Library
local_library Home Repository

Fractional-Order Memory-Reset Hybrid Integrator-Gain System - Part I

Frequency Domain Properties

Journal Article (2025)
Author(s)

Christoph Weise (Ilmenau University of Technology)

K. Wulff (Ilmenau University of Technology)

S.A. Hosseini (TU Delft - Mechatronic Systems Design)

M.B. Kaczmarek (TU Delft - Mechatronic Systems Design)

S. Hassan HosseinNia (TU Delft - Mechatronic Systems Design)

J. Reger (Ilmenau University of Technology)

Research Group
Mechatronic Systems Design
DOI related publication
https://doi.org/10.1016/j.ifacol.2025.10.116
More Info
expand_more
Publication Year
2025
Language
English
Research Group
Mechatronic Systems Design
Issue number
16
Volume number
59
Pages (from-to)
277-282
Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Abstract

We introduce a fractional-order generalization of the hybrid integrator-gain system (HIGS) with memory reset of the fractional-order operator when re-enter the integration mode. We compute the describing function for rational orders in terms of Mittag-Leffler functions. The concepts also allow for the evaluation of the higher-order harmonics. For the implementation we represent higher-order approximations by combining first-order reset elements with an integrator. The fractional-order extension without memory reset can also be approximated using the same framework. Finally we show how the approximation affects the describing function.