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

Stability Analysis

Journal Article (2025)
Author(s)

C. Weise (Ilmenau University of Technology)

K. Wulff (Ilmenau University of Technology)

S. A. Hosseini (TU Delft - Mechanical Engineering)

M. B. Kaczmarek (TU Delft - Mechanical Engineering)

S. Hassan HosseinNia (TU Delft - Mechanical Engineering)

J. Reger (Ilmenau University of Technology)

Research Group
Mechatronic Systems Design
DOI related publication
https://doi.org/10.1016/j.ifacol.2025.10.117 Final published version
More Info
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Publication Year
2025
Language
English
Research Group
Mechatronic Systems Design
Journal title
IFAC-PapersOnline
Issue number
16
Volume number
59
Pages (from-to)
283-288
Event
11th IFAC Symposium on Robust Control Design, ROCOND 2025 (2025-07-02 - 2025-07-04), Porto, Portugal
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Abstract

We consider the fractional-order version of the hybrid integrator-gain system (HIGS) including memory reset. For the implementation an explicit higher-order approximation is considered, which combines first-order reset elements with an integer-order HIGS. This framework can also be used for fractional-order extensions without memory reset. Using passivity theory we present a Circle-Criterion-like condition for the closed-loop stability based on this higher-order approximation.