. However, such non-locality implies a constant knowledge of the full past of the function to be differentiated. In the context of real-time system identification, this may limit the experiences as calculations become slower as time progresses. This study deals with the relationship between frequency content of a signal and its truncation error in order to obtain real-time exploitable algorithms.
Fichier principal
Vignette du fichier
IMS_IFACPO_2022_Duhé.pdf (565.58 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive

Dates and versions

hal-04048657 , version 1 (28-03-2023)

Licence

Attribution - NonCommercial - NoDerivatives

Identifiers

Cite

Jean Francois Duhe, Stephane Victor, Pierre Melchior, Youssef Abdelmounen, François Roubertie. Truncation of fractional derivative for online system identification. IFAC-PapersOnLine, 2022, 55 (34), pp.60-65. ⟨10.1016/j.ifacol.2022.11.308⟩. ⟨hal-04048657⟩
17 View
14 Download

Altmetric

Share

Gmail Facebook X LinkedIn More