Identification of the Fractional-Order Systems: A Frequency Domain Approach

Abstract

The paper deals with a comparison of different optimization methods to identification of fractional order dynamical systems.The fractional models of the examples of physical systems - ultracapacitors - are established. Then different real frequency responsesdata from a laboratory setup of the processes are collected and the comparison of identification methods based on least squares andtotal least squares are presented. The accuracy of the methods is discussed using the frequency responses of the identified model andthe theoretical one.

Keywords

• fractional calculus
• frequency response
• least squares method
• total least squares method
• ultracapacitor