Selected numerical methods to model the fractional-order system behavior of nonlaminated magnetic actuators

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

Nonlaminated magnetic actuators are highly influenced by eddy currents and minor perturbations like e. g. hysteresis. Known analytical models lead to trans-cendental system descriptions with fractional-order characteristics, not suited for the actuator control. Although analytical approximations resolve the issue, the inclusion of minor perturbations leads to impractical model orders, which require simplifications and compromise the model accuracy. This article studies numerical methods to directly approximate the transcendental systems or measurement data, allowing for a high accuracy with sufficiently low orders. We improve existing approaches like Levy’s method and vector fitting and apply them to a fractional-order system. Using measurement data, a comparison shows that the numerical approaches match or excel our previously studied analytical approximations.

Details

Original languageEnglish
Pages (from-to)186-197
Number of pages12
Journalat - Automatisierungstechnik
Volume71
Issue number3
Publication statusPublished - 10 Mar 2023
Peer-reviewedYes

External IDs

Scopus 85150051006
ORCID /0000-0002-6349-4007/work/149437572
Mendeley 85feb95b-505d-3209-b274-04d7c6120318

Keywords

Keywords

  • order reduction, actuators, complex-curve fitting, pole-zero-cancellation, FO systems