Fractional-Order Memory-Reset Hybrid Integrator-Gain System – Part II: Stability Analysis
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.
Authors
- S. Hassan HosseinNia (ORCID: https://orcid.org/0000-0002-7475-4628)
- Marcin B. Kaczmarek (ORCID: https://orcid.org/0000-0003-1469-2303)
- Christoph Weise (ORCID: https://orcid.org/0000-0002-5507-4694)
- Seyyed Abed Hosseini (ORCID: https://orcid.org/0000-0002-0211-6248)
- Kai Wulff (ORCID: https://orcid.org/0009-0005-9362-6284)
- Johann Reger (ORCID: https://orcid.org/0000-0002-6756-0008)
Institutions
- Technische Universität Ilmenau (DE)
- Delft University of Technology (NL)
Publication Details
- Journal
- IFAC-PapersOnLine
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1016/j.ifacol.2025.10.117
- Primary Topic
- Advanced Control Systems Design
- Type
- article
- Field-Weighted Citation Impact
- 0.00