Fractional-Order Memory-Reset Hybrid Integrator-Gain System - Part II
Stability Analysis
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)
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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.
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