An Algebraic Approach for Identification of Linear Systems with Fractional Derivatives

2013/02/17 by Nicole Gehring, Joachim Rudolph, Gehring, Nicole +1
Engineering · Mathematics · #Advanced Control Systems Design #FOS: Mathematics #Fractional Differential Equations Solutions #Optimization and Control (math.OC) #math.OC

paper · pdf · doi:10.48550/arxiv.1302.4071

arxiv created 2013/02/17 · openalex publication_date 2013/02/17 · arxiv updated 2013/02/19 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

Identification of fractional order systems is considered from an algebraic point of view. It allows for a simultaneous estimation of model parameters and fractional (or integer) orders from input and output data. It is exact in that no approximations are required. Using Mikusinski's operational calculus, algebraic manipulations are performed on the operational representation of the system. The unknown parameters and (fractional) orders are calculated solely from convolutions of known signals. A generalized Voigt model describing a viscoelastic material is used to illustrate the approach.

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