Fractional-Order Memory-Reset Hybrid Integrator-Gain System – Part I: Frequency Domain Properties
Year: 2025
Type: article
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.
Source: IFAC-PapersOnLine
Authors: C. Weise, K. Wulff, S.A. Hosseini, M.B. Kaczmarek, S.H. HosseinNia, J. Reger
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4415711994