MATHMOD 2022 Discussion Contributions

Damage Modeling for the Tree-Like Network with Fractional-Order Calculus

ARGESIM Report 17 (ISBN 978-3-901608-95-7), p 21-22, DOI: 10.11128/arep.17.a17047

Abstract

This paper shows that a tree-like network with damage can be modeled as the product of a fractionalorder (FO) nominal plant and a FO multiplicative disturbance, which is well structured and completely characterized by the damage amount at each damaged component. Such way of modeling brings insight about that damaged network’s behavior and helps us design robust controllers under uncertain damages and identify the damage.